. References and . Aittala, Reectance modeling by neural texture synthesis, ACM Trans. Graph, vol.35, issue.65, p.16513, 2016.

M. Ashikhmin and S. Premoze, Distribution-based BRDFs. Tech. rep Accurate tting of measured reectances using a Shifted Gamma micro-facet distribution, Computer Graphics Forum, vol.31, issue.4, p.15091518, 2007.

. Bilgili, A General BRDF Representation Based on Tensor Decomposition, Computer Graphics Forum, vol.24, issue.3, 2011.
DOI : 10.1111/j.1467-8659.2011.02072.x

N. Bonneel, G. Peyré, and M. Cuturi, Wasserstein barycentric coordinates, ACM Transactions on Graphics, vol.35, issue.4, 2016.
DOI : 10.1145/2897824.2925918
URL : https://hal.archives-ouvertes.fr/hal-01303148

J. Dorsey, H. Rushmeier, and F. Sillion, Digital Modeling of Material Appearance, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00510244

D. Guarnera, G. Guarnera, A. Ghosh, C. Denk, and M. Glencross, BRDF Representation and Acquisition, Computer Graphics Forum, vol.28, issue.8, p.625650, 2015.
DOI : 10.2312/EGWR/EGSR05/117-126
URL : https://dspace.lboro.ac.uk/2134/21522

J. Hao, Y. Liu, and D. Weng, A BRDF Representing Method Based on Gaussian Process, 2015.
DOI : 10.1007/978-3-319-16631-5_40

D. A. Harville, Matrix Algebra From a Statistician¾s Perspective, 1997.

R. Hooke, J. , and T. , `` Direct Search'' Solution of Numerical and Statistical Problems, Journal of the ACM, vol.8, issue.2, pp.212-229, 1961.
DOI : 10.1145/321062.321069

W. Jakob, J. Kautz, and M. D. Mccool, Mitsuba renderer. http://www.mitsuba-renderer.org Interactive rendering with arbitrary BRDFs using separable approximations, Rendering Techniques, 1999.

. Kautz, Fast, arbitrary BRDF shading for low-frequency lighting using spherical harmonics, Proceedings of the 13th Eurographics Workshop on Rendering, Eurographics Association, 2002.

J. Lawrence, S. Rusinkiewicz, R. , and R. , Ecient BRDF importance sampling using a factored representation, ACM Trans. Graph, vol.23, p.3, 2004.
DOI : 10.1145/1015706.1015751
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.5671

J. Lawrence, A. Ben-artzi, C. Decoro, W. Matusik, H. Pfister et al., Inverse shade trees for nonparametric material representation and editing, Proc. SIGGRAPH), 2006.
DOI : 10.1145/1141911.1141949
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.224.6596

J. Lawrence, A. Ben-artzi, C. Decoro, W. Matusik, H. Pfister et al., Inverse shade trees for nonparametric material representation and editing, ACM SIGGRAPH 2006 Papers, p.735745, 2006.
DOI : 10.1145/1141911.1141949
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.224.6596

N. Lawrence, Probabilistic non-linear principal component analysis with gaussian process latent variable models, J. Mach. Learn. Res, vol.6, p.17831816, 2005.

H. P. Lensch, J. Kautz, M. Goesele, W. Heidrich, and H. Seidel, Image-based reconstruction of spatial appearance and geometric detail, ACM Transactions on Graphics, vol.22, issue.2, 2003.
DOI : 10.1145/636886.636891

. Löw, BRDF models for accurate and ecient rendering of glossy surfaces, ACM Transactions on Graphics (TOG), vol.31, issue.9, p.1914, 2012.

S. R. Marschner, S. H. Westin, E. P. Lafortune, K. E. Torrance, and D. P. Greenberg, Image-Based BRDF Measurement Including Human Skin, Proceedings of the 10th Eurographics Conference on Rendering, Eurographics Association, 1999.
DOI : 10.1007/978-3-7091-6809-7_13
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.5584

. Matusik, A datadriven reectance model, ACM SIGGRAPH 2003 Papers, p.759769, 2003.

. Pellacini, Toward a psychophysically-based light reection model for image synthesis, Proceedings of the 27th Annual Conference on Computer Graphics and Interactive Techniques, 2000.

R. Ramamoorthi, Precomputation-Based Rendering, Foundations and Trends?? in Computer Graphics and Vision, vol.3, issue.4, p.281369, 2009.
DOI : 10.1561/0600000021

P. Schröder and W. Sweldens, Spherical wavelets, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.95-161172, 1995.
DOI : 10.1145/218380.218439

A. Serrano, D. Gutierrez, K. Myszkowski, H. Seidel, and B. Masia, An intuitive control space for material appearance, ACM Transactions on Graphics, vol.35, issue.6, p.118612, 2016.
DOI : 10.1145/2980179.2980242

. Sloan, Precomputed radiance transfer for real-time rendering in dynamic, low-frequency lighting environments, ACM Trans. Graph, vol.21, p.3, 2002.
DOI : 10.1145/566654.566612
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.8053

. Soler, Ecient and Accurate Spherical Kernel Integrals using Isotropic Decomposition, ACM Transactions on Graphics, vol.34, pp.5-14, 2015.
DOI : 10.1145/2797136

M. Mccool and M. D. , Factorization of the Ashikhmin BRDF for real-time rendering, J. Graphics, GPU, & Game Tools, vol.7, issue.4, p.6167, 2002.

X. Sun, K. Zhou, Y. Chen, S. Lin, J. Shi et al., Interactive relighting with dynamic brdfs, RR n° 9069, p.3, 2007.
DOI : 10.1145/1239451.1239478
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.170.5357

. Walter, Microfacet models for refraction through rough surfaces, Rendering Techniques, Eurographics Association, 2007.

M. Den-brok, D. Krumpen, S. Klein, and R. , Appearance capture and modeling, SIGGRAPH Asia 2015 Courses, 2015.

. Westin, Predicting reectance functions from complex surfaces, Proceedings of the 19th Annual Conference on Computer Graphics and Interactive Techniques, 1992.
DOI : 10.1145/142920.134075
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.67.7465

H. B. Westlund, M. , and G. W. , Applying appearance standards to light reection models, Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, 2001.
DOI : 10.1145/383259.383318

J. Wills, S. Agarwal, D. Kriegman, and S. Belongie, Toward a perceptual space for gloss, ACM Transactions on Graphics, vol.28, issue.4, p.4110315, 2009.
DOI : 10.1145/1559755.1559760