M. Agueh and G. Carlier, Barycenters in the Wasserstein Space, SIAM Journal on Mathematical Analysis, vol.43, issue.2, pp.904-924, 2011.
DOI : 10.1137/100805741
URL : https://hal.archives-ouvertes.fr/hal-00637399

S. Amari, Differential-geometrical methods in statistics, Lecture notes in statistics, 1985.

C. Atkinson and A. F. Mitchell, Rao's distance measure, Sankhya, The Indian J. of Stat, pp.345-365, 1981.

Z. Bar-joseph, R. El-yaniv, D. Lischinski, and M. Werman, Texture mixing and texture movie synthesis using statistical learning, IEEE Transactions on Visualization and Computer Graphics, vol.7, issue.2, pp.120-135, 2001.
DOI : 10.1109/2945.928165

A. B. Chan and N. Vasconcelos, Mixtures of dynamic textures, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1, pp.641-647, 2005.
DOI : 10.1109/ICCV.2005.151

A. Desolneux, L. Moisan, and S. Ronsin, A compact representation of random phase and Gaussian textures, 2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.1381-1384, 2013.
DOI : 10.1109/ICASSP.2012.6288148
URL : https://hal.archives-ouvertes.fr/hal-00662377

G. Doretto, A. Chiuso, Y. Wu, and S. Soatto, Dynamic textures, International Journal of Computer Vision, vol.51, issue.2, pp.91-109, 2003.
DOI : 10.1023/A:1021669406132

G. Doretto, E. Jones, and S. Soatto, Spatially Homogeneous Dynamic Textures, Proc. s = 0
DOI : 10.1007/978-3-540-24671-8_47

E. Conf, Computer Vision, pp.591-602, 2004.

D. C. Dowson and B. V. Landau, The Fr??chet distance between multivariate normal distributions, Journal of Multivariate Analysis, vol.12, issue.3, pp.450-455, 1982.
DOI : 10.1016/0047-259X(82)90077-X

A. A. Efros and T. K. Leung, Texture synthesis by non-parametric sampling, Proceedings of the Seventh IEEE International Conference on Computer Vision, pp.1033-1038, 1999.
DOI : 10.1109/ICCV.1999.790383

S. Ferradans, G. Xia, G. Peyré, and J. Aujol, Static and dynamic texture mixing using [15] B. Ghanem and N. Ahuja, Phase based modelling of dynamic textures, Proc. Int. Conf. Computer Vision, pp.1-8, 2007.

B. Julesz, Visual Pattern Discrimination, IEEE Transactions on Information Theory, vol.8, issue.2, pp.84-92, 1962.
DOI : 10.1109/TIT.1962.1057698

B. Julesz, E. N. Gilbert, L. A. Shepp, and H. L. Frisch, Inability of Humans to Discriminate between Visual Textures That Agree in Second-Order Statistics???Revisited, Perception, vol.10, issue.4, pp.2-391, 1973.
DOI : 10.1068/p020391

M. Knott and C. S. Smith, On a generalization of cyclic monotonicity and distances among random vectors, Linear Algebra and its Applications, vol.199, pp.363-371, 1994.
DOI : 10.1016/0024-3795(94)90359-X

V. Kwatra, A. Schödl, I. Essa, G. Turk, and A. Bobick, Graphcut textures: image and video synthesis using graph cuts, Proc. ACM SIGGRAPH, pp.277-286, 2003.

L. Ljung, System Identification: Theory for the User, 1987.

W. Matusik, M. Zwicker, and F. Durand, Texture design using a simplicial complex of morphable textures, ACM Transactions on Graphics, vol.24, issue.3, pp.787-794, 2005.
DOI : 10.1145/1073204.1073262

L. Moisan, Periodic Plus Smooth Image Decomposition, Journal of Mathematical Imaging and Vision, vol.4, issue.1, pp.161-179, 2011.
DOI : 10.1007/s10851-010-0227-1
URL : https://hal.archives-ouvertes.fr/hal-00388020

D. B. Percival and A. T. Walden, Spectral Analysis for Physical Applications: Multitaper and Conventional Univariate Techniques, 1993.
DOI : 10.1017/CBO9780511622762

R. Péteri, S. Fazekas, and M. J. Huiskes, DynTex: A comprehensive database of dynamic textures, Pattern Recognition Letters, vol.31, issue.12, pp.31-1627, 2010.
DOI : 10.1016/j.patrec.2010.05.009

F. Pitié, A. Kokaram, and R. Dahyot, Automated colour grading using colour distribution transfer, Computer Vision and Image Understanding, vol.107, issue.1-2, 2007.
DOI : 10.1016/j.cviu.2006.11.011

J. Portilla and E. P. Simoncelli, A parametric texture model based on joint statistics of complex wavelet coefficients, Int. J. Comput. Vision, pp.40-49, 2000.

J. Rabin, G. Peyré, J. Delon, and M. Bernot, Wasserstein Barycenter and Its Application to Texture Mixing, Proc. SSVM'11, 2011.
DOI : 10.1007/978-3-642-24785-9_37

N. Ravishanker, PROCESSES, Communications in Statistics - Theory and Methods, vol.68, issue.8-9, pp.1889-1902, 2001.
DOI : 10.1081/STA-100105703

N. Ravishanker, E. L. Melnick, and C. Tsai, DIFFERENTIAL GEOMETRY OF ARMA MODELS, Journal of Time Series Analysis, vol.46, issue.3, pp.11-259, 1990.
DOI : 10.1016/0047-259X(86)90055-2

Y. Rubner, C. Tomasi, and L. J. Guibas, The earth mover's distance as a metric for image retrieval, International Journal of Computer Vision, pp.40-99, 2000.

R. Ruiters, R. Schnabel, and R. Klein, Patch-based Texture Interpolation, Computer Graphics Forum, vol.22, issue.3, pp.1421-1429, 2010.
DOI : 10.1111/j.1467-8659.2010.01739.x

D. Slepian, Prolate Spheroidal Wave Functions, Fourier Analysis, and Uncertainty-V: The Discrete Case, Bell System Technical Journal, vol.57, issue.5, pp.1371-1430, 1978.
DOI : 10.1002/j.1538-7305.1978.tb02104.x

D. Soheil, E. Shechtman, C. Barnes, D. Goldman, and P. Sen, Image Melding: Combining Inconsistent Images using Patch-based Synthesis, Proceedings of SIGGRAPH 2012, p.31, 2012.

M. Szummer and R. W. Picard, Temporal texture modeling, Proceedings of 3rd IEEE International Conference on Image Processing, pp.823-826, 1996.
DOI : 10.1109/ICIP.1996.560871

A. Takatsu, Wasserstein geometry of Gaussian measures, Osaka J. Math, pp.1005-1026, 2011.

K. J. Van-garderen, Cross-sectional aggregation of non-linear models, Journal of Econometrics, vol.95, issue.2, pp.285-331, 2000.
DOI : 10.1016/S0304-4076(99)00040-8

J. J. Van-wijk, Spot noise texture synthesis for data visualization, ACM SIGGRAPH Computer Graphics, vol.25, issue.4, pp.309-318, 1991.
DOI : 10.1145/127719.122751

C. Villani, Topics in Optimal Transportation, 2003.
DOI : 10.1090/gsm/058

L. Wei, S. Lefebvre, V. Kwatra, and G. Turk, State of the art in example-based texture synthesis, Eurographics 2009, State of the Art Report, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00606853

L. Wei and M. Levoy, Texture synthesis over arbitrary manifold surfaces, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.355-360, 2001.
DOI : 10.1145/383259.383298

G. Xia, S. Ferradans, G. Peyré, and J. Aujol, Compact representations of stationary dynamic textures, 2012 19th IEEE International Conference on Image Processing, pp.1-4, 2012.
DOI : 10.1109/ICIP.2012.6467529
URL : https://hal.archives-ouvertes.fr/hal-00662719