M. Ashikhmin and S. Premo?e, Distribution-based BRDFs, 2007.

M. Ashikhmin and P. Shirley, An Anisotropic Phong BRDF Model, Journal of Graphics Tools, vol.26, issue.4, pp.25-32, 2000.
DOI : 10.1111/1467-8659.1330233

URL : http://www.cs.utah.edu/~michael/brdfs/jgtbrdf.pdf

D. Baker, Spectacular Specular ? LEAN and CLEAN Specular Highlights, Proc. Game Developer Conference 2011, 2011.

C. Bourlier, G. Berginc, and J. Saillard, One- and two-dimensional shadowing functions for any height and slope stationary uncorrelated surface in the monostatic and bistatic configurations, IEEE Transactions on Antennas and Propagation, vol.50, issue.3, pp.312-324, 2002.
DOI : 10.1109/8.999622

P. Beckmann, Shadowing of random rough surfaces, IEEE Transactions on Antennas and Propagation, vol.13, issue.3, pp.384-388, 1965.
DOI : 10.1109/TAP.1965.1138443

J. F. Blinn, Models of Light Reflection for Computer Synthesized Pictures, Proc. SIG- GRAPH '77, pp.192-198, 1977.
DOI : 10.1145/965141.563893

G. Barry, N. L. Becker, and . Max, Smooth Transitions Between Bump Rendering Algorithms

E. Bruneton and F. Neyret, A Survey of Nonlinear Prefiltering Methods for Efficient and Accurate Surface Shading, IEEE Transactions on Visualization and Computer Graphics, vol.18, issue.2, pp.242-260, 2012.
DOI : 10.1109/TVCG.2011.81

URL : https://hal.archives-ouvertes.fr/inria-00589940

C. Bourlier, J. Saillard, and G. Berginc, Effect of correlation between shadowing and shadowed points on the Wagner and Smith monostatic one-dimensional shadowing functions, IEEE Transactions on Antennas and Propagation, vol.48, issue.3, pp.437-446, 2000.
DOI : 10.1109/8.841905

M. Bagher, C. Soler, and N. Holzschuch, Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution, Computer Graphics Forum, vol.115, issue.12, pp.1509-1518, 2012.
DOI : 10.1016/j.cviu.2011.05.012

URL : https://hal.archives-ouvertes.fr/hal-00702304

B. Burley, Physically-Based Shading at Disney Practical physically-based shading in film and game production, SIGGRAPH 2012 Courses, 2012.

M. Colbert and J. K?ivánek, GPU-based importance sampling, GPU Gems 3, 2007.

B. Cabral, N. Max, and R. Springmeyer, Bidirectional Reflection Functions from Surface Bump Maps, Proc. SIGGRAPH '87, pp.273-281, 1987.
DOI : 10.1145/37402.37434

R. L. Cook, Shade trees, Proc. SIGGRAPH '84, pp.223-231, 1984.
DOI : 10.1145/800031.808602

L. Robert, K. E. Cook, and . Torrance, A Reflectance Model for Computer Graphics, ACM Trans. on Graphics, vol.1, issue.1, pp.7-24, 1982.

J. Dupuy and E. Bruneton, Real-time animation and rendering of ocean whitecaps, SIGGRAPH Asia 2012 Technical Briefs on, SA '12, pp.1-3, 2012.
DOI : 10.1145/2407746.2407761

URL : https://hal.archives-ouvertes.fr/hal-00967078

[. Dupuy, E. Heitz, J. Iehl, P. Poulin, F. Neyret et al., Linear efficient antialiased displacement and reflectance mapping, ACM Transactions on Graphics, vol.32, issue.6, pp.2111-2122, 2013.
DOI : 10.1145/2508363.2508422

URL : https://hal.archives-ouvertes.fr/hal-00858220

[. Dupuy, E. Heitz, J. Iehl, P. Poulin, and V. Ostromoukhov, Extracting Microfacet-based BRDF Parameters from Arbitrary Materials with Power Iterations, Computer Graphics Forum, vol.27, issue.3, pp.21-30, 2015.
DOI : 10.1145/1360612.1360640

URL : https://hal.archives-ouvertes.fr/hal-01168516

J. Dupuy, J. Iehl, and P. Poulin, GPU Pro 5: Advanced Rendering Techniques , chapter Quadtrees on the GPU, 2014.

J. Dupuy, Phong Tessellation for Quads, 2014.

A. Fournier, Normal Distribution Functions and Multiple Surfaces, Proc. Graphics Interface '92 Workshop on Local Illumination, pp.45-52, 1992.

J. Filip and R. Vavra, Template-Based Sampling of Anisotropic BRDFs, Computer Graphics Forum, vol.27, issue.7, pp.91-99, 2014.
DOI : 10.1145/142920.134078

E. John, S. R. Gray, and . Addison, Characteristic Functions in Radar and Sonar, Proc. Southeastern Symposium on System Theory, pp.31-35, 2002.

E. Heitz and E. D. Eon, Importance Sampling Microfacet-Based BSDFs using the Distribution of Visible Normals, Computer Graphics Forum (Proc. Eurographics Symposium on Rendering), EGSR, pp.103-112, 2014.
DOI : 10.1145/142920.134078

URL : https://hal.archives-ouvertes.fr/hal-00996995

E. Heitz and J. Dupuy, Implementing a Simple Anisotropic Rough Diffuse Material with Stochastic Evaluation, 2015.

E. Heitz, J. Dupuy, C. Crassin, and C. Dachsbacher, The SGGX microflake distribution, ACM Transactions on Graphics, vol.34, issue.4, pp.1-11, 2015.
DOI : 10.1145/2614028.2615431

URL : https://hal.archives-ouvertes.fr/hal-01500955

S. Paul and . Heckbert, Fundamentals of Texture Mapping and Image Warping, 1989.

E. Heitz, Understanding the Masking-Shadowing Function in Microfacet-Based BRDFs, Journal of Computer Graphics Techniques (JCGT), vol.3, issue.2, pp.32-91, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00942452

S. Hill, S. Mcauley, J. Dupuy, Y. Gotanda, E. Heitz et al., Physically based Shading in Theory and Practice, SIGGRAPH 2014 Courses, pp.1-8
URL : https://hal.archives-ouvertes.fr/hal-01066241

E. Heitz, D. Nowrouzezahrai, P. Poulin, and F. Neyret, Filtering color mapped textures and surfaces, Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, I3D '13, 2013.
DOI : 10.1145/2448196.2448217

URL : https://hal.archives-ouvertes.fr/hal-00765799

X. D. He, K. E. Torrance, F. X. Sillion, and D. P. Greenberg, A Comprehensive Physical Model for Light Reflection, Proc. SIGGRAPH '91, pp.175-186, 1991.
DOI : 10.1145/127719.122738

URL : https://hal.archives-ouvertes.fr/inria-00510144

A. Jakob, J. T. Arbree, K. Moon, S. Bala, and . Marschner, A Radiative Transfer Framework for Rendering Materials with Anisotropic Structure, In ACM Trans. on Graphics, vol.53, issue.10, pp.1-13, 2010.
DOI : 10.1145/1833351.1778790

URL : http://www.cs.cornell.edu/projects/diffusion-sg10/diffusion-sg10-tr.pdf

W. Jakob, E. D. Eon, O. Jakob, and S. Marschner, A comprehensive framework for rendering layered materials, Proceedings of SIGGRAPH 2014), p.2014
DOI : 10.1016/S0022-4073(96)00108-2

J. Jimenez, J. I. Echevarria, T. Sousa, and D. Gutierrez, SMAA: Enhanced Morphological Antialiasing, Proc. EUROGRAPHICS 2012), pp.31-2012
DOI : 10.1111/j.1467-8659.2012.03014.x

URL : http://www.iryoku.com/smaa/downloads/SMAA-Enhanced-Subpixel-Morphological-Antialiasing.pdf

M. C. Jones, Student's simplest distribution, Journal of the Royal Statistical Society: Series D (The Statistician), vol.21, issue.1, pp.41-49, 2002.
DOI : 10.1080/03610919208813025

J. T. Kajiya, The Rendering Equation, Proc. of ACM SIGGRAPH '86, pp.143-150, 1986.
DOI : 10.1145/15886.15902

J. K?ivánek and M. Colbert, Real-time Shading with Filtered Importance Sampling, Proc. Eurographics Symposium on Rendering), pp.1147-1154, 2008.
DOI : 10.1145/133994.134078

M. Kurt and D. Edwards, A survey of BRDF models for computer graphics, ACM SIGGRAPH Computer Graphics, vol.43, issue.2, pp.1-7, 2009.
DOI : 10.1145/1629216.1629222

R. R. Lewis, Making Shaders More Physically Plausible, Computer Graphics Forum, vol.13, issue.2, pp.109-120, 1994.
DOI : 10.1111/1467-8659.1320109

URL : http://www-courses.cs.uiuc.edu/~cs319/phong-brdf.ps.Z

J. Löw, J. Kronander, A. Ynnerman, and J. Unger, BRDF Models for Accurate and Efficient Rendering of Glossy Surfaces, ACM Trans. on Graphics, vol.319, issue.1, pp.1-14, 2012.

E. Lukacs, A survey of the theory of characteristic functions, Advances in Applied Probability, vol.1, issue.01, pp.1-38, 1972.
DOI : 10.1090/S0002-9947-1935-1501802-5

. Wan-chun, S. Ma, Y. Chao, Y. Tseng, C. Chuang et al., Level-of-detail Representation of Bidirectional Texture Functions for Real-time Rendering, Proc. Symp. on Interactive 3D Graphics and Games, pp.187-194

W. Matusik, H. Pfister, M. Brand, and L. Mcmillan, A data-driven reflectance model, ACM Transactions on Graphics, vol.22, issue.3, pp.759-769, 2003.
DOI : 10.1145/882262.882343

URL : http://dspace.mit.edu/bitstream/1721.1/87454/2/54927347-MIT.pdf

R. Montes, S. , and C. U. Almagro, An Overview of BRDF Models, 2012.

A. Ngan, F. Durand, and W. Matusik, Experimental Analysis of BRDF Models, Proc. Eurographics Symposium on Rendering, EGSR, pp.117-226, 2005.
DOI : 10.1145/1186223.1186336

M. Niessner and C. Loop, Analytic Displacement Mapping Using Hardware Tessellation, ACM Trans. on Graphics, vol.3226, issue.3, pp.1-9, 2013.

M. Niessner, C. Loop, M. Meyer, and T. Derose, Feature-adaptive GPU Rendering of Catmull-Clark Subdivision Surfaces, ACM Trans. on Graphics, vol.316, issue.1, pp.1-11, 2012.

J. P. Nolan, Stable Distributions -Models for Heavy Tailed Data, progress, Chapter, 2013.

F. E. Nicodemus, J. C. Richmond, J. J. Hsia, W. I. Ginsberg, and T. Limperis, Geometrical Considerations and Nomenclature for Reflectance, Applied Optics, vol.9, pp.1474-1475, 1977.
DOI : 10.6028/NBS.MONO.160

URL : https://digital.library.unt.edu/ark:/67531/metadc171061/m2/1/high_res_d/Binder1.pdf

M. Oren and S. K. Nayar, Generalization of Lambert's reflectance model, Proceedings of the 21st annual conference on Computer graphics and interactive techniques , SIGGRAPH '94, pp.239-246, 1994.
DOI : 10.1145/192161.192213

URL : http://www1.cs.columbia.edu/~ravir/6998/papers/oren-nayar_siggraph94.ps.gz

O. Perron, Zur Theorie der Matrices, Mathematische Annalen, vol.64, issue.2, pp.248-263, 1907.
DOI : 10.1007/BF01449896

P. Poulin and A. Fournier, A model for anisotropic reflection, Proc. SIGGRAPH '90, pp.273-282, 1990.
DOI : 10.1145/97880.97909

URL : http://www.iro.umontreal.ca/~poulin/fournier/papers/Poulin-1990-MAR/Poulin-1990-MAR.pdf

P. Bui-tuong, Illumination for Computer Generated Pictures, Communications of the ACM, vol.18, issue.6, pp.311-317, 1975.

D. Andrei, . Polyanin, V. Alexander, and . Manzhirov, Handbook of Integral Equations, 2012.

M. Szymon and . Rusinkiewicz, A New Change of Variables for Efficient BRDF Representation, Rendering Techniques '98, pp.11-22, 1998.

C. Schlick, A Survey of Shading and Reflectance Models, Computer Graphics Forum, vol.13, issue.2, pp.121-131, 1994.
DOI : 10.1111/1467-8659.1320121

URL : http://www.labri.fr/Labri/Publications/Rapports-internes/RR-79494.ps.Z

C. Schlick, An Inexpensive BRDF Model for Physically-based Rendering, Computer Graphics Forum, vol.13, issue.3, pp.233-246, 1994.
DOI : 10.1111/1467-8659.1330233

URL : http://www.labri.fr/Labri/Publications/Rapports-internes/RR-79594.ps.Z

T. Schmidt, Coping with Copulas. Copulas?From Theory to Application in Finance, pp.3-34, 2007.

B. Smith, Geometrical shadowing of a random rough surface, IEEE Transactions on Antennas and Propagation, vol.15, issue.5, pp.668-671, 1967.
DOI : 10.1109/TAP.1967.1138991

J. Stam, Diffraction shaders, Proceedings of the 26th annual conference on Computer graphics and interactive techniques , SIGGRAPH '99, pp.101-110, 1999.
DOI : 10.1145/311535.311546

S. Tan, L. Lin, B. Quan, H. Guo, and . Shum, Multiresolution Reflectance Filtering, Proc. Eurographics Symposium on Rendering, EGSR'05, pp.111-116, 2005.

S. Tan, L. Lin, B. Quan, H. Guo, and . Shum, Filtering and Rendering of Resolution-Dependent Reflectance Models, IEEE Trans. Vis. Comput. Graph, vol.14, issue.2, pp.412-425, 2008.

M. Toksvig, Mipmapping Normal Maps, Journal of Graphics, GPU, and Game Tools, pp.65-71, 2005.
DOI : 10.1080/2151237X.2005.10129203

K. [. Trowbridge and . Reitz, Average irregularity representation of a rough surface for ray reflection, Journal of the Optical Society of America, vol.65, issue.5, pp.531-536, 1975.
DOI : 10.1364/JOSA.65.000531

E. [. Torrance and . Sparrow, Theory for Off-Specular Reflection From Roughened Surfaces*, Journal of the Optical Society of America, vol.57, issue.9
DOI : 10.1364/JOSA.57.001105

J. Gregory and . Ward, Measuring and Modeling Anisotropic Reflection, Proc. SIGGRAPH '92, pp.265-272, 1992.

H. Wu, J. Dorsey, and H. Rushmeier, Characteristic Point Maps, Proc. of Eurographics Symposium on Rendering), pp.1227-1236, 2009.
DOI : 10.1145/1275808.1276412

URL : http://graphics.cs.yale.edu/hongzhi/publications/CPM/CPM.pdf

L. Williams, Pyramidal Parametrics, Proc. SIGGRAPH '83, pp.1-11, 1983.
DOI : 10.1145/964967.801126

B. Walter, S. R. Marschner, H. Li, and K. E. Torrance, Microfacet Models for Refraction Through Rough Surfaces, Computer Graphics Forum (Proc. Eurographics Symposium on Rendering), EGSR, pp.195-206, 2007.

S. Wang, X. Zhao, J. Tong, B. Snyder, and . Guo, Modeling Anisotropic Surface Reflectance with Example-based Microfacet Synthesis, ACM Trans. on Graphics, vol.27, issue.3, pp.411-420, 2008.
DOI : 10.1145/1360612.1360640

URL : http://research.microsoft.com/en-us/people/johnsny/papers/aniso.pdf