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AlexanderFabisch committed Sep 28, 2024
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Gaussian in Cartesian space, but it is Gaussian in exponential coordinate
space of SO(3).
This example adapted and modified to 3D from
Barfoot, Furgale: Associating Uncertainty With Three-Dimensional Poses for Use
in Estimation Problems, http://ncfrn.mcgill.ca/members/pubs/barfoot_tro14.pdf
The banana distribution was analyzed in detail by
Long, Wolfe, Mashner, Chirikjian: The Banana Distribution is Gaussian:
A Localization Study with Exponential Coordinates,
http://www.roboticsproceedings.org/rss08/p34.pdf
This example adapted and modified to 3D from Barfoot and Furgale [1]_.
The banana distribution was analyzed in detail by Long et al. [2]_.
References
----------
.. [1] Barfoot, T. D., Furgale, P. T. (2014). Associating Uncertainty With
Three-Dimensional Poses for Use in Estimation Problems. IEEE Transactions on
Robotics 30(3), pp. 679-693, doi: 10.1109/TRO.2014.2298059.
.. [2] Long, A. W., Wolfe, K. C., Mashner, M. J., Chirikjian, G. S. (2013).
The Banana Distribution is Gaussian: A Localization Study with Exponential
Coordinates. In Robotics: Science and Systems VIII, pp. 265-272.
http://www.roboticsproceedings.org/rss08/p34.pdf
"""
import numpy as np
import matplotlib.pyplot as plt
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