S. Amari and H. Nagaoka, Methods of information geometry, 2000.

S. Efromovich, Orthogonal series density estimation, Wiley Interdisciplinary Reviews: Computational Statistics, vol.35, issue.1, pp.467-476, 2010.
DOI : 10.1002/wics.97

S. Oudot, F. Chazal, L. J. Guibas, and P. Skraba, Scalar field analysis over point cloud data, Discrete and Computational Geometry, vol.46, issue.4, pp.743-775, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00772430

Y. Gong, C. H. Chuan, and G. Xiaoyi, Image indexing and retrieval using color histograms, Multimedia Tools and Application, pp.133-156, 1996.

S. Jayasumana, R. Hartley, M. Salzmann, H. Li, and M. Harandi, Kernel Methods on the Riemannian Manifold of Symmetric Positive Definite Matrices, 2013 IEEE Conference on Computer Vision and Pattern Recognition, 2013.
DOI : 10.1109/CVPR.2013.17

H. Knutsson, Representing Local Structure Using Tensors II, Proceedings of 6th Scandinavian Conf. on Image Analysis, pp.244-251, 1989.
DOI : 10.1007/978-3-540-75757-3_110

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.651.1313

S. Kuriki and A. Takemura, Distribution, Annals of the Institute of Statistical Mathematics, vol.52, issue.1, pp.1-14, 2000.
DOI : 10.1023/A:1004191713375

C. Lenglet, M. Rousson, R. Deriche, and O. Faugeras, Statistics on the Manifold of Multivariate Normal Distributions: Theory and Application to Diffusion Tensor MRI Processing, Journal of Mathematical Imaging and Vision, vol.12, issue.1, pp.423-444, 2006.
DOI : 10.1007/s10851-006-6897-z

M. Nikolova, Y. Wen, and R. Chan, Exact Histogram Specification for Digital Images Using a Variational Approach, Journal of Mathematical Imaging and Vision, vol.51, issue.4, pp.309-325, 2013.
DOI : 10.1007/s10851-012-0401-8

URL : https://hal.archives-ouvertes.fr/hal-00723448

X. Pennec, Intrinsic Statistics on Riemannian Manifolds: Basic Tools for Geometric Measurements, Journal of Mathematical Imaging and Vision, vol.20, issue.10, pp.127-154, 2006.
DOI : 10.1007/s10851-006-6228-4

URL : https://hal.archives-ouvertes.fr/inria-00614994

X. Pennec, P. Fillard, and N. Ayache, A Riemannian Framework for Tensor Computing, International Journal of Computer Vision, vol.6, issue.2, pp.41-66, 2006.
DOI : 10.1007/s11263-005-3222-z

URL : https://hal.archives-ouvertes.fr/inria-00070743

J. Portilla and E. P. Simoncelli, A parametric texture model based on joint statistics of complex wavelet coefficients, International Journal of Computer Vision, vol.40, issue.1, pp.49-71, 2000.
DOI : 10.1023/A:1026553619983

T. Randen and J. H. Husøy, Filtering for texture classification: a comparative study, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.21, issue.4, pp.291-310, 1999.
DOI : 10.1109/34.761261

G. Sapiro and V. Caselles, Histogram Modification via Differential Equations, Journal of Differential Equations, vol.135, issue.2, pp.238-268, 1997.
DOI : 10.1006/jdeq.1996.3237

URL : http://doi.org/10.1006/jdeq.1996.3237

P. Soille, Morphological Image Analysis: Principles and Applications, 2003.

A. Takatsu, Wasserstein geometry of gaussian measures, Osaka J. Math, vol.48, pp.1005-1026, 2010.

A. Robert and . Wijsman, Invariant measures on groups and their use in statistics, 1990.