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_reg_localTrans_regul.cpp
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_reg_localTrans_regul.cpp
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/*
* _reg_localTrans_regul.cpp
*
*
* Created by Marc Modat on 10/05/2011.
* Copyright (c) 2009-2018, University College London
* Copyright (c) 2018, NiftyReg Developers.
* All rights reserved.
* See the LICENSE.txt file in the nifty_reg root folder
*
*/
#include "_reg_localTrans_regul.h"
/* *************************************************************** */
/* *************************************************************** */
template<class DTYPE>
double reg_spline_approxBendingEnergyValue2D(nifti_image *splineControlPoint)
{
size_t nodeNumber = (size_t)splineControlPoint->nx * splineControlPoint->ny;
int a, b, x, y, index, i;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
// get the constant basis values
DTYPE basisXX[9], basisYY[9], basisXY[9];
set_second_order_bspline_basis_values(basisXX, basisYY, basisXY);
double constraintValue=0.0;
DTYPE splineCoeffX, splineCoeffY;
DTYPE XX_x, YY_x, XY_x;
DTYPE XX_y, YY_y, XY_y;
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint, splinePtrX, splinePtrY, \
basisXX, basisYY, basisXY) \
private(XX_x, YY_x, XY_x, XX_y, YY_y, XY_y, \
x, y, a, b, index, i, \
splineCoeffX, splineCoeffY) \
reduction(+:constraintValue)
#endif
for(y=1; y<splineControlPoint->ny-1; ++y)
{
for(x=1; x<splineControlPoint->nx-1; ++x)
{
XX_x=0.0, YY_x=0.0, XY_x=0.0;
XX_y=0.0, YY_y=0.0, XY_y=0.0;
i=0;
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
index = (y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
XX_x += basisXX[i]*splineCoeffX;
YY_x += basisYY[i]*splineCoeffX;
XY_x += basisXY[i]*splineCoeffX;
XX_y += basisXX[i]*splineCoeffY;
YY_y += basisYY[i]*splineCoeffY;
XY_y += basisXY[i]*splineCoeffY;
++i;
}
}
constraintValue += double(
XX_x*XX_x + YY_x*YY_x + 2.0*XY_x*XY_x +
XX_y*XX_y + YY_y*YY_y + 2.0*XY_y*XY_y );
}
}
return constraintValue / (double)splineControlPoint->nvox;
}
/* *************************************************************** */
template<class DTYPE>
double reg_spline_approxBendingEnergyValue3D(nifti_image *splineControlPoint)
{
size_t nodeNumber = (size_t)splineControlPoint->nx *
splineControlPoint->ny * splineControlPoint->nz;
int a, b, c, x, y, z, index, i;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE *splinePtrZ = &splinePtrY[nodeNumber];
// get the constant basis values
DTYPE basisXX[27], basisYY[27], basisZZ[27], basisXY[27], basisYZ[27], basisXZ[27];
set_second_order_bspline_basis_values(basisXX, basisYY, basisZZ, basisXY, basisYZ, basisXZ);
double constraintValue=0.0;
DTYPE splineCoeffX, splineCoeffY, splineCoeffZ;
DTYPE XX_x, YY_x, ZZ_x, XY_x, YZ_x, XZ_x;
DTYPE XX_y, YY_y, ZZ_y, XY_y, YZ_y, XZ_y;
DTYPE XX_z, YY_z, ZZ_z, XY_z, YZ_z, XZ_z;
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint, splinePtrX, splinePtrY, splinePtrZ, \
basisXX, basisYY, basisZZ, basisXY, basisYZ, basisXZ) \
private(XX_x, YY_x, ZZ_x, XY_x, YZ_x, XZ_x, XX_y, YY_y, ZZ_y, XY_y, YZ_y, XZ_y, \
XX_z, YY_z, ZZ_z, XY_z, YZ_z, XZ_z, x, y, z, a, b, c, index, i, \
splineCoeffX, splineCoeffY, splineCoeffZ) \
reduction(+:constraintValue)
#endif
for(z=1; z<splineControlPoint->nz-1; ++z)
{
for(y=1; y<splineControlPoint->ny-1; ++y)
{
for(x=1; x<splineControlPoint->nx-1; ++x)
{
XX_x=0.0, YY_x=0.0, ZZ_x=0.0;
XY_x=0.0, YZ_x=0.0, XZ_x=0.0;
XX_y=0.0, YY_y=0.0, ZZ_y=0.0;
XY_y=0.0, YZ_y=0.0, XZ_y=0.0;
XX_z=0.0, YY_z=0.0, ZZ_z=0.0;
XY_z=0.0, YZ_z=0.0, XZ_z=0.0;
i=0;
for(c=-1; c<2; c++){
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
index = ((z+c)*splineControlPoint->ny+y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
splineCoeffZ = splinePtrZ[index];
XX_x += basisXX[i]*splineCoeffX;
YY_x += basisYY[i]*splineCoeffX;
ZZ_x += basisZZ[i]*splineCoeffX;
XY_x += basisXY[i]*splineCoeffX;
YZ_x += basisYZ[i]*splineCoeffX;
XZ_x += basisXZ[i]*splineCoeffX;
XX_y += basisXX[i]*splineCoeffY;
YY_y += basisYY[i]*splineCoeffY;
ZZ_y += basisZZ[i]*splineCoeffY;
XY_y += basisXY[i]*splineCoeffY;
YZ_y += basisYZ[i]*splineCoeffY;
XZ_y += basisXZ[i]*splineCoeffY;
XX_z += basisXX[i]*splineCoeffZ;
YY_z += basisYY[i]*splineCoeffZ;
ZZ_z += basisZZ[i]*splineCoeffZ;
XY_z += basisXY[i]*splineCoeffZ;
YZ_z += basisYZ[i]*splineCoeffZ;
XZ_z += basisXZ[i]*splineCoeffZ;
++i;
}
}
}
constraintValue += double(
XX_x*XX_x + YY_x*YY_x + ZZ_x*ZZ_x + 2.0*(XY_x*XY_x + YZ_x*YZ_x + XZ_x*XZ_x) +
XX_y*XX_y + YY_y*YY_y + ZZ_y*ZZ_y + 2.0*(XY_y*XY_y + YZ_y*YZ_y + XZ_y*XZ_y) +
XX_z*XX_z + YY_z*YY_z + ZZ_z*ZZ_z + 2.0*(XY_z*XY_z + YZ_z*YZ_z + XZ_z*XZ_z) );
}
}
}
return constraintValue / (double)splineControlPoint->nvox;
}
/* *************************************************************** */
extern "C++"
double reg_spline_approxBendingEnergy(nifti_image *splineControlPoint)
{
if(splineControlPoint->nz==1)
{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_approxBendingEnergyValue2D<float>(splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_approxBendingEnergyValue2D<double>(splineControlPoint);
default:
reg_print_fct_error("reg_spline_approxBendingEnergy");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
else
{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_approxBendingEnergyValue3D<float>(splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_approxBendingEnergyValue3D<double>(splineControlPoint);
default:
reg_print_fct_error("reg_spline_approxBendingEnergy");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
}
/* *************************************************************** */
/* *************************************************************** */
template<class DTYPE>
void reg_spline_approxBendingEnergyGradient2D(nifti_image *splineControlPoint,
nifti_image *gradientImage,
float weight)
{
size_t nodeNumber = (size_t)splineControlPoint->nx*splineControlPoint->ny;
int a, b, x, y, X, Y, index, i;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
// get the constant basis values
DTYPE basisXX[9], basisYY[9], basisXY[9];
set_second_order_bspline_basis_values(basisXX, basisYY, basisXY);
DTYPE splineCoeffX;
DTYPE splineCoeffY;
DTYPE XX_x, YY_x, XY_x;
DTYPE XX_y, YY_y, XY_y;
DTYPE *derivativeValues = (DTYPE *)calloc(6*nodeNumber, sizeof(DTYPE));
DTYPE *derivativeValuesPtr;
reg_getDisplacementFromDeformation(splineControlPoint);
// Compute the bending energy values everywhere but at the boundary
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint,splinePtrX,splinePtrY, derivativeValues, \
basisXX, basisYY, basisXY) \
private(a, b, i, index, x, y, derivativeValuesPtr, splineCoeffX, splineCoeffY, \
XX_x, YY_x, XY_x, XX_y, YY_y, XY_y)
#endif
for(y=0; y<splineControlPoint->ny; y++)
{
derivativeValuesPtr = &derivativeValues[6*y*splineControlPoint->nx];
for(x=0; x<splineControlPoint->nx; x++)
{
XX_x=0.0, YY_x=0.0, XY_x=0.0;
XX_y=0.0, YY_y=0.0, XY_y=0.0;
i=0;
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
if(-1<(x+a) && -1<(y+b) && (x+a)<splineControlPoint->nx && (y+b)<splineControlPoint->ny)
{
index = (y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
XX_x += basisXX[i]*splineCoeffX;
YY_x += basisYY[i]*splineCoeffX;
XY_x += basisXY[i]*splineCoeffX;
XX_y += basisXX[i]*splineCoeffY;
YY_y += basisYY[i]*splineCoeffY;
XY_y += basisXY[i]*splineCoeffY;
}
++i;
}
}
*derivativeValuesPtr++ = XX_x;
*derivativeValuesPtr++ = XX_y;
*derivativeValuesPtr++ = YY_x;
*derivativeValuesPtr++ = YY_y;
*derivativeValuesPtr++ = (DTYPE)(2.0*XY_x);
*derivativeValuesPtr++ = (DTYPE)(2.0*XY_y);
}
}
DTYPE *gradientXPtr = static_cast<DTYPE *>(gradientImage->data);
DTYPE *gradientYPtr = &gradientXPtr[nodeNumber];
DTYPE approxRatio = (DTYPE)weight / (DTYPE)nodeNumber;
DTYPE gradientValue[2];
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint, derivativeValues, gradientXPtr, gradientYPtr, \
basisXX, basisYY, basisXY, approxRatio) \
private(index, a, X, Y, x, y, derivativeValuesPtr, gradientValue)
#endif
for(y=0; y<splineControlPoint->ny; y++)
{
index=y*splineControlPoint->nx;
for(x=0; x<splineControlPoint->nx; x++)
{
gradientValue[0]=gradientValue[1]=0.0;
a=0;
for(Y=y-1; Y<y+2; Y++)
{
for(X=x-1; X<x+2; X++)
{
if(-1<X && -1<Y && X<splineControlPoint->nx && Y<splineControlPoint->ny)
{
derivativeValuesPtr = &derivativeValues[6 * (Y*splineControlPoint->nx + X)];
gradientValue[0] += (*derivativeValuesPtr++) * basisXX[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisXX[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisYY[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisYY[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisXY[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisXY[a];
}
a++;
}
}
gradientXPtr[index] += approxRatio*gradientValue[0];
gradientYPtr[index] += approxRatio*gradientValue[1];
index++;
}
}
reg_getDeformationFromDisplacement(splineControlPoint);
free(derivativeValues);
}
/* *************************************************************** */
template<class DTYPE>
void reg_spline_approxBendingEnergyGradient3D(nifti_image *splineControlPoint,
nifti_image *gradientImage,
float weight)
{
size_t nodeNumber = (size_t)splineControlPoint->nx*splineControlPoint->ny*splineControlPoint->nz;
int a, b, c, x, y, z, X, Y, Z, index, i;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE *splinePtrZ = &splinePtrY[nodeNumber];
// get the constant basis values
DTYPE basisXX[27], basisYY[27], basisZZ[27], basisXY[27], basisYZ[27], basisXZ[27];
set_second_order_bspline_basis_values(basisXX, basisYY, basisZZ, basisXY, basisYZ, basisXZ);
DTYPE splineCoeffX;
DTYPE splineCoeffY;
DTYPE splineCoeffZ;
DTYPE XX_x, YY_x, ZZ_x, XY_x, YZ_x, XZ_x;
DTYPE XX_y, YY_y, ZZ_y, XY_y, YZ_y, XZ_y;
DTYPE XX_z, YY_z, ZZ_z, XY_z, YZ_z, XZ_z;
DTYPE *derivativeValues = (DTYPE *)calloc(18*nodeNumber, sizeof(DTYPE));
DTYPE *derivativeValuesPtr;
reg_getDisplacementFromDeformation(splineControlPoint);
// Compute the bending energy values everywhere but at the boundary
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint,splinePtrX,splinePtrY,splinePtrZ, derivativeValues, \
basisXX, basisYY, basisZZ, basisXY, basisYZ, basisXZ) \
private(a, b, c, i, index, x, y, z, derivativeValuesPtr, splineCoeffX, splineCoeffY, \
splineCoeffZ, XX_x, YY_x, ZZ_x, XY_x, YZ_x, XZ_x, XX_y, YY_y, \
ZZ_y, XY_y, YZ_y, XZ_y, XX_z, YY_z, ZZ_z, XY_z, YZ_z, XZ_z)
#endif
for(z=0; z<splineControlPoint->nz; z++)
{
derivativeValuesPtr = &derivativeValues[18*z*splineControlPoint->ny*splineControlPoint->nx];
for(y=0; y<splineControlPoint->ny; y++)
{
for(x=0; x<splineControlPoint->nx; x++)
{
XX_x=0.0, YY_x=0.0, ZZ_x=0.0;
XY_x=0.0, YZ_x=0.0, XZ_x=0.0;
XX_y=0.0, YY_y=0.0, ZZ_y=0.0;
XY_y=0.0, YZ_y=0.0, XZ_y=0.0;
XX_z=0.0, YY_z=0.0, ZZ_z=0.0;
XY_z=0.0, YZ_z=0.0, XZ_z=0.0;
i=0;
for(c=-1; c<2; c++){
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
if(-1<(x+a) && -1<(y+b) && -1<(z+c) && (x+a)<splineControlPoint->nx && (y+b)<splineControlPoint->ny && (z+c)<splineControlPoint->nz)
{
index = ((z+c)*splineControlPoint->ny+y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
splineCoeffZ = splinePtrZ[index];
XX_x += basisXX[i]*splineCoeffX;
YY_x += basisYY[i]*splineCoeffX;
ZZ_x += basisZZ[i]*splineCoeffX;
XY_x += basisXY[i]*splineCoeffX;
YZ_x += basisYZ[i]*splineCoeffX;
XZ_x += basisXZ[i]*splineCoeffX;
XX_y += basisXX[i]*splineCoeffY;
YY_y += basisYY[i]*splineCoeffY;
ZZ_y += basisZZ[i]*splineCoeffY;
XY_y += basisXY[i]*splineCoeffY;
YZ_y += basisYZ[i]*splineCoeffY;
XZ_y += basisXZ[i]*splineCoeffY;
XX_z += basisXX[i]*splineCoeffZ;
YY_z += basisYY[i]*splineCoeffZ;
ZZ_z += basisZZ[i]*splineCoeffZ;
XY_z += basisXY[i]*splineCoeffZ;
YZ_z += basisYZ[i]*splineCoeffZ;
XZ_z += basisXZ[i]*splineCoeffZ;
}
++i;
}
}
}
*derivativeValuesPtr++ = XX_x;
*derivativeValuesPtr++ = XX_y;
*derivativeValuesPtr++ = XX_z;
*derivativeValuesPtr++ = YY_x;
*derivativeValuesPtr++ = YY_y;
*derivativeValuesPtr++ = YY_z;
*derivativeValuesPtr++ = ZZ_x;
*derivativeValuesPtr++ = ZZ_y;
*derivativeValuesPtr++ = ZZ_z;
*derivativeValuesPtr++ = (DTYPE)(2.0*XY_x);
*derivativeValuesPtr++ = (DTYPE)(2.0*XY_y);
*derivativeValuesPtr++ = (DTYPE)(2.0*XY_z);
*derivativeValuesPtr++ = (DTYPE)(2.0*YZ_x);
*derivativeValuesPtr++ = (DTYPE)(2.0*YZ_y);
*derivativeValuesPtr++ = (DTYPE)(2.0*YZ_z);
*derivativeValuesPtr++ = (DTYPE)(2.0*XZ_x);
*derivativeValuesPtr++ = (DTYPE)(2.0*XZ_y);
*derivativeValuesPtr++ = (DTYPE)(2.0*XZ_z);
}
}
}
DTYPE *gradientXPtr = static_cast<DTYPE *>(gradientImage->data);
DTYPE *gradientYPtr = &gradientXPtr[nodeNumber];
DTYPE *gradientZPtr = &gradientYPtr[nodeNumber];
DTYPE approxRatio = (DTYPE)weight / (DTYPE)nodeNumber;
DTYPE gradientValue[3];
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splineControlPoint, derivativeValues, gradientXPtr, gradientYPtr, gradientZPtr, \
basisXX, basisYY, basisZZ, basisXY, basisYZ, basisXZ, approxRatio) \
private(index, a, X, Y, Z, x, y, z, derivativeValuesPtr, gradientValue)
#endif
for(z=0; z<splineControlPoint->nz; z++)
{
index=z*splineControlPoint->nx*splineControlPoint->ny;
for(y=0; y<splineControlPoint->ny; y++)
{
for(x=0; x<splineControlPoint->nx; x++)
{
gradientValue[0]=gradientValue[1]=gradientValue[2]=0.0;
a=0;
for(Z=z-1; Z<z+2; Z++)
{
for(Y=y-1; Y<y+2; Y++)
{
for(X=x-1; X<x+2; X++)
{
if(-1<X && -1<Y && -1<Z && X<splineControlPoint->nx && Y<splineControlPoint->ny && Z<splineControlPoint->nz)
{
derivativeValuesPtr = &derivativeValues[18 * ((Z*splineControlPoint->ny + Y)*splineControlPoint->nx + X)];
gradientValue[0] += (*derivativeValuesPtr++) * basisXX[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisXX[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisXX[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisYY[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisYY[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisYY[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisZZ[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisZZ[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisZZ[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisXY[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisXY[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisXY[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisYZ[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisYZ[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisYZ[a];
gradientValue[0] += (*derivativeValuesPtr++) * basisXZ[a];
gradientValue[1] += (*derivativeValuesPtr++) * basisXZ[a];
gradientValue[2] += (*derivativeValuesPtr++) * basisXZ[a];
}
a++;
}
}
}
gradientXPtr[index] += approxRatio*gradientValue[0];
gradientYPtr[index] += approxRatio*gradientValue[1];
gradientZPtr[index] += approxRatio*gradientValue[2];
index++;
}
}
}
free(derivativeValues);
reg_getDeformationFromDisplacement(splineControlPoint);
}
/* *************************************************************** */
extern "C++"
void reg_spline_approxBendingEnergyGradient(nifti_image *splineControlPoint,
nifti_image *gradientImage,
float weight)
{
if(splineControlPoint->datatype != gradientImage->datatype)
{
reg_print_fct_error("reg_spline_approxBendingEnergyGradient");
reg_print_msg_error("The input images are expected to have the same type");
reg_exit();
}
if(splineControlPoint->nz==1)
{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
reg_spline_approxBendingEnergyGradient2D<float>
(splineControlPoint, gradientImage, weight);
break;
case NIFTI_TYPE_FLOAT64:
reg_spline_approxBendingEnergyGradient2D<double>
(splineControlPoint, gradientImage, weight);
break;
default:
reg_print_fct_error("reg_spline_approxBendingEnergyGradient");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
else
{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
reg_spline_approxBendingEnergyGradient3D<float>
(splineControlPoint, gradientImage, weight);
break;
case NIFTI_TYPE_FLOAT64:
reg_spline_approxBendingEnergyGradient3D<double>
(splineControlPoint, gradientImage, weight);
break;
default:
reg_print_fct_error("reg_spline_approxBendingEnergyGradient");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
}
/* *************************************************************** */
/* *************************************************************** */
template <class DTYPE>
double reg_spline_approxLinearEnergyValue2D(nifti_image *splineControlPoint)
{
size_t nodeNumber = (size_t)splineControlPoint->nx*
splineControlPoint->ny;
int a, b, x, y, i, index;
double constraintValue = 0.;
double currentValue;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
// Store the basis values since they are constant as the value is approximated
// at the control point positions only
DTYPE basisX[9], basisY[9];
set_first_order_basis_values(basisX, basisY);
DTYPE splineCoeffX;
DTYPE splineCoeffY;
mat33 matrix, R;
// Matrix to use to convert the gradient from mm to voxel
mat33 reorientation;
if(splineControlPoint->sform_code>0)
reorientation = reg_mat44_to_mat33(&splineControlPoint->sto_ijk);
else reorientation = reg_mat44_to_mat33(&splineControlPoint->qto_ijk);
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splinePtrX, splinePtrY, splineControlPoint, \
basisX, basisY, reorientation) \
private(x, y, a, b, i, index, matrix, R, \
splineCoeffX, splineCoeffY, currentValue) \
reduction(+:constraintValue)
#endif
for(y=1; y<splineControlPoint->ny-1; ++y){
for(x=1; x<splineControlPoint->nx-1; ++x){
memset(&matrix, 0, sizeof(mat33));
matrix.m[2][2] = 1.f;
i=0;
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
index = (y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
matrix.m[0][0] += basisX[i]*splineCoeffX;
matrix.m[1][0] += basisY[i]*splineCoeffX;
matrix.m[0][1] += basisX[i]*splineCoeffY;
matrix.m[1][1] += basisY[i]*splineCoeffY;
++i;
}
}
// Convert from mm to voxel
matrix = nifti_mat33_mul(reorientation, matrix);
// Removing the rotation component
R = nifti_mat33_inverse(nifti_mat33_polar(matrix));
matrix = nifti_mat33_mul(R, matrix);
// Convert to displacement
--matrix.m[0][0];
--matrix.m[1][1];
currentValue = 0.;
for(b=0; b<2; b++){
for(a=0; a<2; a++){
currentValue += reg_pow2(0.5*(matrix.m[a][b]+matrix.m[b][a])); // symmetric part
}
}
constraintValue += currentValue;
}
}
return constraintValue / static_cast<double>(splineControlPoint->nvox);
}
/* *************************************************************** */
template <class DTYPE>
double reg_spline_approxLinearEnergyValue3D(nifti_image *splineControlPoint)
{
size_t nodeNumber = (size_t)splineControlPoint->nx *
splineControlPoint->ny * splineControlPoint->nz;
int a, b, c, x, y, z, i, index;
double constraintValue = 0.;
double currentValue;
// Create pointers to the spline coefficients
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE *splinePtrZ = &splinePtrY[nodeNumber];
// Store the basis values since they are constant as the value is approximated
// at the control point positions only
DTYPE basisX[27], basisY[27], basisZ[27];
set_first_order_basis_values(basisX, basisY, basisZ);
DTYPE splineCoeffX;
DTYPE splineCoeffY;
DTYPE splineCoeffZ;
mat33 matrix, R;
// Matrix to use to convert the gradient from mm to voxel
mat33 reorientation;
if(splineControlPoint->sform_code>0)
reorientation = reg_mat44_to_mat33(&splineControlPoint->sto_ijk);
else reorientation = reg_mat44_to_mat33(&splineControlPoint->qto_ijk);
#ifdef _OPENMP
#pragma omp parallel for default(none) \
shared(splinePtrX, splinePtrY, splinePtrZ, splineControlPoint, \
basisX, basisY, basisZ, reorientation) \
private(x, y, z, a, b, c, i, index, matrix, R, \
splineCoeffX, splineCoeffY, splineCoeffZ, currentValue) \
reduction(+:constraintValue)
#endif
for(z=1; z<splineControlPoint->nz-1; ++z){
for(y=1; y<splineControlPoint->ny-1; ++y){
for(x=1; x<splineControlPoint->nx-1; ++x){
memset(&matrix, 0, sizeof(mat33));
i=0;
for(c=-1; c<2; c++){
for(b=-1; b<2; b++){
for(a=-1; a<2; a++){
index = ((z+c)*splineControlPoint->ny+y+b)*splineControlPoint->nx+x+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
splineCoeffZ = splinePtrZ[index];
matrix.m[0][0] += basisX[i]*splineCoeffX;
matrix.m[1][0] += basisY[i]*splineCoeffX;
matrix.m[2][0] += basisZ[i]*splineCoeffX;
matrix.m[0][1] += basisX[i]*splineCoeffY;
matrix.m[1][1] += basisY[i]*splineCoeffY;
matrix.m[2][1] += basisZ[i]*splineCoeffY;
matrix.m[0][2] += basisX[i]*splineCoeffZ;
matrix.m[1][2] += basisY[i]*splineCoeffZ;
matrix.m[2][2] += basisZ[i]*splineCoeffZ;
++i;
}
}
}
// Convert from mm to voxel
matrix = nifti_mat33_mul(reorientation, matrix);
// Removing the rotation component
R = nifti_mat33_inverse(nifti_mat33_polar(matrix));
matrix = nifti_mat33_mul(R, matrix);
// Convert to displacement
--matrix.m[0][0];
--matrix.m[1][1];
--matrix.m[2][2];
currentValue = 0.;
for(b=0; b<3; b++){
for(a=0; a<3; a++){
currentValue += reg_pow2(0.5*(matrix.m[a][b]+matrix.m[b][a])); // symmetric part
}
}
constraintValue += currentValue;
}
}
}
return constraintValue / static_cast<double>(splineControlPoint->nvox);
}
/* *************************************************************** */
double reg_spline_approxLinearEnergy(nifti_image *splineControlPoint)
{
if(splineControlPoint->nz>1){
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_approxLinearEnergyValue3D<float>(splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_approxLinearEnergyValue3D<double>(splineControlPoint);
default:
reg_print_fct_error("reg_spline_approxLinearEnergyValue3D");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
else{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_approxLinearEnergyValue2D<float>(splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_approxLinearEnergyValue2D<double>(splineControlPoint);
default:
reg_print_fct_error("reg_spline_approxLinearEnergyValue2D");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
}
/* *************************************************************** */
/* *************************************************************** */
template <class DTYPE>
double reg_spline_linearEnergyValue2D(nifti_image *referenceImage,
nifti_image *splineControlPoint)
{
size_t voxelNumber = (size_t)referenceImage->nx *
referenceImage->ny;
int a, b, x, y, index, xPre, yPre;
DTYPE basis;
DTYPE gridVoxelSpacing[2] ={
gridVoxelSpacing[0] = splineControlPoint->dx / referenceImage->dx,
gridVoxelSpacing[1] = splineControlPoint->dy / referenceImage->dy
};
double constraintValue = 0.;
double currentValue;
// Create pointers to the spline coefficients
size_t nodeNumber = (size_t)splineControlPoint->nx *
splineControlPoint->ny * splineControlPoint->nz;
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE splineCoeffX, splineCoeffY;
// Store the basis values since they are constant as the value is approximated
// at the control point positions only
DTYPE basisX[4], basisY[4];
DTYPE firstX[4], firstY[4];
mat33 matrix, R;
// Matrix to use to convert the gradient from mm to voxel
mat33 reorientation;
if(splineControlPoint->sform_code>0)
reorientation = reg_mat44_to_mat33(&splineControlPoint->sto_ijk);
else reorientation = reg_mat44_to_mat33(&splineControlPoint->qto_ijk);
for(y=0; y<referenceImage->ny; ++y){
yPre=static_cast<int>(static_cast<DTYPE>(y)/gridVoxelSpacing[1]);
basis=static_cast<DTYPE>(y)/gridVoxelSpacing[1]-static_cast<DTYPE>(yPre);
if(basis<0.0) basis=0.0; //rounding error
get_BSplineBasisValues<DTYPE>(basis, basisY, firstY);
for(x=0; x<referenceImage->nx; ++x){
xPre=static_cast<int>(static_cast<DTYPE>(x)/gridVoxelSpacing[0]);
basis=static_cast<DTYPE>(x)/gridVoxelSpacing[0]-static_cast<DTYPE>(xPre);
if(basis<0.0) basis=0.0; //rounding error
get_BSplineBasisValues<DTYPE>(basis, basisX, firstX);
memset(&matrix, 0, sizeof(mat33));
for(b=0; b<4; b++){
for(a=0; a<4; a++){
index = (yPre+b)*splineControlPoint->nx+xPre+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
matrix.m[0][0] += firstX[a]*basisY[b]*splineCoeffX;
matrix.m[1][0] += basisX[a]*firstY[b]*splineCoeffX;
matrix.m[0][1] += firstX[a]*basisY[b]*splineCoeffY;
matrix.m[1][1] += basisX[a]*firstY[b]*splineCoeffY;
}
}
// Convert from mm to voxel
matrix = nifti_mat33_mul(reorientation, matrix);
// Removing the rotation component
R = nifti_mat33_inverse(nifti_mat33_polar(matrix));
matrix = nifti_mat33_mul(R, matrix);
// Convert to displacement
--matrix.m[0][0];
--matrix.m[1][1];
currentValue = 0.;
for(b=0; b<2; b++){
for(a=0; a<2; a++){
currentValue += reg_pow2(0.5*(matrix.m[a][b]+matrix.m[b][a])); // symmetric part
}
}
constraintValue += currentValue;
}
}
return constraintValue / static_cast<double>(voxelNumber*2);
}
/* *************************************************************** */
template <class DTYPE>
double reg_spline_linearEnergyValue3D(nifti_image *referenceImage,
nifti_image *splineControlPoint)
{
size_t voxelNumber = (size_t)referenceImage->nx *
referenceImage->ny * referenceImage->nz;
int a, b, c, x, y, z, index, xPre, yPre, zPre;
DTYPE basis;
DTYPE gridVoxelSpacing[3] ={
gridVoxelSpacing[0] = splineControlPoint->dx / referenceImage->dx,
gridVoxelSpacing[1] = splineControlPoint->dy / referenceImage->dy,
gridVoxelSpacing[2] = splineControlPoint->dz / referenceImage->dz
};
double constraintValue = 0.;
double currentValue;
// Create pointers to the spline coefficients
size_t nodeNumber = (size_t)splineControlPoint->nx *
splineControlPoint->ny * splineControlPoint->nz;
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE *splinePtrZ = &splinePtrY[nodeNumber];
DTYPE splineCoeffX, splineCoeffY, splineCoeffZ;
// Store the basis values since they are constant as the value is approximated
// at the control point positions only
DTYPE basisX[4], basisY[4], basisZ[4];
DTYPE firstX[4], firstY[4], firstZ[4];
mat33 matrix, R;
// Matrix to use to convert the gradient from mm to voxel
mat33 reorientation;
if(splineControlPoint->sform_code>0)
reorientation = reg_mat44_to_mat33(&splineControlPoint->sto_ijk);
else reorientation = reg_mat44_to_mat33(&splineControlPoint->qto_ijk);
for(z=0; z<referenceImage->nz; ++z){
zPre=static_cast<int>(static_cast<DTYPE>(z)/gridVoxelSpacing[2]);
basis=static_cast<DTYPE>(z)/gridVoxelSpacing[2]-static_cast<DTYPE>(zPre);
if(basis<0.0) basis=0.0; //rounding error
get_BSplineBasisValues<DTYPE>(basis, basisZ, firstZ);
for(y=0; y<referenceImage->ny; ++y){
yPre=static_cast<int>(static_cast<DTYPE>(y)/gridVoxelSpacing[1]);
basis=static_cast<DTYPE>(y)/gridVoxelSpacing[1]-static_cast<DTYPE>(yPre);
if(basis<0.0) basis=0.0; //rounding error
get_BSplineBasisValues<DTYPE>(basis, basisY, firstY);
for(x=0; x<referenceImage->nx; ++x){
xPre=static_cast<int>(static_cast<DTYPE>(x)/gridVoxelSpacing[0]);
basis=static_cast<DTYPE>(x)/gridVoxelSpacing[0]-static_cast<DTYPE>(xPre);
if(basis<0.0) basis=0.0; //rounding error
get_BSplineBasisValues<DTYPE>(basis, basisX, firstX);
memset(&matrix, 0, sizeof(mat33));
for(c=0; c<4; c++){
for(b=0; b<4; b++){
for(a=0; a<4; a++){
index = ((zPre+c)*splineControlPoint->ny+yPre+b)*splineControlPoint->nx+xPre+a;
splineCoeffX = splinePtrX[index];
splineCoeffY = splinePtrY[index];
splineCoeffZ = splinePtrZ[index];
matrix.m[0][0] += firstX[a]*basisY[b]*basisZ[c]*splineCoeffX;
matrix.m[1][0] += basisX[a]*firstY[b]*basisZ[c]*splineCoeffX;
matrix.m[2][0] += basisX[a]*basisY[b]*firstZ[c]*splineCoeffX;
matrix.m[0][1] += firstX[a]*basisY[b]*basisZ[c]*splineCoeffY;
matrix.m[1][1] += basisX[a]*firstY[b]*basisZ[c]*splineCoeffY;
matrix.m[2][1] += basisX[a]*basisY[b]*firstZ[c]*splineCoeffY;
matrix.m[0][2] += firstX[a]*basisY[b]*basisZ[c]*splineCoeffZ;
matrix.m[1][2] += basisX[a]*firstY[b]*basisZ[c]*splineCoeffZ;
matrix.m[2][2] += basisX[a]*basisY[b]*firstZ[c]*splineCoeffZ;
}
}
}
// Convert from mm to voxel
matrix = nifti_mat33_mul(reorientation, matrix);
// Removing the rotation component
R = nifti_mat33_inverse(nifti_mat33_polar(matrix));
matrix = nifti_mat33_mul(R, matrix);
// Convert to displacement
--matrix.m[0][0];
--matrix.m[1][1];
--matrix.m[2][2];
currentValue = 0.;
for(b=0; b<3; b++){
for(a=0; a<3; a++){
currentValue += reg_pow2(0.5*(matrix.m[a][b]+matrix.m[b][a])); // symmetric part
}
}
constraintValue += currentValue;
}
}
}
return constraintValue / static_cast<double>(voxelNumber*3);
}
/* *************************************************************** */
double reg_spline_linearEnergy(nifti_image *referenceImage,
nifti_image *splineControlPoint)
{
if(splineControlPoint->nz>1){
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_linearEnergyValue3D<float>(referenceImage, splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_linearEnergyValue3D<double>(referenceImage, splineControlPoint);
default:
reg_print_fct_error("reg_spline_linearEnergyValue3D");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
else{
switch(splineControlPoint->datatype)
{
case NIFTI_TYPE_FLOAT32:
return reg_spline_linearEnergyValue2D<float>(referenceImage, splineControlPoint);
case NIFTI_TYPE_FLOAT64:
return reg_spline_linearEnergyValue2D<double>(referenceImage, splineControlPoint);
default:
reg_print_fct_error("reg_spline_approxLinearEnergyValue2D");
reg_print_msg_error("Only implemented for single or double precision images");
reg_exit();
}
}
}
/* *************************************************************** */
/* *************************************************************** */
template <class DTYPE>
void reg_spline_linearEnergyGradient2D(nifti_image *referenceImage,
nifti_image *splineControlPoint,
nifti_image *gradientImage,
float weight
)
{
size_t voxelNumber = (size_t)referenceImage->nx *
referenceImage->ny;
int a, b, x, y, index, xPre, yPre;
DTYPE basis;
DTYPE gridVoxelSpacing[2] ={
gridVoxelSpacing[0] = splineControlPoint->dx / referenceImage->dx,
gridVoxelSpacing[1] = splineControlPoint->dy / referenceImage->dy
};
// Create pointers to the spline coefficients
size_t nodeNumber = (size_t)splineControlPoint->nx *
splineControlPoint->ny * splineControlPoint->nz;
DTYPE *splinePtrX = static_cast<DTYPE *>(splineControlPoint->data);
DTYPE *splinePtrY = &splinePtrX[nodeNumber];
DTYPE splineCoeffX, splineCoeffY;
// Store the basis values since they are constant as the value is approximated
// at the control point positions only