diff --git a/.pylintrc b/.pylintrc
index 1abf3217..13bd5887 100644
--- a/.pylintrc
+++ b/.pylintrc
@@ -3,7 +3,8 @@ disable=
 	fixme,
 	invalid-name,
 	len-as-condition,
-	no-else-return
+	no-else-return,
+    broad-exception-raised
 
 [FORMAT]
 # Regexp for a line that is allowed to be longer than the limit.
diff --git a/docs/source/conf.py b/docs/source/conf.py
index 54db7886..f6205537 100644
--- a/docs/source/conf.py
+++ b/docs/source/conf.py
@@ -79,11 +79,8 @@
 
 # autodoc settings
 autodoc_typehints = "signature"
-autodoc_default_options = {
-    "members": True,
-    "show-inheritance": True,
-}
-
+autodoc_default_options = {"members": True, "show-inheritance": True, "private-members": True}
+default_role = "py:obj"
 intersphinx_mapping = {
     "morphio": ("https://morphio.readthedocs.io/en/latest/", None),
     "neurom": ("https://neurom.readthedocs.io/en/stable/", None),
diff --git a/neurots/astrocyte/grower.py b/neurots/astrocyte/grower.py
index 9a840b83..9ae3cc90 100644
--- a/neurots/astrocyte/grower.py
+++ b/neurots/astrocyte/grower.py
@@ -98,8 +98,8 @@ def __init__(
         input_parameters,
         input_distributions,
         context,
+        skip_preprocessing=True,
         external_diametrizer=None,
-        skip_validation=False,
         rng_or_seed=np.random,
     ):
         super().__init__(
@@ -107,7 +107,7 @@ def __init__(
             input_distributions,
             context=SpaceColonizationContext(context),
             external_diametrizer=external_diametrizer,
-            skip_validation=skip_validation,
+            skip_preprocessing=skip_preprocessing,
             rng_or_seed=rng_or_seed,
         )
 
diff --git a/neurots/astrocyte/tree.py b/neurots/astrocyte/tree.py
index e18c7772..9928c717 100644
--- a/neurots/astrocyte/tree.py
+++ b/neurots/astrocyte/tree.py
@@ -45,7 +45,6 @@ def _initialize_algorithm(self):
             params=self.params,
             start_point=self.point,
             context=self.context,
-            skip_validation=self.skip_validation,
             random_generator=self._rng,
         )
 
diff --git a/neurots/extract_input/from_neurom.py b/neurots/extract_input/from_neurom.py
index b36ba53d..8d34a609 100644
--- a/neurots/extract_input/from_neurom.py
+++ b/neurots/extract_input/from_neurom.py
@@ -18,6 +18,9 @@
 import neurom as nm
 import numpy as np
 from neurom import stats
+from neurom.features.morphology import trunk_vectors
+
+from neurots.utils import PIA_DIRECTION
 
 
 def transform_distr(opt_distr):
@@ -99,7 +102,67 @@ def soma_data(pop):
     return {"size": transform_distr(ss)}
 
 
-def trunk_neurite(pop, neurite_type=nm.BASAL_DENDRITE, bins=30):
+def trunk_neurite_3d_angles(pop, neurite_type, bins):
+    """Extract 3d trunk angle data.
+
+    We extract non-projected, or 3d angles between the pia/apical and any neurite trunk.
+
+    If no apical dendrite is present, the entry `apical_3d_angles` will be absent.
+
+    Args:
+        pop (neurom.core.population.Population): The given population.
+        neurite_type (neurom.core.types.NeuriteType): Consider only the neurites of this type.
+        bins (int or list[int] or str, optional): The bins to use (this parameter is passed to
+            :func:`numpy.histogram`).
+
+    Returns:
+        dict: A dictionary with the following structure:
+
+        .. code-block:: bash
+
+            {
+                "trunk": {
+                    "pia_3d_angles": {
+                        "data": {
+                            "bins": <bin values>,
+                            "weights": <weights>
+                        }
+                    },
+                    "apical_3d_angles": {
+                        "data": {
+                            "bins": <bin values>,
+                            "weights": <weights>
+                        }
+                    }
+                }
+            }
+    """
+    pia_3d_angles = []
+    apical_3d_angles = []
+    for morph in pop.morphologies:
+        vecs = trunk_vectors(morph, neurite_type=neurite_type)
+        pia_3d_angles += [nm.morphmath.angle_between_vectors(PIA_DIRECTION, vec) for vec in vecs]
+        if neurite_type.name != "apical_dendrite":
+            apical_ref_vec = trunk_vectors(morph, neurite_type=nm.APICAL_DENDRITE)
+            if len(apical_ref_vec) > 0:
+                apical_3d_angles += [
+                    nm.morphmath.angle_between_vectors(apical_ref_vec[0], vec) for vec in vecs
+                ]
+
+    def _get_hist(data):
+        """Return density histogram with bin centers."""
+        densities, _bins = np.histogram(data, bins=bins, density=True)
+        return densities, 0.5 * (_bins[1:] + _bins[:-1])
+
+    weights, _bins = _get_hist(pia_3d_angles)
+    data = {"pia_3d_angles": {"data": {"bins": _bins.tolist(), "weights": weights.tolist()}}}
+    if len(apical_3d_angles) > 0:
+        weights, _bins = _get_hist(apical_3d_angles)
+        data["apical_3d_angles"] = {"data": {"bins": _bins.tolist(), "weights": weights.tolist()}}
+    return {"trunk": data}
+
+
+def trunk_neurite_simple(pop, neurite_type, bins):
     """Extract the trunk data for a specific tree type.
 
     Args:
@@ -122,7 +185,7 @@ def trunk_neurite(pop, neurite_type=nm.BASAL_DENDRITE, bins=30):
                         }
                     },
                     "azimuth": {
-                        "inuform": {
+                        "uniform": {
                             "min": <min value>,
                             "max": <max value>
                         }
@@ -168,6 +231,30 @@ def trunk_neurite(pop, neurite_type=nm.BASAL_DENDRITE, bins=30):
     }
 
 
+def trunk_neurite(pop, neurite_type=nm.BASAL_DENDRITE, bins=30):
+    """Extract the trunk data for a specific tree type.
+
+    See docstring of :func:`trunk_neurite_simple` and :func:`trunk_neurite_3d_angles`
+    for more details on the extracted angles.
+
+    Args:
+        pop (neurom.core.population.Population): The given population.
+        neurite_type (neurom.core.types.NeuriteType): Consider only the neurites of this type.
+        bins (int or list[int] or str, optional): The bins to use (this parameter is passed to
+            :func:`numpy.histogram`).
+        method (str): Method to use, either `simple` or `3d_angles`.
+
+    Returns:
+        dict: A dictionary with the trunk data.
+    """
+    trunk_data = trunk_neurite_simple(pop, neurite_type=neurite_type, bins=bins)
+    # adds 3d_angle related distributions
+    trunk_data["trunk"].update(
+        trunk_neurite_3d_angles(pop, neurite_type=neurite_type, bins=bins)["trunk"]
+    )
+    return trunk_data
+
+
 def number_neurites(pop, neurite_type=nm.BASAL_DENDRITE):
     """Extract the number of trees for a specific tree type from a given population.
 
diff --git a/neurots/extract_input/input_distributions.py b/neurots/extract_input/input_distributions.py
index b35ca854..ff1639cc 100644
--- a/neurots/extract_input/input_distributions.py
+++ b/neurots/extract_input/input_distributions.py
@@ -111,9 +111,9 @@ def distributions(
         else:
             type_feature = feature.get(neurite_type, "path_distances")
         nm_type = getattr(NeuriteType, neurite_type)
+
         input_distributions[neurite_type] = _append_dicts(
-            trunk_neurite(pop_nm, nm_type),
-            number_neurites(pop_nm, nm_type),
+            trunk_neurite(pop_nm, nm_type), number_neurites(pop_nm, nm_type)
         )
         if type_feature in ["path_distances", "radial_distances"]:
             _append_dicts(
diff --git a/neurots/extract_input/input_parameters.py b/neurots/extract_input/input_parameters.py
index 5d88dd37..349c4bf5 100644
--- a/neurots/extract_input/input_parameters.py
+++ b/neurots/extract_input/input_parameters.py
@@ -26,7 +26,7 @@ def parameters(
     neurite_types=None,
     feature="path_distances",
     diameter_parameters=None,
-):
+):  # pylint: disable=too-many-branches
     """Returns a default set of input parameters to be used as input for synthesis.
 
     Args:
diff --git a/neurots/generate/algorithms/tmdgrower.py b/neurots/generate/algorithms/tmdgrower.py
index 41c9bf13..a8461958 100644
--- a/neurots/generate/algorithms/tmdgrower.py
+++ b/neurots/generate/algorithms/tmdgrower.py
@@ -27,7 +27,6 @@
 from neurots.generate.algorithms.common import section_data
 from neurots.morphmath import sample
 from neurots.morphmath.utils import norm
-from neurots.preprocess.relevance_checkers import check_min_bar_length
 
 L = logging.getLogger(__name__)
 
@@ -40,7 +39,6 @@ class TMDAlgo(AbstractAlgo):
         params (dict): The parameters required for growth. It should include the
             ``branching_method`` selected from: ``|bio_oriented, symmetric, directional]``.
         start_point (list[float]): The first point of the trunk.
-        skip_validation (bool): If set to ``False``, the parameters and distributions and
             the "min_bar_length" parameter are validated.
         context (Any): An object containing contextual information.
         random_generator (numpy.random.Generator): The random number generator to use.
@@ -51,7 +49,6 @@ def __init__(
         input_data,
         params,
         start_point,
-        skip_validation=False,
         context=None,
         random_generator=np.random,
         **_,
@@ -64,9 +61,6 @@ def __init__(
         self.apical_section = None
         self.apical_point_distance_from_soma = 0.0
         self.persistence_length = self.barcode.get_persistence_length()
-        # Validate parameters and distributions
-        if not skip_validation:
-            check_min_bar_length(params, input_data, start_point, context)
 
     def select_persistence(self, input_data, random_generator=np.random):
         """Select the persistence.
diff --git a/neurots/generate/grower.py b/neurots/generate/grower.py
index e578c6e6..f542216d 100644
--- a/neurots/generate/grower.py
+++ b/neurots/generate/grower.py
@@ -30,15 +30,15 @@
 from neurots.generate import diametrizer
 from neurots.generate import orientations as _oris
 from neurots.generate.orientations import OrientationManager
+from neurots.generate.orientations import check_3d_angles
 from neurots.generate.soma import Soma
 from neurots.generate.soma import SomaGrower
 from neurots.generate.tree import TreeGrower
 from neurots.morphmath import sample
 from neurots.morphmath.utils import normalize_vectors
+from neurots.preprocess import preprocess_inputs
 from neurots.utils import NeuroTSError
 from neurots.utils import convert_from_legacy_neurite_type
-from neurots.validator import validate_neuron_distribs
-from neurots.validator import validate_neuron_params
 
 L = logging.getLogger(__name__)
 
@@ -67,8 +67,8 @@ class NeuronGrower:
         input_distributions (dict): Distributions extracted from biological data.
         context (Any): An object containing contextual information.
         external_diametrizer (Callable): Diametrizer function for external diametrizer module
-        skip_validation (bool): If set to ``False``, the parameters and distributions are
-            validated.
+        skip_proprocessing (bool): If set to ``False``, the parameters and distributions are
+            preprocessed with registered validator and preprocessors.
         rng_or_seed (int or numpy.random.Generator): A random number generator to use. If an
             int is given, it is passed to :func:`numpy.random.default_rng()` to create a new
             random number generator.
@@ -83,14 +83,13 @@ def __init__(
         input_distributions,
         context=None,
         external_diametrizer=None,
-        skip_validation=False,
+        skip_preprocessing=False,
         rng_or_seed=np.random,
         trunk_orientations_class=OrientationManager,
     ):
         """Constructor of the NeuronGrower class."""
         self.neuron = Morphology()
         self.context = context
-        self.skip_validation = skip_validation
         if rng_or_seed is None or isinstance(
             rng_or_seed, (int, np.integer, SeedSequence, BitGenerator)
         ):
@@ -107,35 +106,12 @@ def __init__(
         L.debug("Input Parameters: %s", self.input_parameters)
         self.input_distributions = _load_json(input_distributions)
 
-        # Validate parameters and distributions
-        if not skip_validation:
-            self.validate_params()
-            self.validate_distribs()
-
-        # Consistency check between parameters and distributions
-        for tree_type in self.input_parameters["grow_types"]:
-            metric1 = self.input_parameters[tree_type].get("metric")
-            metric2 = self.input_distributions[tree_type].get("filtration_metric")
-            if metric1 not in ["trunk_length", metric2]:
-                raise ValueError(
-                    "Metric of parameters and distributions is inconsistent:"
-                    + f" {metric1} != {metric2}"
-                )
-
-        method1 = self.input_parameters["diameter_params"]["method"]
-        method2 = self.input_distributions["diameter"]["method"]
-        if method1 != method2:
-            raise ValueError(
-                "Diameters methods of parameters and distributions is inconsistent:"
-                + f" {method1} != {method2}"
+        # Validate and preprocess parameters and distributions
+        if not skip_preprocessing:
+            self.input_parameters, self.input_distributions = preprocess_inputs(
+                self.input_parameters, self.input_distributions
             )
 
-        if (
-            self.input_distributions["diameter"]["method"] == "external"
-            and external_diametrizer is None
-        ):
-            raise ValueError("External diametrizer is missing the diametrizer function.")
-
         # A list of trees with the corresponding orientations
         # and initial points on the soma surface will be initialized.
         self.active_neurites = []
@@ -157,14 +133,6 @@ def __init__(
 
         self._trunk_orientations_class = trunk_orientations_class
 
-    def validate_params(self):
-        """Validate the parameter dictionary."""
-        validate_neuron_params(self.input_parameters)
-
-    def validate_distribs(self):
-        """Validate the distribution dictionary."""
-        validate_neuron_distribs(self.input_distributions)
-
     def next(self):
         """Call the "next" method of each neurite grower."""
         for grower in list(self.active_neurites):
@@ -205,6 +173,12 @@ def _post_grow(self):
 
     def _init_diametrizer(self, external_diametrizer=None):
         """Set a diametrizer function."""
+        if (
+            self.input_distributions["diameter"]["method"] == "external"
+            and external_diametrizer is None
+        ):
+            raise ValueError("External diametrizer is missing the diametrizer function.")
+
         if self.input_distributions["diameter"]["method"] == "no_diameters":
             self._diametrize = lambda: None
             L.warning("No diametrizer provided, so neurons will have default diameters.")
@@ -304,10 +278,10 @@ def _convert_orientation2points(self, orientation, n_trees, distr, params):
         pts = self.soma_grower.add_points_from_orientations(orientations)
         return pts
 
-    def _grow_trunks(self):
+    def _simple_grow_trunks(self):
         """Grow the trunks.
 
-        Generates the initial points of each tree, which depend on the selectedS
+        Generates the initial points of each tree, which depend on the selected
         tree types and the soma surface. All the trees start growing from the surface
         of the soma. The outgrowth direction is either specified in the input parameters,
         as ``parameters['type']['orientation']`` or it is randomly chosen according to the
@@ -364,12 +338,52 @@ def _grow_trunks(self):
                         initial_point=p,
                         parameters=params,
                         distributions=distr,
-                        skip_validation=self.skip_validation,
                         context=self.context,
                         random_generator=self._rng,
                     )
                 )
 
+    def _3d_angles_grow_trunks(self):
+        """Grow trunk with 3d_angles method via :func:`.orientation.OrientationManager` class.
+
+        Args:
+            input_parameters_with_3d_anglles (dict): input_parameters with fits for 3d angles
+        """
+        trunk_orientations_manager = self._trunk_orientations_class(
+            soma=self.soma_grower.soma,
+            parameters=self.input_parameters,
+            distributions=self.input_distributions,
+            context=self.context,
+            rng=self._rng,
+        )
+        for neurite_type in self.input_parameters["grow_types"]:
+            orientations = trunk_orientations_manager.compute_tree_type_orientations(neurite_type)
+
+            for p in self.soma_grower.add_points_from_orientations(orientations):
+                self.active_neurites.append(
+                    TreeGrower(
+                        self.neuron,
+                        initial_direction=self.soma_grower.soma.orientation_from_point(p),
+                        initial_point=p,
+                        parameters=self.input_parameters[neurite_type],
+                        distributions=self.input_distributions[neurite_type],
+                        context=self.context,
+                        random_generator=self._rng,
+                    )
+                )
+
+    def _grow_trunks(self):
+        """Grow the trunks.
+
+        Two methods are available, depending on the data present in the `input_parameters`.
+        If no `3d_angles` entry is present, we grow trunks with :func:`_simple_grow_trunks` else
+        we fit the raw binned 3d angle data and apply :func:`_3d_angles_grow_trunks`.
+        """
+        if check_3d_angles(self.input_parameters):
+            self._3d_angles_grow_trunks()
+        else:
+            self._simple_grow_trunks()
+
     def _grow_soma(self, soma_type="contour"):
         """Generates a soma based on the input_distributions.
 
diff --git a/neurots/generate/orientations.py b/neurots/generate/orientations.py
index f946ab39..de658b87 100644
--- a/neurots/generate/orientations.py
+++ b/neurots/generate/orientations.py
@@ -16,15 +16,34 @@
 # along with this program.  If not, see <https://www.gnu.org/licenses/>.
 
 import inspect
+import warnings
+from copy import deepcopy
 
+import neurom as nm
 import numpy as np
+from scipy.optimize import curve_fit
+from scipy.special import expit
 
 from neurots.morphmath import rotation
 from neurots.morphmath import sample
 from neurots.morphmath.utils import normalize_vectors
+from neurots.utils import PIA_DIRECTION
 from neurots.utils import NeuroTSError
 
 _TWOPI = 2.0 * np.pi
+FIT_3D_ANGLES_BOUNDS = {
+    "double_step": ([0, 0.1, -np.pi, 0.1], [np.pi, 10, 0, 10]),
+    "step": ([-np.pi, 0.1], [np.pi, 10]),
+}
+FIT_3D_ANGLES_PARAMS = {
+    "with_apical": {"basal_dendrite": {"form": "step", "bounds": FIT_3D_ANGLES_BOUNDS["step"]}},
+    "without_apical": {"basal_dendrite": {"form": "flat", "bounds": []}},
+}
+_3D_ANGLES_MAPPING = {
+    "apical_constraint": "apical_3d_angles",
+    "pia_constraint": "pia_3d_angles",
+}
+_3D_ANGLES_MODES = {"apical_constraint", "pia_constraint", "normal_pia_constraint"}
 
 
 class OrientationManagerBase:
@@ -196,6 +215,69 @@ def _mode_sample_pairwise_angles(self, _, tree_type):
             orientations_i.append(spherical_angles_to_orientations(phis, thetas))
         return np.vstack(orientations_i)
 
+    def _mode_uniform(self, _, tree_type):
+        """Uniformly sample angles on the sphere."""
+        n_orientations = sample.n_neurites(self._distributions[tree_type]["num_trees"], self._rng)
+        return np.asarray(
+            [sample.sample_spherical_unit_vectors(rng=self._rng) for _ in range(n_orientations)]
+        )
+
+    def _mode_normal_pia_constraint(self, values_dict, _):
+        """Returns orientations using normal/exp distribution along a direction.
+
+        The `direction` value should be a dict with two entries: `mean` and `std`. The mean is the
+        angle wrt to pia (`[0, 1, 0]`) direction and the second is the standard deviation of a
+        normal distribution if `mean>0` or scaling of exponential distribution if `mean=0`. As the
+        resulting angle must be in `[0, 2 * pi]`, we clip the obtained angle and uniformly sample
+        the second angle to obtain a 3d direction. For multiple apical trees, `mean` and `std`
+        should be two lists with lengths equal to number of trees, otherwise it can be a float.
+        """
+        means = values_dict["direction"]["mean"]
+        means = means if isinstance(means, list) else [means]
+        stds = values_dict["direction"]["std"]
+        stds = stds if isinstance(stds, list) else [stds]
+
+        thetas = []
+        for mean, std in zip(means, stds):
+            if mean == 0:
+                if std > 0:
+                    thetas.append(np.clip(self._rng.exponential(std), 0, np.pi))
+                else:
+                    thetas.append(0)
+            else:
+                thetas.append(np.clip(self._rng.normal(mean, std), 0, np.pi))
+
+        phis = self._rng.uniform(0, 2 * np.pi, len(means))
+        return spherical_angles_to_pia_orientations(phis, thetas)
+
+    def _mode_pia_constraint(self, _, tree_type):
+        """Create trunks from distribution of angles with pia (`[0 , 1, 0]`) direction.
+
+        See :func:`_sample_trunk_from_3d_angle` for more details on the algorithm.
+        """
+        n_orientations = sample.n_neurites(self._distributions[tree_type]["num_trees"], self._rng)
+        pia_direction = self._parameters.get("pia_direction", PIA_DIRECTION)
+        return np.asarray(
+            [
+                _sample_trunk_from_3d_angle(self._parameters, self._rng, tree_type, pia_direction)
+                for _ in range(n_orientations)
+            ]
+        )
+
+    def _mode_apical_constraint(self, _, tree_type):
+        """Create trunks from distribution of angles with apical direction.
+
+        See :func:`_sample_trunk_from_3d_angle` for more details on the algorithm.
+        """
+        n_orientations = sample.n_neurites(self._distributions[tree_type]["num_trees"], self._rng)
+        ref_dir = self._orientations["apical_dendrite"][0]
+        return np.asarray(
+            [
+                _sample_trunk_from_3d_angle(self._parameters, self._rng, tree_type, ref_dir)
+                for _ in range(n_orientations)
+            ]
+        )
+
 
 def spherical_angles_to_orientations(phis, thetas):
     """Compute orientation from spherical angles.
@@ -359,3 +441,209 @@ def compute_interval_n_tree(soma, n_trees, rng=np.random):
         interval_n_trees = np.array([n_trees])
 
     return phi_intervals, interval_n_trees
+
+
+def spherical_angles_to_pia_orientations(phis, thetas):
+    """Compute orientation from spherical angles where thetas are wrt to pia at `[0, 1, 0]`.
+
+    Args:
+        phis (numpy.ndarray): Polar angles.
+        thetas (numpy.ndarray): Azimuthal angles.
+
+    Returns:
+        numpy.ndarray: The orientation vectors where each row corresponds to a phi-theta pair.
+    """
+    return np.column_stack(
+        (np.cos(phis) * np.sin(thetas), np.cos(thetas), np.sin(phis) * np.sin(thetas))
+    )
+
+
+def get_probability_function(form="step", with_density=True):
+    """Get probability functions to fit 3d trunk angles distributions.
+
+    Args:
+        form (str): Form of the function, can be `flat`, `step` or `double_step`.
+        with_density (bool): Return the function with spherical density factor or not.
+
+    Three forms of functions are available:
+    - `flat`: uniform flat distribution
+    - `step`: distribution with a single sigmoid :func:`scipy.special.expit`
+    - `double_step`: distribution with two opposite sigmoids :func:`scipy.special.expit`
+
+    Each sigmoid is parametrized by a scale and a rate.
+
+    In practice, the `flat` function is used when no asymetry is present in the data, and the other
+    two are when an asymmetry towards one direction, usually opposite to pia or apical,
+    or two directions, usually along and opposite to pia.
+
+    Returns:
+        function with first arg as angle and next args to parametrize the function
+    """
+    if form == "flat":
+
+        def flat_prob(angle):
+            p = 1.0 + 0 * angle
+            if with_density:
+                p *= np.sin(angle)
+            return p
+
+        return flat_prob
+
+    if form == "step":
+
+        def single_prob(angle, scale, rate):
+            def _prob(angle):
+                return expit((angle - scale) / rate)
+
+            p = _prob(angle) / max(_prob(np.linspace(0, np.pi, 100)))
+            if with_density:
+                p *= np.sin(angle)
+            return np.clip(p, 0.0, 1.0)
+
+        return single_prob
+
+    if form == "double_step":
+
+        def double_prob(angle, scale_low, rate_low, scale_high, rate_high):
+            def _prob(angle):
+                return 0.5 * (
+                    expit((angle - scale_low) / rate_low) + expit((-angle - scale_high) / rate_high)
+                )
+
+            p = _prob(angle) / max(_prob(np.linspace(0, np.pi, 100)))
+            if with_density:
+                p *= np.sin(angle)
+            return np.clip(p, 0.0, 1.0)
+
+        return double_prob
+
+    raise ValueError(
+        f"The '{form}' value is unknown, it should be one of ['flat', 'step', 'double_step']"
+    )
+
+
+def _fit_single_3d_angles(data, neurite_type, morph_class, fit_params=None):
+    """Fit function to distribution of 3d angles for a `neurite_type`.
+
+    Args:
+        data (dict): bins and weights data from input_distribution
+        neurite_type (str): neurite_type to consider
+        morph_class (str): morph_class of the neuron (with_apical or without_apical)
+        fit_params (dict): specific fit parameters such as form and bounds to overwrite the defaults
+    """
+    _fit_params = deepcopy(FIT_3D_ANGLES_PARAMS)
+    if fit_params is not None:
+        _fit_params[morph_class][neurite_type].update(fit_params)
+    form = _fit_params[morph_class][neurite_type]["form"]
+    if form != "flat":
+        function = get_probability_function(form, with_density=True)
+
+        try:
+            popt = curve_fit(
+                function,
+                data["bins"],
+                data["weights"],
+                bounds=_fit_params[morph_class][neurite_type]["bounds"],
+            )[0].tolist()
+        except RuntimeError:  # pragma: no cover
+            warnings.warn("Cannot fit some trunk angles, we fallback to flat distribution")
+            form = "flat"
+            popt = []
+    else:
+        popt = []
+    return {"form": form, "params": popt}
+
+
+def _get_fit_params_from_input_parameters(parameters):
+    """Get parameter dict for fits from `tmd_parameters`."""
+    values = parameters["orientation"].get("values")
+    if values is not None:
+        form = values.get("form")
+        if form is not None and values.get("params") is None:
+            bounds = values.get("bounds", FIT_3D_ANGLES_BOUNDS.get(form, None))
+            return {"form": form, "bounds": deepcopy(bounds)}
+    return None
+
+
+def check_3d_angles(tmd_parameters):
+    """Check whether the parameters correspond to 3d_angle modes, and return a bool."""
+    with_3d = []
+    for neurite_type in tmd_parameters["grow_types"]:
+        orient = tmd_parameters[neurite_type]["orientation"]
+        if orient is not None and "mode" in orient and orient["mode"] in _3D_ANGLES_MODES:
+            with_3d.append(True)
+        else:
+            with_3d.append(False)
+    if len(set(with_3d)) > 1:
+        raise NeuroTSError("Only partial 3d_angle parameters are present")
+    return with_3d[0]
+
+
+def fit_3d_angles(tmd_parameters, tmd_distributions):
+    """Fit functions to 3d_angles from `tmd_distributions` and save in copy of `tmd_parameters`.
+
+    If the fit parameters are already in `tmd_parameters`, the fit is skipped.
+
+    Args:
+        tmd_parameters (dict): Input parameters.
+        tmd_distributions (dict): Input distributions.
+
+    Returns:
+        `tmd_parmeters` with fit data if `3d_angles` mode is found, else None
+    """
+    morph_class = (
+        "with_apical" if "apical_dendrite" in tmd_parameters["grow_types"] else "without_apical"
+    )
+
+    for neurite_type in tmd_parameters["grow_types"]:
+        orientation = tmd_parameters[neurite_type]["orientation"]
+
+        if orientation is None or "mode" not in orientation:
+            continue
+
+        mode = orientation["mode"]
+        make_fit = False
+        if mode in _3D_ANGLES_MAPPING:
+            if orientation.get("values") is None:
+                make_fit = True
+            else:
+                val = orientation["values"]
+                if "params" not in val and "direction" not in val:
+                    make_fit = True
+
+        if make_fit:
+            tmd_parameters[neurite_type]["orientation"]["values"] = _fit_single_3d_angles(
+                tmd_distributions[neurite_type]["trunk"][_3D_ANGLES_MAPPING[mode]]["data"],
+                neurite_type,
+                morph_class,
+                fit_params=_get_fit_params_from_input_parameters(tmd_parameters[neurite_type]),
+            )
+
+    return tmd_parameters
+
+
+def _sample_trunk_from_3d_angle(parameters, rng, tree_type, ref_dir, max_tries=100):
+    """Sample trunk directions from fit of distribution of `3d_angles` wrt to `ref_dir`.
+
+    We use the accept-reject algorithm so we can sample from any distribution.
+    After a number of unsuccessful tries (default=100), we stop and return a random direction.
+    We also issue a warning so the user is aware that the provided distribution may have issues,
+    mostly related to large region of small probabilities.
+    """
+    prob = get_probability_function(
+        form=parameters[tree_type]["orientation"]["values"]["form"],
+        with_density=False,
+    )
+    params = parameters[tree_type]["orientation"]["values"]["params"]
+    n_try = 0
+    while n_try < max_tries:
+        propose = sample.sample_spherical_unit_vectors(rng)
+        angle = nm.morphmath.angle_between_vectors(ref_dir, propose)
+        if rng.binomial(1, prob(angle, *params)):
+            return propose
+        n_try += 1
+    warnings.warn(
+        """We could not sample from distribution, so we take a random point.
+                    Consider checking the given probability distribution."""
+    )
+    return sample.sample_spherical_unit_vectors(rng)
diff --git a/neurots/generate/tree.py b/neurots/generate/tree.py
index 3bea095f..89f0e649 100644
--- a/neurots/generate/tree.py
+++ b/neurots/generate/tree.py
@@ -107,7 +107,6 @@ def __init__(
         initial_point,
         parameters,
         distributions,
-        skip_validation=False,
         context=None,
         random_generator=np.random,
     ):
@@ -120,7 +119,6 @@ def __init__(
         self.distr = distributions
         self.active_sections = []
         self.context = context
-        self.skip_validation = skip_validation
         self._rng = random_generator
 
         # Creates the distribution from which the segment lengths
@@ -137,7 +135,6 @@ def _initialize_algorithm(self):
             input_data=self.distr,
             params=self.params,
             start_point=self.point,
-            skip_validation=self.skip_validation,
             context=self.context,
             random_generator=self._rng,
         )
diff --git a/neurots/morphmath/sample.py b/neurots/morphmath/sample.py
index b69cf94e..e9b6207c 100644
--- a/neurots/morphmath/sample.py
+++ b/neurots/morphmath/sample.py
@@ -145,3 +145,13 @@ def ph(phs, random_generator=np.random):
     """Samples randomly a persistence diagram from the input distribution."""
     index = random_generator.choice(len(phs))
     return phs[index]
+
+
+def sample_spherical_unit_vectors(rng):
+    """Sample a point uniformly on the sphere.
+
+    Args:
+        rng: random number generator
+    """
+    x = rng.normal(0, 1, 3)
+    return x / np.linalg.norm(x)
diff --git a/neurots/preprocess/__init__.py b/neurots/preprocess/__init__.py
index 8919e6c9..b97a5df9 100644
--- a/neurots/preprocess/__init__.py
+++ b/neurots/preprocess/__init__.py
@@ -15,6 +15,7 @@
 # You should have received a copy of the GNU General Public License
 # along with this program.  If not, see <https://www.gnu.org/licenses/>.
 
+from neurots.preprocess import preprocessors  # noqa
 from neurots.preprocess import relevance_checkers  # noqa
 from neurots.preprocess import validity_checkers  # noqa
 from neurots.preprocess.utils import preprocess_inputs  # noqa
diff --git a/neurots/preprocess/preprocessors.py b/neurots/preprocess/preprocessors.py
index bc4a8cb3..ca25bbee 100644
--- a/neurots/preprocess/preprocessors.py
+++ b/neurots/preprocess/preprocessors.py
@@ -1,11 +1,12 @@
 """Functions to modify the given parameters and distributions before running the algorithm.
 
-The functions used as preprocesses should have a name like 'preprocess_*' and have the following
-signature: `check_something(params, distrs)`. These functions should be very generic and should
-not depend on any context in which the related grower is used.
+The functions used as preprocesses should have the signature: `check_something(params, distrs)`.
+These functions should be very generic and should not depend on any context in which the related
+grower is used.
 
 The preprocesses should be registered to be executed in the preprocess step using the
-`@register_preprocess` decorator.
+`@register_preprocessor` decorator if they are applied per grow_type and growth_method, or with
+`@register_global_processor` if they need the entire data.
 """
 
 # Copyright (C) 2022  Blue Brain Project, EPFL
@@ -23,5 +24,11 @@
 # You should have received a copy of the GNU General Public License
 # along with this program.  If not, see <https://www.gnu.org/licenses/>.
 
-# TODO: uncomment the next line when a preprocess is added
-# from neurots.preprocess.utils import register_preprocessor
+from neurots.generate.orientations import fit_3d_angles
+from neurots.preprocess.utils import register_global_preprocessor
+
+
+@register_global_preprocessor()
+def preprocess_3d_angles(params, distrs):
+    """Fit 3d angle data if enabled."""
+    fit_3d_angles(params, distrs)
diff --git a/neurots/preprocess/utils.py b/neurots/preprocess/utils.py
index 5dc38cb6..dde62a56 100644
--- a/neurots/preprocess/utils.py
+++ b/neurots/preprocess/utils.py
@@ -19,15 +19,24 @@
 from copy import deepcopy
 from itertools import chain
 
-from neurots.validator import validate_neuron_distribs
-from neurots.validator import validate_neuron_params
-
 _REGISTERED_FUNCTIONS = {
     "preprocessors": defaultdict(set),
     "validators": defaultdict(set),
+    "global_preprocessors": set(),
+    "global_validators": set(),
 }
 
 
+def register_global_preprocessor():
+    """Register a global preprocess function."""
+
+    def inner(func):
+        _REGISTERED_FUNCTIONS["global_preprocessors"].add(func)
+        return func
+
+    return inner
+
+
 def register_preprocessor(*growth_methods):
     """Register a preprocess function."""
 
@@ -39,6 +48,16 @@ def inner(func):
     return inner
 
 
+def register_global_validator():
+    """Register a global validation function."""
+
+    def inner(func):
+        _REGISTERED_FUNCTIONS["global_validators"].add(func)
+        return func
+
+    return inner
+
+
 def register_validator(*growth_methods):
     """Register a validation function."""
 
@@ -54,8 +73,11 @@ def preprocess_inputs(params, distrs):
     """Validate and preprocess all inputs."""
     params = deepcopy(params)
     distrs = deepcopy(distrs)
-    validate_neuron_params(params)
-    validate_neuron_distribs(distrs)
+    for preprocess_func in chain(
+        _REGISTERED_FUNCTIONS["global_validators"],
+        _REGISTERED_FUNCTIONS["global_preprocessors"],
+    ):
+        preprocess_func(params, distrs)
 
     for grow_type in params["grow_types"]:
         growth_method = params[grow_type]["growth_method"]
diff --git a/neurots/preprocess/validity_checkers.py b/neurots/preprocess/validity_checkers.py
index b2928a88..bdabf519 100644
--- a/neurots/preprocess/validity_checkers.py
+++ b/neurots/preprocess/validity_checkers.py
@@ -1,11 +1,12 @@
 """Functions to check that the given parameters and distributions will not break the algorithm.
 
-The functions used as validity checkers should have a name like 'check_*' and have the following
-signature: `check_something(params, distrs)`. These functions should be very generic and should
-not depend on any context in which the related grower is used.
+The functions for validity checkers should have the signature: `check_something(params, distrs)`.
+These functions should be very generic and should not depend on any context in which the related
+grower is used.
 
 The checkers should be registered to be executed in the preprocess step using the
-`@register_validator` decorator.
+`@register_validator` decorator if they are applied per grow_type and growth_method, or with
+`@register_global_validator` if they need the entire data.
 """
 
 # Copyright (C) 2022  Blue Brain Project, EPFL
@@ -25,7 +26,10 @@
 
 from neurots.preprocess.exceptions import NeuroTSValidationError
 from neurots.preprocess.relevance_checkers import check_min_bar_length
+from neurots.preprocess.utils import register_global_validator
 from neurots.preprocess.utils import register_validator
+from neurots.validator import validate_neuron_distribs
+from neurots.validator import validate_neuron_params
 
 
 @register_validator("trunk")
@@ -39,6 +43,18 @@ def check_num_seg(params, distrs):
         )
 
 
+@register_global_validator()
+def validate_parameters(params, _):
+    """Validate parameters."""
+    validate_neuron_params(params)
+
+
+@register_global_validator()
+def validate_distributions(_, distrs):
+    """Validate distributions."""
+    validate_neuron_distribs(distrs)
+
+
 @register_validator("tmd", "tmd_apical", "tmd_gradient")
 def check_bar_length(params, distrs):
     """Check consistency between parameters and persistence diagram."""
@@ -53,3 +69,28 @@ def check_bar_length(params, distrs):
             "'growth_method' entry in parameters is in ['tmd', 'tmd_apical', 'tmd_gradient']."
         )
     check_min_bar_length(params, distrs)
+
+
+@register_global_validator()
+def check_metric_consistency(params, distrs):
+    """Check consistency between metric parameters and distributions values."""
+    for tree_type in params["grow_types"]:
+        metric1 = params[tree_type].get("metric")
+        metric2 = distrs[tree_type].get("filtration_metric")
+        if metric1 not in ["trunk_length", metric2]:
+            raise ValueError(
+                "Metric of parameters and distributions is inconsistent:"
+                + f" {metric1} != {metric2}"
+            )
+
+
+@register_global_validator()
+def check_diameter_consistency(params, distrs):
+    """Check consistency between diameter parameters and distributions values."""
+    method1 = params["diameter_params"]["method"]
+    method2 = distrs["diameter"]["method"]
+    if method1 != method2:
+        raise ValueError(
+            "Diameters methods of parameters and distributions is inconsistent:"
+            + f" {method1} != {method2}"
+        )
diff --git a/neurots/schemas/distributions.json b/neurots/schemas/distributions.json
index 1f3075e8..5bff4f48 100644
--- a/neurots/schemas/distributions.json
+++ b/neurots/schemas/distributions.json
@@ -24,11 +24,16 @@
                             "type": "array"
                         }
                     },
-                    "required": ["bins", "weights"],
+                    "required": [
+                        "bins",
+                        "weights"
+                    ],
                     "type": "object"
                 }
             },
-            "required": ["data"],
+            "required": [
+                "data"
+            ],
             "title": "Data distribution",
             "type": "object"
         },
@@ -38,6 +43,44 @@
             "title": "Empty distribution",
             "type": "object"
         },
+        "neurite_diameter": {
+            "additionalProperties": false,
+            "description": "The diameter distributions of a type of neurite",
+            "properties": {
+                "Rall_ratio": {
+                    "type": "number"
+                },
+                "siblings_ratio": {
+                    "type": "number"
+                },
+                "taper": {
+                    "items": {
+                        "type": "number"
+                    },
+                    "type": "array"
+                },
+                "term": {
+                    "items": {
+                        "type": "number"
+                    },
+                    "type": "array"
+                },
+                "trunk": {
+                    "items": {
+                        "type": "number"
+                    },
+                    "type": "array"
+                },
+                "trunk_taper": {
+                    "items": {
+                        "type": "number"
+                    },
+                    "type": "array"
+                }
+            },
+            "title": "Neurite diameter distribution",
+            "type": "object"
+        },
         "neurite_distrib": {
             "additionalProperties": false,
             "description": "The distributions of a type of neurite",
@@ -104,6 +147,14 @@
                                 "orientation_deviation": {
                                     "$ref": "#/definitions/data_distr",
                                     "description": "The data distribution used for the orientation deviation"
+                                },
+                                "pia_3d_angles": {
+                                    "$ref": "#/definitions/data_distr",
+                                    "description": "The data distribution used for the 3d angles wrt pia direction"
+                                },
+                                "apical_3d_angles": {
+                                    "$ref": "#/definitions/data_distr",
+                                    "description": "The data distribution used for the 3d angles wrt apical direction"
                                 }
                             },
                             "required": [
@@ -121,44 +172,6 @@
             ],
             "title": "Neurite distribution",
             "type": "object"
-        },
-        "neurite_diameter": {
-            "additionalProperties": false,
-            "description": "The diameter distributions of a type of neurite",
-            "properties": {
-                "Rall_ratio": {
-                    "type": "number"
-                },
-                "siblings_ratio": {
-                    "type": "number"
-                },
-                "taper": {
-                    "items": {
-                        "type": "number"
-                    },
-                    "type": "array"
-                },
-                "term": {
-                    "items": {
-                        "type": "number"
-                    },
-                    "type": "array"
-                },
-                "trunk": {
-                    "items": {
-                        "type": "number"
-                    },
-                    "type": "array"
-                },
-                "trunk_taper": {
-                    "items": {
-                        "type": "number"
-                    },
-                    "type": "array"
-                }
-            },
-            "title": "Neurite diameter distribution",
-            "type": "object"
         }
     },
     "properties": {
@@ -206,6 +219,15 @@
                 {
                     "additionalProperties": false,
                     "properties": {
+                        "apical": {
+                            "$ref": "#/definitions/neurite_diameter"
+                        },
+                        "axon": {
+                            "$ref": "#/definitions/neurite_diameter"
+                        },
+                        "basal": {
+                            "$ref": "#/definitions/neurite_diameter"
+                        },
                         "method": {
                             "not": {
                                 "enum": [
diff --git a/neurots/schemas/parameters.json b/neurots/schemas/parameters.json
index f48230c5..56026988 100644
--- a/neurots/schemas/parameters.json
+++ b/neurots/schemas/parameters.json
@@ -117,6 +117,67 @@
                                             },
                                             "additionalProperties": false,
                                             "required": ["primary_orientation"]
+                                        },
+                                        {
+                                            "type": "object",
+                                            "properties": {
+                                                "direction": {
+                                                    "type": "object",
+                                                    "properties": {
+                                                        "mean": {
+                                                            "oneOf": [
+                                                                {
+                                                                    "type": "number",
+                                                                    "minimum": 0,
+                                                                    "maximum": 3.1416
+                                                                },
+                                                                {
+                                                                    "type": "array",
+                                                                    "items": {
+                                                                        "type": "number",
+                                                                        "minimum": 0,
+                                                                        "maximum": 3.1416
+                                                                    }
+                                                                }
+                                                            ]
+                                                        },
+                                                        "std":{
+                                                            "oneOf": [
+                                                                {
+                                                                    "type": "number",
+                                                                    "minimum": 0
+                                                                },
+                                                                {
+                                                                    "type": "array",
+                                                                    "items": {
+                                                                        "type": "number",
+                                                                        "minimum": 0
+                                                                    }
+                                                                }
+                                                            ]
+                                                        }
+                                                    }
+                                                }
+                                            },
+                                            "additionalProperties": false,
+                                            "required": ["direction"]
+                                        },
+                                        {
+                                            "type": "object",
+                                            "properties": {
+                                                "form": {
+                                                    "description": "Form of the 3d angle fit",
+                                                    "type": "string"
+                                                },
+                                                "params": {
+                                                    "items": {
+                                                        "description": "The fit parameters"
+                                                    },
+                                                    "type": "array"
+                                                }
+                                            },
+                                            "additionalProperties": false,
+                                            "required": ["form", "params"]
                                         }
                                     ]
                                 }
diff --git a/neurots/utils.py b/neurots/utils.py
index 40abc4c7..9d48aed8 100644
--- a/neurots/utils.py
+++ b/neurots/utils.py
@@ -20,6 +20,8 @@
 
 import numpy as np
 
+PIA_DIRECTION = [0.0, 1.0, 0.0]
+
 
 class NeuroTSError(Exception):
     """Raises NeuroTS error."""
diff --git a/setup.py b/setup.py
index 9f1428a3..17ae4fa6 100644
--- a/setup.py
+++ b/setup.py
@@ -25,7 +25,7 @@
     "matplotlib>=3.2.1",
     "morphio>=3.3.3,<4.0",
     "neurom>=3.0,<4.0",
-    "numpy>=1.20.0",
+    "numpy>=1.21.0",
     "scipy>=1.6",
     "tmd>=2.2.0",
     "diameter-synthesis>=0.5.2",
diff --git a/tests/astrocyte/test_tree.py b/tests/astrocyte/test_tree.py
index e4decfb6..a66a457a 100644
--- a/tests/astrocyte/test_tree.py
+++ b/tests/astrocyte/test_tree.py
@@ -35,7 +35,6 @@ def test_tree_grower_space_colonization_constructor():
 
     grower_distributions = _distributions()
     grower_parameters = _parameters()
-    skip_validation = False
     grower_context = SpaceColonizationContext(_context())
     tree_parameters = grower_parameters["basal"]
     tree_parameters["origin"] = np.zeros(3)
@@ -47,7 +46,6 @@ def test_tree_grower_space_colonization_constructor():
         initial_point,
         tree_parameters,
         tree_distributions,
-        skip_validation,
         grower_context,
     )
 
@@ -65,7 +63,6 @@ def test_tree_grower_space_colonization_constructor():
         initial_point,
         tree_parameters,
         tree_distributions,
-        skip_validation,
         grower_context,
     )
     assert isinstance(tree_grower.active_sections[0], SectionSpatialGrower)
diff --git a/tests/data/bio_distribution_3d_angles.json b/tests/data/bio_distribution_3d_angles.json
new file mode 100644
index 00000000..1e7468c7
--- /dev/null
+++ b/tests/data/bio_distribution_3d_angles.json
@@ -0,0 +1,34953 @@
+{
+    "apical_dendrite": {
+        "filtration_metric": "path_distances",
+        "min_bar_length": 1.382211685180664,
+        "num_trees": {
+            "data": {
+                "bins": [
+                    1
+                ],
+                "weights": [
+                    43
+                ]
+            }
+        },
+        "persistence_diagram": [
+            [
+                [
+                    825.540979206562,
+                    821.2374203801155,
+                    0.6598739624023438,
+                    -2.1130030155181885,
+                    -4.785074710845947,
+                    0.3694266676902771
+                ],
+                [
+                    829.4924028515816,
+                    826.3243299126625,
+                    1.3547110557556152,
+                    -1.7139418125152588,
+                    -3.0562002658843994,
+                    1.5582191944122314
+                ],
+                [
+                    886.5750770568848,
+                    879.9530692100525,
+                    -2.73563814163208,
+                    0.4683419466018677,
+                    -0.9773828983306885,
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+                    0.24813449382781982,
+                    0.8739858269691467,
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+                    0.012301504611968994,
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+                    -0.6673918962478638
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+                    0,
+                    NaN,
+                    NaN,
+                    NaN,
+                    NaN
+                ]
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+            [
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+                    0.46881580352783203,
+                    0.6193728446960449,
+                    4.995975494384766,
+                    -0.3635439872741699
+                ],
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+                    0.12425792217254639,
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+                    -1.3560048341751099,
+                    0.9922161102294922
+                ],
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+                    35.52977433800697,
+                    1.1378774642944336,
+                    0.28668212890625,
+                    -2.328679084777832,
+                    -0.7953696250915527
+                ],
+                [
+                    124.5145492553711,
+                    5.614762961864471,
+                    0.09705805778503418,
+                    -0.5384089946746826,
+                    2.5012996196746826,
+                    0.38283705711364746
+                ],
+                [
+                    128.59540858864784,
+                    0,
+                    NaN,
+                    NaN,
+                    NaN,
+                    NaN
+                ]
+            ],
+            [
+                [
+                    121.28883981704712,
+                    50.92938566207886,
+                    0.3298377990722656,
+                    0.4624290466308594,
+                    5.33173942565918,
+                    -0.31145477294921875
+                ],
+                [
+                    127.22995814681053,
+                    32.01407474279404,
+                    -5.87278413772583,
+                    -1.339463233947754,
+                    -0.03869962692260742,
+                    1.5122945308685303
+                ],
+                [
+                    129.90314692258835,
+                    14.727797210216522,
+                    0.20049619674682617,
+                    0.5704835653305054,
+                    5.566249847412109,
+                    0.060537099838256836
+                ],
+                [
+                    151.3474107682705,
+                    0,
+                    NaN,
+                    NaN,
+                    NaN,
+                    NaN
+                ]
+            ]
+        ],
+        "trunk": {
+            "absolute_elevation_deviation": {
+                "data": {
+                    "bins": [
+                        -1.5008621558908848,
+                        -1.4122763746231548,
+                        -1.3236905933554248,
+                        -1.235104812087695,
+                        -1.1465190308199653,
+                        -1.057933249552235,
+                        -0.9693474682845054,
+                        -0.8807616870167756,
+                        -0.7921759057490456,
+                        -0.7035901244813159,
+                        -0.6150043432135859,
+                        -0.526418561945856,
+                        -0.43783278067812614,
+                        -0.3492469994103963,
+                        -0.2606612181426664,
+                        -0.17207543687493654,
+                        -0.08348965560720656,
+                        0.00509612566052331,
+                        0.09368190692825318,
+                        0.18226768819598305,
+                        0.2708534694637129,
+                        0.3594392507314428,
+                        0.44802503199917254,
+                        0.5366108132669025,
+                        0.6251965945346325,
+                        0.7137823758023623,
+                        0.8023681570700922,
+                        0.8909539383378222,
+                        0.979539719605552,
+                        1.0681255008732817
+                    ],
+                    "weights": [
+                        2,
+                        0,
+                        9,
+                        9,
+                        13,
+                        12,
+                        7,
+                        19,
+                        10,
+                        22,
+                        17,
+                        25,
+                        17,
+                        24,
+                        13,
+                        15,
+                        11,
+                        14,
+                        15,
+                        6,
+                        11,
+                        4,
+                        3,
+                        6,
+                        5,
+                        1,
+                        1,
+                        0,
+                        3,
+                        4
+                    ]
+                }
+            },
+            "apical_3d_angles": {
+                "data": {
+                    "bins": [
+                        0.23511037576882976,
+                        0.33171631308976435,
+                        0.42832225041069893,
+                        0.5249281877316336,
+                        0.6215341250525681,
+                        0.7181400623735028,
+                        0.8147459996944373,
+                        0.911351937015372,
+                        1.0079578743363067,
+                        1.1045638116572412,
+                        1.2011697489781756,
+                        1.2977756862991106,
+                        1.394381623620045,
+                        1.4909875609409795,
+                        1.5875934982619142,
+                        1.684199435582849,
+                        1.7808053729037834,
+                        1.877411310224718,
+                        1.9740172475456526,
+                        2.0706231848665873,
+                        2.1672291221875217,
+                        2.263835059508456,
+                        2.360440996829391,
+                        2.4570469341503256,
+                        2.55365287147126,
+                        2.650258808792195,
+                        2.7468647461131295,
+                        2.843470683434064,
+                        2.940076620754999,
+                        3.036682558075933
+                    ],
+                    "weights": [
+                        0.03473600889393153,
+                        0.034736008893931546,
+                        0.034736008893931525,
+                        0.06947201778786309,
+                        0.06947201778786309,
+                        0.034736008893931546,
+                        0.06947201778786309,
+                        0.1736800444696577,
+                        0.10420802668179452,
+                        0.06947201778786316,
+                        0.1736800444696575,
+                        0.38209609783324655,
+                        0.48630412451504224,
+                        0.4168321067271781,
+                        0.27788807115145264,
+                        0.6599841689846986,
+                        0.7989282045604246,
+                        0.6599841689847001,
+                        0.7641921956664949,
+                        0.5210401334089738,
+                        0.6947201778786285,
+                        0.6947201778786317,
+                        0.6947201778786317,
+                        0.7641921956664914,
+                        0.5210401334089738,
+                        0.17368004446965793,
+                        0.31262408004538284,
+                        0.24315206225752112,
+                        0.27788807115145264,
+                        0.13894403557572632
+                    ]
+                }
+            },
+            "azimuth": {
+                "uniform": {
+                    "max": 0.0,
+                    "min": 3.141592653589793
+                }
+            },
+            "orientation_deviation": {
+                "data": {
+                    "bins": [
+                        0.05224963796121511,
+                        0.1567489138836453,
+                        0.26124818980607556,
+                        0.36574746572850575,
+                        0.470246741650936,
+                        0.5747460175733662,
+                        0.6792452934957964,
+                        0.7837445694182266,
+                        0.8882438453406569,
+                        0.9927431212630871,
+                        1.0972423971855174,
+                        1.2017416731079473,
+                        1.3062409490303777,
+                        1.410740224952808,
+                        1.5152395008752382,
+                        1.6197387767976683,
+                        1.7242380527200987,
+                        1.8287373286425288,
+                        1.933236604564959,
+                        2.0377358804873893,
+                        2.1422351564098197,
+                        2.2467344323322496,
+                        2.35123370825468,
+                        2.45573298417711,
+                        2.56023226009954,
+                        2.6647315360219705,
+                        2.769230811944401,
+                        2.8737300878668313,
+                        2.978229363789261,
+                        3.0827286397116915
+                    ],
+                    "weights": [
+                        38,
+                        27,
+                        31,
+                        28,
+                        33,
+                        16,
+                        11,
+                        11,
+                        15,
+                        8,
+                        7,
+                        5,
+                        4,
+                        5,
+                        2,
+                        4,
+                        7,
+                        2,
+                        7,
+                        4,
+                        3,
+                        1,
+                        1,
+                        4,
+                        3,
+                        4,
+                        3,
+                        8,
+                        1,
+                        5
+                    ]
+                }
+            },
+            "pia_3d_angles": {
+                "data": {
+                    "bins": [
+                        0.5026708259216146,
+                        0.5912566071893446,
+                        0.6798423884570745,
+                        0.7684281697248043,
+                        0.8570139509925342,
+                        0.9455997322602642,
+                        1.034185513527994,
+                        1.122771294795724,
+                        1.2113570760634538,
+                        1.2999428573311835,
+                        1.3885286385989137,
+                        1.4771144198666435,
+                        1.5657002011343735,
+                        1.6542859824021034,
+                        1.7428717636698332,
+                        1.831457544937563,
+                        1.9200433262052932,
+                        2.008629107473023,
+                        2.0972148887407527,
+                        2.1858006700084824,
+                        2.2743864512762126,
+                        2.3629722325439424,
+                        2.451558013811672,
+                        2.540143795079402,
+                        2.628729576347132,
+                        2.717315357614862,
+                        2.8059011388825916,
+                        2.894486920150322,
+                        2.9830727014180516,
+                        3.0716584826857813
+                    ],
+                    "weights": [
+                        0.15152340025516015,
+                        0.11364255019137018,
+                        0.0,
+                        0.037880850063790106,
+                        0.037880850063790016,
+                        0.18940425031895006,
+                        0.22728510038274063,
+                        0.11364255019137004,
+                        0.15152340025516042,
+                        0.41668935070169016,
+                        0.22728510038274008,
+                        0.5682127509568502,
+                        0.5303319008930615,
+                        0.41668935070169016,
+                        0.5682127509568516,
+                        0.4924510508292702,
+                        0.9091404015309603,
+                        0.6439744510844317,
+                        0.9470212515947526,
+                        0.6439744510844317,
+                        0.8333787014033782,
+                        0.37880850063790106,
+                        0.719736151212012,
+                        0.2651659504465294,
+                        0.45457020076548127,
+                        0.49245105082927143,
+                        0.34092765057411095,
+                        0.34092765057410923,
+                        0.0,
+                        0.07576170012758021
+                    ]
+                }
+            }
+        }
+    },
+    "diameter": {
+        "method": "default"
+    },
+    "soma": {
+        "size": {
+            "norm": {
+                "mean": 8.308989524841309,
+                "std": 1.3607981204986572
+            }
+        }
+    }
+}
diff --git a/tests/data/bio_parameters_3d_angles.json b/tests/data/bio_parameters_3d_angles.json
new file mode 100644
index 00000000..cc85b0b7
--- /dev/null
+++ b/tests/data/bio_parameters_3d_angles.json
@@ -0,0 +1,67 @@
+{
+    "apical_dendrite": {
+        "apical_distance": 0.0,
+        "bias": 0.5,
+        "bias_length": 0.2,
+        "branching_method": "bio_oriented",
+        "growth_method": "tmd_gradient",
+        "has_apical_tuft": true,
+        "metric": "path_distances",
+        "modify": null,
+        "orientation": {
+            "mode": "normal_pia_constraint",
+            "values": {
+                "direction": {
+                    "mean": [
+                        0.0
+                    ],
+                    "std": [
+                        0.0
+                    ]
+                }
+            }
+        },
+        "radius": 0.3,
+        "randomness": 0.24,
+        "step_size": {
+            "norm": {
+                "mean": 1.0,
+                "std": 0.2
+            }
+        },
+        "targeting": 0.16,
+        "tree_type": 4
+    },
+    "axon": {},
+    "basal_dendrite": {
+        "branching_method": "bio_oriented",
+        "growth_method": "tmd",
+        "metric": "path_distances",
+        "modify": null,
+        "orientation": {
+            "mode": "pia_constraint"
+        },
+        "radius": 0.3,
+        "randomness": 0.24,
+        "step_size": {
+            "norm": {
+                "mean": 1.0,
+                "std": 0.2
+            }
+        },
+        "targeting": 0.16,
+        "tree_type": 3
+    },
+    "diameter_params": {
+        "method": "default"
+    },
+    "grow_types": [
+        "apical_dendrite",
+        "basal_dendrite"
+    ],
+    "origin": [
+        0.0,
+        0.0,
+        0.0
+    ]
+}
diff --git a/tests/test_extract_input.py b/tests/test_extract_input.py
index a0baae68..55c85726 100644
--- a/tests/test_extract_input.py
+++ b/tests/test_extract_input.py
@@ -17,6 +17,7 @@
 
 # pylint: disable=missing-function-docstring
 # pylint: disable=redefined-outer-name
+# pylint: disable=protected-access
 import os
 
 import neurom
@@ -24,7 +25,6 @@
 import pytest
 import tmd
 from neurom import load_morphologies
-from neurom import stats
 from numpy.testing import assert_array_almost_equal
 from numpy.testing import assert_equal
 from pkg_resources import parse_version
@@ -62,7 +62,7 @@ def test_num_trees(POPUL):
     assert_equal(numAX, target_numAX)
 
 
-def test_trunk_distr(POPUL):
+def test_trunk_distr(POPUL, NEU):
     bins_BAS = [
         0.19391773616376634,
         0.4880704446023673,
@@ -100,6 +100,38 @@ def test_trunk_distr(POPUL):
             "azimuth": {"uniform": {"max": 0.0, "min": np.pi}},
             "orientation_deviation": {"data": {"weights": [4, 3, 1, 2, 0, 1, 0, 0, 0, 2]}},
             "absolute_elevation_deviation": absolute_elevation_deviation_BAS,
+            "pia_3d_angles": {
+                "data": {
+                    "weights": [
+                        1.2274214110745432,
+                        0.6137107055372726,
+                        0.6137107055372716,
+                        0.6137107055372716,
+                        1.2274214110745432,
+                        0.6137107055372716,
+                        1.841132116611821,
+                        0.0,
+                        0.0,
+                        1.2274214110745432,
+                    ]
+                }
+            },
+            "apical_3d_angles": {
+                "data": {
+                    "weights": [
+                        1.0248077967009541,
+                        0.0,
+                        1.0248077967009541,
+                        2.0496155934019082,
+                        0.5124038983504771,
+                        1.0248077967009541,
+                        0.0,
+                        0.0,
+                        0.5124038983504771,
+                        0.5124038983504771,
+                    ]
+                }
+            },
         }
     }
     target_trunkAPIC = {
@@ -107,6 +139,7 @@ def test_trunk_distr(POPUL):
             "azimuth": {"uniform": {"max": 0.0, "min": np.pi}},
             "orientation_deviation": {"data": {"bins": [0.0], "weights": [2]}},
             "absolute_elevation_deviation": {"data": {"weights": [2]}},
+            "pia_3d_angles": {"data": {"weights": [8.9044]}},
         }
     }
 
@@ -114,6 +147,8 @@ def test_trunk_distr(POPUL):
         POPUL, neurite_type=neurom.APICAL_DENDRITE, bins=1
     )
     trunkBAS = extract_input.from_neurom.trunk_neurite(POPUL, bins=10)
+    trunkNEU = extract_input.from_neurom.trunk_neurite(NEU, bins=10)
+    assert "apical_3d_angles" not in trunkNEU
 
     assert_array_almost_equal(trunkBAS["trunk"]["orientation_deviation"]["data"]["bins"], bins_BAS)
     assert_array_almost_equal(
@@ -126,9 +161,16 @@ def test_trunk_distr(POPUL):
     )
     del trunkBAS["trunk"]["orientation_deviation"]["data"]["bins"]
     del trunkBAS["trunk"]["absolute_elevation_deviation"]["data"]["bins"]
+    del trunkBAS["trunk"]["pia_3d_angles"]["data"]["bins"]
+    del trunkBAS["trunk"]["apical_3d_angles"]["data"]["bins"]
     del trunkAP["trunk"]["absolute_elevation_deviation"]["data"]["bins"]
+    del trunkAP["trunk"]["pia_3d_angles"]["data"]["bins"]
 
     assert_equal(trunkBAS, target_trunkBAS)
+    # this value is slightly unstable with python versions
+    trunkAP["trunk"]["pia_3d_angles"]["data"]["weights"][0] = np.around(
+        trunkAP["trunk"]["pia_3d_angles"]["data"]["weights"][0], 4
+    )
     assert_equal(trunkAP, target_trunkAPIC)
 
 
@@ -337,24 +379,6 @@ def diam_method(pop):
         assert distr_external == distr_external_input
 
 
-def test_transform_distr():
-    ss = stats.fit([1, 2], distribution="norm")
-    tss = extract_input.from_neurom.transform_distr(ss)
-    assert_equal(tss, {"norm": {"mean": 1.5, "std": 0.5}})
-
-    ss = stats.fit([1, 2], distribution="uniform")
-    tss = extract_input.from_neurom.transform_distr(ss)
-    assert_equal(tss, {"uniform": {"min": 1, "max": 2}})
-
-    ss = stats.fit([1, 2], distribution="expon")
-    tss = extract_input.from_neurom.transform_distr(ss)
-    assert_equal(tss, {"expon": {"loc": 1.0, "lambda": 2.0}})
-
-    ss = stats.fit([1, 2], distribution="gamma")
-    tss = extract_input.from_neurom.transform_distr(ss)
-    assert_equal(tss, None)
-
-
 def test_number_neurites(POPUL):
     res = extract_input.from_neurom.number_neurites(POPUL)
     assert_equal(
@@ -608,6 +632,54 @@ def test_parameters():
             diameter_parameters=object(),
         )
 
+    params = extract_input.parameters(neurite_types=["basal_dendrite", "apical_dendrite"])
+    assert_equal(
+        params,
+        {
+            "basal_dendrite": {
+                "randomness": 0.24,
+                "targeting": 0.14,
+                "radius": 0.3,
+                "orientation": None,
+                "growth_method": "tmd",
+                "branching_method": "bio_oriented",
+                "modify": None,
+                "step_size": {"norm": {"mean": 1.0, "std": 0.2}},
+                "metric": "path_distances",
+                "tree_type": 3,
+            },
+            "apical_dendrite": {
+                "randomness": 0.24,
+                "targeting": 0.14,
+                "radius": 0.3,
+                "orientation": [[0.0, 1.0, 0.0]],
+                "growth_method": "tmd_apical",
+                "branching_method": "directional",
+                "modify": None,
+                "step_size": {"norm": {"mean": 1.0, "std": 0.2}},
+                "metric": "path_distances",
+                "tree_type": 4,
+            },
+            "axon": {},
+            "origin": [0.0, 0.0, 0.0],
+            "grow_types": ["basal_dendrite", "apical_dendrite"],
+            "diameter_params": {"method": "default", "models": ["simpler"]},
+        },
+    )
+    validator.validate_neuron_params(params_path)
+
+    extract_input.parameters(
+        neurite_types=["axon"],
+        method="trunk",
+        diameter_parameters={"some_external_diametrizer": None},
+    )
+
+    extract_input.parameters(
+        neurite_types=["axon"],
+        method="trunk",
+        diameter_parameters="some_diametrizer",
+    )
+
 
 def test_from_TMD():
     files = sorted([os.path.join(POP_PATH, neuron_dir) for neuron_dir in os.listdir(POP_PATH)])
@@ -711,3 +783,78 @@ def test_from_TMD():
     for a, b in zip(angles["persistence_diagram"], expected):
         for ai, bi in zip(a, b):
             assert_array_almost_equal(ai, bi, decimal=6 if not _OLD_NUMPY else 5)
+
+
+def test_trunk_neurite_3d_angles(POPUL):
+    all_angles = extract_input.from_neurom.trunk_neurite(POPUL, neurom.APICAL_DENDRITE, bins=10)
+    angles = extract_input.from_neurom.trunk_neurite_3d_angles(
+        POPUL, neurom.APICAL_DENDRITE, bins=10
+    )
+
+    assert all_angles["trunk"]["pia_3d_angles"] == angles["trunk"]["pia_3d_angles"]
+    assert_array_almost_equal(
+        angles["trunk"]["pia_3d_angles"]["data"]["bins"],
+        [
+            0.4828722567123299,
+            0.49410265776120743,
+            0.5053330588100851,
+            0.5165634598589626,
+            0.5277938609078402,
+            0.5390242619567178,
+            0.5502546630055953,
+            0.5614850640544728,
+            0.5727154651033505,
+            0.5839458661522281,
+        ],
+    )
+    assert_array_almost_equal(
+        angles["trunk"]["pia_3d_angles"]["data"]["weights"],
+        [44.52200752438604, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 44.52200752438582],
+    )
+
+    angles = extract_input.from_neurom.trunk_neurite(POPUL, neurom.BASAL_DENDRITE, bins=10)
+    assert angles["trunk"]["pia_3d_angles"] == {
+        "data": {
+            "bins": [
+                1.2145526099759574,
+                1.3398935503066864,
+                1.4652344906374157,
+                1.590575430968145,
+                1.7159163712988743,
+                1.8412573116296036,
+                1.9665982519603327,
+                2.0919391922910617,
+                2.217280132621791,
+                2.3426210729525203,
+            ],
+            "weights": [
+                1.2274214110745432,
+                0.6137107055372726,
+                0.6137107055372716,
+                0.6137107055372716,
+                1.2274214110745432,
+                0.6137107055372716,
+                1.841132116611821,
+                0.0,
+                0.0,
+                1.2274214110745432,
+            ],
+        }
+    }
+
+
+def test_transform_distr():
+    np.random.seed(42)
+    data = np.random.uniform(0, 1, 100)
+
+    ss = neurom.stats.fit(data, distribution="norm")
+    res = extract_input.from_neurom.transform_distr(ss)
+    assert_equal(res, {"norm": {"mean": 0.47018074337820936, "std": 0.29599822663249037}})
+
+    ss = neurom.stats.fit(data, distribution="uniform")
+    res = extract_input.from_neurom.transform_distr(ss)
+    assert_equal(res, {"uniform": {"min": 0.005522117123602399, "max": 0.9868869366005173}})
+
+    ss = neurom.stats.fit(data, distribution="expon")
+    res = extract_input.from_neurom.transform_distr(ss)
+    assert_equal(res, {"expon": {"loc": 0.005522117123602399, "lambda": 2.1521175837421254}})
diff --git a/tests/test_generate_tree.py b/tests/test_generate_tree.py
index ae5af672..385a041b 100644
--- a/tests/test_generate_tree.py
+++ b/tests/test_generate_tree.py
@@ -86,3 +86,26 @@ def test_TreeGrower():
             i,
             sections[len(sections) - num - 1],
         )
+
+
+def test_TreeGrower_3d_angles():
+    np.random.seed(0)
+    with open(os.path.join(_path, "bio_distribution_3d_angles.json"), encoding="utf-8") as f:
+        distributions = json.load(f)
+
+    with open(os.path.join(_path, "bio_parameters_3d_angles.json"), encoding="utf-8") as f:
+        params = json.load(f)
+
+    grower = NeuronGrower(input_distributions=distributions, input_parameters=params)
+    grower._grow_soma()
+
+    # Test order_per_process()
+    sections = [i.active_sections[0] for i in grower.active_neurites]
+    for num, i in enumerate(sections):
+        i.process = str(len(sections) - num - 1)
+    res = TreeGrower.order_per_process(sections)
+    for num, i in enumerate(res):
+        assert i == sections[len(sections) - num - 1], (
+            i,
+            sections[len(sections) - num - 1],
+        )
diff --git a/tests/test_neuron_functional.py b/tests/test_neuron_functional.py
index 11a61e0b..36e1923c 100644
--- a/tests/test_neuron_functional.py
+++ b/tests/test_neuron_functional.py
@@ -42,6 +42,7 @@
 
 from neurots.generate.diametrizer import diametrize_constant_per_neurite
 from neurots.generate.grower import NeuronGrower
+from neurots.preprocess.exceptions import NeuroTSValidationError
 
 _path = os.path.join(os.path.dirname(os.path.abspath(__file__)), "data")
 
@@ -81,7 +82,7 @@ def _test_full(
     ref_persistence_diagram,
     save=False,
     rng_or_seed=None,
-    skip_validation=False,
+    skip_preprocessing=False,
 ):
     distributions, params = _load_inputs(join(_path, distributions), join(_path, parameters))
     if rng_or_seed is None:
@@ -89,14 +90,14 @@ def _test_full(
         n = NeuronGrower(
             input_distributions=distributions,
             input_parameters=params,
-            skip_validation=skip_validation,
+            skip_preprocessing=skip_preprocessing,
         ).grow()
     else:
         n = NeuronGrower(
             input_distributions=distributions,
             input_parameters=params,
             rng_or_seed=rng_or_seed,
-            skip_validation=skip_validation,
+            skip_preprocessing=skip_preprocessing,
         ).grow()
 
     with TemporaryDirectory("test_grower") as folder:
@@ -341,7 +342,7 @@ def test_axon_grower():
         "axon_trunk_parameters_orientation_manager.json",
         "test_axon_grower.h5",
         None,
-        skip_validation=True,
+        skip_preprocessing=True,
     )
     _test_full(
         "radial_distances",
@@ -350,7 +351,7 @@ def test_axon_grower():
         "test_axon_grower.h5",
         None,
         rng_or_seed=build_random_generator(0),
-        skip_validation=True,
+        skip_preprocessing=True,
     )
 
     _test_full(
@@ -374,7 +375,7 @@ def test_axon_grower():
         "axon_trunk_parameters_absolute_orientation_manager.json",
         "test_axon_grower_absolute.h5",
         None,
-        skip_validation=True,
+        skip_preprocessing=True,
     )
     _test_full(
         "radial_distances",
@@ -383,7 +384,7 @@ def test_axon_grower():
         "test_axon_grower_absolute.h5",
         None,
         rng_or_seed=build_random_generator(0),
-        skip_validation=True,
+        skip_preprocessing=True,
     )
 
 
@@ -458,24 +459,24 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_distribution.json",
             "bio_path_params_orientation_manager.json",
             "path_grower.h5",
             "bio_path_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_distribution.json",
             "bio_path_params_orientation_manager.json",
             "path_grower.h5",
             "bio_path_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
 
@@ -489,7 +490,7 @@ def test_min_bar_length_missing(self, tmpdir):
             json.dump(distributions, f)
 
         with pytest.raises(
-            KeyError,
+            NeuroTSValidationError,
             match="'min_bar_length'",
         ):
             _test_full(
@@ -523,24 +524,24 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_distribution.json",
             "bio_gradient_path_params_orientation_manager.json",
             "gradient_path_grower.h5",
             "gradient_path_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_distribution.json",
             "bio_gradient_path_params_orientation_manager.json",
             "gradient_path_grower.h5",
             "gradient_path_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
 
@@ -565,24 +566,24 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params1_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params1.h5",
             "expected_bio_rat_L5_TPC_B_with_params1_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params1_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params1.h5",
             "expected_bio_rat_L5_TPC_B_with_params1_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
 
@@ -607,24 +608,24 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params2_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params2.h5",
             "expected_bio_rat_L5_TPC_B_with_params2_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params2_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params2.h5",
             "expected_bio_rat_L5_TPC_B_with_params2_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
 
@@ -649,24 +650,24 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params3_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params3.h5",
             "expected_bio_rat_L5_TPC_B_with_params3_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params3_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params3.h5",
             "expected_bio_rat_L5_TPC_B_with_params3_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
 
@@ -691,23 +692,23 @@ def test_with_rng(self):
             rng_or_seed=build_random_generator(0),
         )
 
-    def test_skip_validation(self):
+    def test_skip_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params4_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params4.h5",
             "expected_bio_rat_L5_TPC_B_with_params4_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
         )
 
-    def test_skip_rng_and_validation(self):
+    def test_skip_rng_and_preprocessing(self):
         _test_full(
             "path_distances",
             "bio_rat_L5_TPC_B_distribution.json",
             "params4_orientation_manager.json",
             "expected_bio_rat_L5_TPC_B_with_params4.h5",
             "expected_bio_rat_L5_TPC_B_with_params4_persistence_diagram.json",
-            skip_validation=True,
+            skip_preprocessing=True,
             rng_or_seed=build_random_generator(0),
         )
diff --git a/tests/test_orientations.py b/tests/test_orientations.py
index 838a597b..5a70265e 100644
--- a/tests/test_orientations.py
+++ b/tests/test_orientations.py
@@ -295,3 +295,317 @@ def test_orientations_to_sphere_points():
         tested.orientations_to_sphere_points(oris, sphere_center, sphere_radius),
         expected_points,
     )
+
+
+def test_orientation_manager__mode_uniform():
+    parameters = {
+        "grow_types": ["basal_dendrite"],
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "uniform",
+                "values": {},
+            }
+        },
+    }
+
+    distributions = {
+        "basal_dendrite": {
+            "num_trees": {
+                "data": {"bins": [2], "weights": [1]},
+            }
+        }
+    }
+
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+
+    actual = om.get_tree_type_orientations("basal_dendrite")
+    expected = np.array([[-0.199474, 0.967017, 0.158396], [-0.368063, 0.248455, 0.895991]])
+
+    npt.assert_allclose(actual, expected, rtol=1e-5)
+
+
+def test_orientation_manager__mode_normal_pia_constraint():
+    """Test mode normal_pia_constraint."""
+    # make one near pia
+    parameters = {
+        "grow_types": ["apical_dendrite"],
+        "apical_dendrite": {
+            "orientation": {
+                "mode": "normal_pia_constraint",
+                "values": {"direction": {"mean": 0, "std": 0.1}},
+            }
+        },
+    }
+
+    distributions = {
+        "apical_dendrite": {
+            "num_trees": {
+                "data": {"bins": [1], "weights": [1]},
+            }
+        }
+    }
+
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+
+    actual = om.get_tree_type_orientations("apical_dendrite")
+    expected = np.array([[-0.0084249, 0.99768935, 0.06741643]])
+    npt.assert_allclose(actual, expected, rtol=1e-5)
+
+    # make one along pia
+    parameters["apical_dendrite"]["orientation"]["values"]["direction"] = {"mean": 0.0, "std": 0.0}
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+
+    actual = om.get_tree_type_orientations("apical_dendrite")
+    expected = np.array([[0, 1.0, 0.0]])
+    npt.assert_allclose(actual, expected, rtol=1e-5)
+
+    # make one away from pia
+    parameters["apical_dendrite"]["orientation"]["values"]["direction"] = {"mean": 1.0, "std": 0.1}
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+
+    actual = om.get_tree_type_orientations("apical_dendrite")
+    expected = np.array([[-0.10517952, 0.52968005, 0.84165095]])
+    npt.assert_allclose(actual, expected, rtol=1e-5)
+
+
+def test_orientation_manager__pia_constraint():
+    parameters = {
+        "grow_types": ["basal_dendrite"],
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "pia_constraint",
+                "values": {"form": "step", "params": [1.5, 0.25]},
+            }
+        },
+    }
+
+    # params obtained from fit to an L5_TPC:A population
+    distributions = {
+        "basal_dendrite": {
+            "num_trees": {
+                "data": {"bins": [2], "weights": [1]},
+            },
+        }
+    }
+
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+
+    actual = om.get_tree_type_orientations("basal_dendrite")
+    expected = np.array([[-0.896702, -0.441664, 0.029284], [-0.14969, -0.852409, -0.500992]])
+
+    npt.assert_allclose(actual, expected, rtol=2e-5)
+
+
+def test_check_3d_angles():
+    parameters = {
+        "grow_types": ["apical_dendrite", "basal_dendrite"],
+        "apical_dendrite": {
+            "orientation": {
+                "mode": "pia_constraint",
+                "values": {"orientations": [[0.0, 1.0, 0.0]]},
+            }
+        },
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "apical_constraint",
+                "values": {"form": "step", "params": [1.5, 0.25]},
+            }
+        },
+    }
+    assert tested.check_3d_angles(parameters)
+    parameters["apical_dendrite"]["orientation"] = None
+    with pytest.raises(NeuroTSError):
+        tested.check_3d_angles(parameters)
+
+    parameters["apical_dendrite"]["orientation"] = parameters["basal_dendrite"]["orientation"]
+    parameters["basal_dendrite"]["orientation"] = None
+    with pytest.raises(NeuroTSError):
+        tested.check_3d_angles(parameters)
+
+
+def test_orientation_manager__apical_constraint():
+    parameters = {
+        "grow_types": ["apical_dendrite", "basal_dendrite"],
+        "apical_dendrite": {
+            "orientation": {
+                "mode": "use_predefined",
+                "values": {"orientations": [[0.0, 1.0, 0.0]]},
+            }
+        },
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "apical_constraint",
+                "values": {"form": "step", "params": [1.5, 0.25]},
+            }
+        },
+    }
+
+    # params obtained from fit to an L5_TPC:A population
+    distributions = {
+        "apical_dendrite": {
+            "num_trees": {
+                "data": {"bins": [1], "weights": [1]},
+            }
+        },
+        "basal_dendrite": {
+            "num_trees": {
+                "data": {"bins": [2], "weights": [1]},
+            },
+        },
+    }
+
+    om = tested.OrientationManager(
+        soma=None,
+        parameters=parameters,
+        distributions=distributions,
+        context=None,
+        rng=np.random.default_rng(seed=0),
+    )
+
+    for tree_type in parameters["grow_types"]:
+        om.compute_tree_type_orientations(tree_type)
+    tested._sample_trunk_from_3d_angle(
+        parameters, om._rng, "basal_dendrite", [0, 0, 1], max_tries=-1
+    )
+
+    actual = om.get_tree_type_orientations("basal_dendrite")
+    expected = np.array([[0.761068, 0.124662, -0.636581], [0.741505, 0.538547, -0.400171]])
+
+    npt.assert_allclose(actual, expected, rtol=2e-5)
+
+
+def test_probability_function():
+    func = tested.get_probability_function(form="flat")
+    npt.assert_equal(func(1.0), 0.8414709848078965)
+
+    func = tested.get_probability_function(form="step")
+    npt.assert_equal(func(2.1, 0.5, 5), 0.7949219421515932)
+
+    func = tested.get_probability_function(form="double_step")
+    npt.assert_equal(func(2.1, 0.5, 5, -0.5, 1), 0.5877841415613994)
+
+    func = tested.get_probability_function(form="flat", with_density=False)
+    npt.assert_equal(func(1.0), 1.0)
+
+    func = tested.get_probability_function(form="step", with_density=False)
+    npt.assert_equal(func(2.1, 0.5, 5), 0.9208912378205718)
+
+    func = tested.get_probability_function(form="double_step", with_density=False)
+    npt.assert_equal(func(2.1, 0.5, 5, -0.5, 1), 0.6809288270854589)
+
+    with pytest.raises(ValueError):
+        tested.get_probability_function(form="UNKNOWN")
+
+
+# pylint:disable=unsubscriptable-object
+def test_fit_3d_angles():
+    parameters = {
+        "grow_types": ["apical_dendrite", "basal_dendrite"],
+        "apical_dendrite": {
+            "orientation": {
+                "mode": "use_predefined",
+                "values": {"orientations": [[0.0, 1.0, 0.0]]},
+            }
+        },
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "apical_constraint",
+                "values": {},
+            }
+        },
+    }
+
+    # params obtained from fit to an L5_TPC:A population
+    distributions = {
+        "apical_dendrite": {
+            "num_trees": {
+                "data": {"bins": [1], "weights": [1]},
+            }
+        },
+        "basal_dendrite": {
+            "num_trees": {
+                "data": {"bins": [2], "weights": [1]},
+            },
+            "trunk": {
+                "apical_3d_angles": {"data": {"bins": [0, 0.5, 1], "weights": [0.2, 0.8, 0.2]}}
+            },
+        },
+    }
+    expected_params = [3.1415926535803003, 2.9065466158869935]
+
+    new_parameters = tested.fit_3d_angles(parameters, distributions)
+
+    assert new_parameters["basal_dendrite"]["orientation"]["values"]["form"] == "step"
+    npt.assert_almost_equal(
+        new_parameters["basal_dendrite"]["orientation"]["values"]["params"], expected_params
+    )
+    parameters["basal_dendrite"]["orientation"]["values"]["form"] = "step"
+    new_parameters = tested.fit_3d_angles(parameters, distributions)
+    npt.assert_almost_equal(
+        new_parameters["basal_dendrite"]["orientation"]["values"]["params"], expected_params
+    )
+
+    parameters = {
+        "grow_types": ["apical_dendrite", "basal_dendrite"],
+        "apical_dendrite": {
+            "orientation": {
+                "mode": "use_predefined",
+                "values": {"orientations": [[0.0, 1.0, 0.0]]},
+            }
+        },
+        "basal_dendrite": {
+            "orientation": {
+                "mode": "apical_constraint",
+                "values": {"form": "flat"},
+            },
+        },
+    }
+
+    new_parameters = tested.fit_3d_angles(parameters, distributions)
+    assert new_parameters["basal_dendrite"]["orientation"]["values"]["form"] == "flat"
+    assert new_parameters["basal_dendrite"]["orientation"]["values"]["params"] == []
diff --git a/tests/test_preprocess.py b/tests/test_preprocess.py
index ab09a81d..5ced7629 100644
--- a/tests/test_preprocess.py
+++ b/tests/test_preprocess.py
@@ -174,6 +174,8 @@ def dummy_register(monkeypatch):
         {
             "preprocessors": defaultdict(set),
             "validators": defaultdict(set),
+            "global_preprocessors": set(),
+            "global_validators": set(),
         },
     )