J. Amanatides, Algorithms for the detection and elimination of specular aliasing, Proceedings of the Conference on Graphics Interface '92, pp.86-93, 1992.

S. Michael-ashikmin, P. Premo?e, and . Shirley, A microfacet-based BRDF generator, Proceedings of ACM SIGGRAPH' 00, pp.65-74, 2000.

M. Ashikhmin and P. Shirley, An Anisotropic Phong BRDF Model, Journal of Graphics Tools, vol.26, issue.4, pp.25-32, 2000.
DOI : 10.1080/10867651.2000.10487522
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.18.4558

[. Ashikhmin, Distribution-based BRDFs, 2007.

[. Baker, Spectacular specular ? LEAN and CLEAN specular highlights, Proc. Game Developer Conference 2011, 2011.

G. Bourlier and . Berginc, Shadowing function with single reflection from anisotropic Gaussian rough surface. Application to Gaussian, Lorentzian and sea correlations, Waves in Random and Complex Media, pp.27-58, 2003.
DOI : 10.1109/36.752222

G. [. Bourlier, J. Berginc, and . 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

B. Burley and D. Lacewell, Ptex: Per-Face Texture Mapping for Production Rendering, Proceedings of the Eurographics Symposium on Rendering, pp.1155-1164, 2008.
DOI : 10.1111/j.1467-8659.2008.01253.x

J. F. Blinn, Models of light reflection for computer synthesized pictures, ACM SIGGRAPH Computer Graphics, vol.11, issue.2, pp.192-198, 1977.
DOI : 10.1145/965141.563893

G. Barry, N. L. Becker, and . Max, Smooth transitions between bump rendering algorithms, Proceedings of ACM SIGGRAPH '93, pp.183-190, 1993.

T. [. Bergner, D. Moller, D. J. Weiskopf, and . Muraki, A Spectral Analysis of Function Composition and its Implications for Sampling in Direct Volume Visualization, IEEE Transactions on Visualization and Computer Graphics, vol.12, issue.5, pp.1353-1360, 2006.
DOI : 10.1109/TVCG.2006.113

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

E. Bruneton and F. Neyret, Real-time Realistic Rendering and Lighting of Forests, Computer Graphics Forum, vol.32, issue.6, pp.31373-382, 2012.
DOI : 10.1111/j.1467-8659.2012.03016.x
URL : https://hal.archives-ouvertes.fr/hal-00650120

[. Bruneton, F. Neyret, and N. Holzschuch, Real-time Realistic Ocean Lighting using Seamless Transitions from Geometry to BRDF, Computer Graphics Forum, vol.26, issue.2, pp.487-496, 2010.
DOI : 10.1111/j.1467-8659.2009.01618.x
URL : https://hal.archives-ouvertes.fr/inria-00443630

]. G. Bro80 and . Brown, Shadowing by non-gaussian random surfaces, IEEE Trans. on Antennas and Propagation, vol.28, issue.6, pp.788-790, 1980.

A. [. Beckmann and . Spizzichino, The scattering of electromagnetic waves from rough surfaces. International series of monographs on electromagnetic waves, 1963.

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 Accurate fitting of measured reflectances using a Shifted Gamma micro-facet distribution, Mahdi, Cyril Soler, and Nicolas Holzschuch, pp.311509-1518, 2000.

M. Bunnel, [. L. Cook, and K. E. Torrance, Adaptive tessellation of subdivision surfaces with displacement mapping GPU-based importance sampling A reflectance model for computer graphics, GPU Gems 2. 2005. [CK07] Mark Colbert and Jaroslav K?ivánek GPU Gems 3, pp.7-24, 1982.

C. Dachsbacher, Interactive Terrain Rendering : Towards Realism with Procedural Models and Graphics Hardware, 2006.

P. Debevec, Image-based lighting, ACM SIGGRAPH 2005 Courses, SIGGRAPH '05, 2005. [DHI + 13

J. 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, p.2013
DOI : 10.1145/2508363.2508422
URL : https://hal.archives-ouvertes.fr/hal-00858220

A. Fournier, Normal distribution functions and multiple surfaces Graphics gems iv. chapter, Graphics Interface '92 Workshop on Local Illumination, pp.45-52, 1992.

I. Georgiev, J. K?ivánek, T. Davidovi?, and P. Slusallek, Light transport simulation with vertex connection and merging [Gre07] Chris Green. Efficient self-shadowed radiosity normal mapping, ACM SIGGRAPH 2007 Courses, SIGGRAPH '07, pp.1-192, 2007.

W. Griffin, Y. Wang, D. Berrios, and M. Olano, Real-Time GPU Surface Curvature Estimation on Deforming Meshes and Volumetric Data Sets, Waves in Random and Complex Media, pp.1603-1613318, 2012.
DOI : 10.1109/TVCG.2012.113

C. John, N. Hart, M. Carr, S. A. Kameya, T. J. Tibbitts et al., Antialiased parameterized solid texturing simplified for consumer-level hardware implementation, Proceedings of ACM SIGGRAPH / Eurographics Workshop on Graphics Hardware, pp.45-53, 1999.

E. Heitz and E. D. Eon, Importance Sampling Microfacet-Based BSDFs using the Distribution of Visible Normals Understanding the masking-shadowing function in microfacet-based BRDFs, Proceedings of the Sixteenth Eurographics Conference on Rendering Techniques, 2014. [Hei14] E. Heitz, p.2014

E. Heitz and F. Neyret, Representing appearance and pre-filtering subpixel data in sparse voxel octrees, Proceedings of the Fourth ACM SIGGRAPH / Eurographics Conference on High-Performance Graphics, pp.125-134, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00704461

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, pp.129-136, 2013.
DOI : 10.1145/2448196.2448217
URL : https://hal.archives-ouvertes.fr/hal-00765799

E. Heitz, D. Nowrouzezahrai, P. Poulin, and F. Neyret, Filtering Non-Linear Transfer Functions on Surfaces, IEEE Trans. on Visualization and Computer Graphics, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00876432

[. Hachisuka, J. Pantaleoni, and H. W. Jensen, A path space extension for robust light transport simulation, ACM Transactions on Graphics, vol.31, issue.6, pp.1-19110, 2012.
DOI : 10.1145/2366145.2366210

M. Hadwiger, R. Sicat, J. Beyer, J. Krüger, and T. Möller, Sparse PDF maps for non-linear multi-resolution image operations, ACM Transactions on Graphics, vol.31, issue.6, pp.1-13312, 2012.
DOI : 10.1145/2366145.2366152

C. Han, B. Sun, R. Ramamoorthi, and E. Grinspun, Frequency domain normal map filtering, Proceedings of ACM SIGGRAPH '07, 2007.
DOI : 10.1145/1275808.1276412

W. Heidrich, P. Slusallek, and H. Seidel, Sampling procedural shaders using affine arithmetic, ACM Transactions on Graphics, vol.17, issue.3, pp.158-176, 1998.
DOI : 10.1145/285857.285859
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.66.5337

X. D. He, K. E. Torrance, F. X. Sillion, and D. P. Greenberg, A comprehensive physical model for light reflection, Proceedings of ACM SIGGRAPH '91, pp.175-186, 1991.
URL : https://hal.archives-ouvertes.fr/inria-00510144

R. Habel and M. Wimmer, Efficient irradiance normal mapping, Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, I3D 10, pp.189-195, 2005.
DOI : 10.1145/1730804.1730835
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.9802

A. Jakob, J. T. Arbree, K. Moon, S. Bala, and . Marschner, A radiative transfer framework for rendering materials with anisotropic structure, ACM Trans. Graph, vol.2953, issue.4, pp.1-5313, 2010.

W. Jakob, E. D. Eon, O. Jakob, and S. Marschner, A comprehensive framework for rendering layered materials, Proceedings of ACM SIGGRAPH '14, p.2014
DOI : 10.1145/2601097.2601139

J. T. Kajiya, The rendering equation, Proceedings of ACM SIGGRAPH '86, pp.143-150, 1986.

J. K?ivánek and M. Colbert, Real-time Shading with Filtered Importance Sampling, Proceedings of the Eurographics Symposium on Rendering, pp.1147-1154, 2008.
DOI : 10.1111/j.1467-8659.2008.01252.x

A. Keller, Instant radiosity, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.49-56, 1997.
DOI : 10.1145/258734.258769

I. K?ivánek, T. Georgiev, P. Hachisuka, M. Vévoda, D. Sik et al., Unifying points, beams, and paths in volumetric light transport simulation, Eurographics Short Presentations, pp.1-13, 2001.
DOI : 10.1145/2601097.2601219

M. Kurt, L. Szirmay-kalos, and J. K?ivánek, An anisotropic BRDF model for fitting and Monte Carlo rendering, ACM SIGGRAPH Computer Graphics, vol.44, issue.1, pp.1-3, 2010.
DOI : 10.1145/1722991.1722996

]. J. Lam60 and . Lambert, Photometria sive de mensura et gradibus luminis

A. Lagae and G. Drettakis, Filtering solid gabor noise, ACM Trans. Graph, vol.3051, issue.4, pp.1-51, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00606907

R. R. Lewis, Making Shaders More Physically Plausible, Fourth Eurographics Workshop on Rendering, pp.47-62, 1994.
DOI : 10.1111/1467-8659.1320109

P. F. Eric, S. Lafortune, K. E. Foo, D. P. Torrance, and . Greenberg, Nonlinear approximation of reflectance functions, Proceedings of ACM SIGGRAPH '97, pp.117-126, 1997.

S. Ares-lagae, R. Lefebvre, T. Cook, G. Derose, D. S. Drettakis et al., A survey of procedural noise functions, Computer Graphics Forum, issue.8, pp.292579-2600, 2010.

A. Lagae, S. Lefebvre, G. Drettakis, and P. Dutré, Procedural noise using sparse gabor convolution, In ACM Trans. Graph, vol.54, pp.1-10, 2009.
DOI : 10.1145/1531326.1531360
URL : https://hal.archives-ouvertes.fr/inria-00606821

B. David-luebke, J. D. Watson, M. Cohen, A. Reddy, and . Varshney, Level of Detail for 3D Graphics, 2002.

G. Mctaggart, Half-life 2 / valve source shading, Proc. Game Developer Conference, 2004.

W. Ma, S. Chao, Y. Tseng, Y. Chuang, C. Chang et al., Level-of-detail representation of bidirectional texture functions for real-time rendering, Proceedings of the 2005 symposium on Interactive 3D graphics and games , SI3D '05, pp.187-194, 2005.
DOI : 10.1145/1053427.1053458

S. Stephen-mcauley, N. Hill, Y. Hoffman, B. Gotanda, B. Smits et al., Practical physically-based shading in film and game production, ACM SIGGRAPH 2012 Courses, SIGGRAPH '12, pp.1-7, 2012.

]. S. Mhm-+-13, S. Mcauley, A. Hill, R. Martinez, M. Villemin et al., Physically based shading in theory and practice, ACM SIGGRAPH 2013 Courses, SIGGRAPH '13, pp.1-8, 2013.

R. Sylvain-meunier, L. Perrot, D. Aveneau, D. Meneveaux, and . Ghazanfarpour, Cosine lobes for interactive direct lighting in dynamic scenes, Computers & Graphics, vol.34, issue.6, pp.767-778, 2009.
DOI : 10.1016/j.cag.2010.08.002

]. F. Mus02 and . Musgrave, Fractal solid textures : Some examples, Texturing and Modeling : A Procedural Approach, pp.447-487, 2002.

A. Ngan, F. Durand, and W. Matusik, Experimental analysis of BRDF models, Proceedings of the Sixteenth Eurographics Conference on Rendering Techniques, pp.117-126, 2005.

F. E. Nicodemus, Directional Reflectance and Emissivity of an Opaque Surface, Applied Optics, vol.4, issue.7, pp.767-775, 1965.
DOI : 10.1364/AO.4.000767

M. Olano and D. Baker, Lean mapping Automatic shader level of detail, Proceedings of ACM Symposium on Interactive 3D Graphics Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware, pp.181-188, 2003.

M. Oren and S. K. Nayar, Generalization of Lambert's reflectance model [Pea85] Darwyn R. Peachey. Solid texturing of complex surfaces, Proceedings of ACM SIGGRAPH '94 Proceedings of ACM SIGGRAPH '85, pp.239-246, 1985.

F. Pellacini, User-configurable automatic shader simplification, ACM Transactions on Graphics, vol.24, issue.3, pp.445-452, 2005.
DOI : 10.1145/1073204.1073212

K. Perlin, An image synthesizer, Proceedings of ACM SIGGRAPH '85, pp.287-296, 1985.

M. Pharr and G. Humphreys, Physically Based Rendering, Second Edition : From Theory To Implementation, 2010.

P. Bui-tuong, Illumination for computer generated pictures, Commun. ACM, vol.18, issue.6, pp.311-317, 1975.

[. Ross, D. Dion, and G. Potvin, Detailed analytical approach to the Gaussian surface bidirectional reflectance distribution function specular component applied to the sea surface, Journal of the Optical Society of America A, vol.22, issue.11, pp.222442-2453, 2005.
DOI : 10.1364/JOSAA.22.002442

R. Ramamoorthi and P. Hanrahan, An efficient representation for irradiance environment maps, Proceedings of the 28th annual conference on Computer graphics and interactive techniques , SIGGRAPH '01, pp.497-500, 2001.
DOI : 10.1145/383259.383317

G. Martin-rump, R. Müller, D. Sarlette, R. Koch, and . Klein, Photo-realistic rendering of metallic car paint from image-based measurements, Computer Graphics Forum, vol.27, issue.2, 2008.

[. Rhoades, G. Turk, A. Bell, A. State, U. Neumann et al., Real-time procedural textures, Proceedings of the 1992 symposium on Interactive 3D graphics , SI3D '92, pp.95-100, 1992.
DOI : 10.1145/147156.147171

[. Rusinkiewicz, A New Change of Variables for Efficient BRDF Representation, Rendering Techniques (Proc. Eurographics Workshop on Rendering), 1998.
DOI : 10.1007/978-3-7091-6453-2_2

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

A. Schilling, Antialiasing of Environment Maps, Computer Graphics Forum, vol.20, issue.1, pp.5-11, 2001.
DOI : 10.1111/1467-8659.00470

S. Suwelack, E. Heitz, R. Unterhinninghofen, and R. Dillmann, Adaptive GPU Ray Casting Based on Spectral Analysis, MIAR 2010 -5th International Workshop on Medical Imaging and Augmented Reality, pp.169-178, 2010.
DOI : 10.1007/978-3-642-15699-1_18
URL : https://hal.archives-ouvertes.fr/hal-00686463

L. Simonot, Photometric model of diffuse surfaces described as a distribution of interfaced Lambertian facets, Applied Optics, vol.48, issue.30, pp.5793-5801, 2009.
DOI : 10.1364/AO.48.005793

]. B. Smi67 and . Smith, Geometrical shadowing of a random rough surface, IEEE Trans. on Antennas and Propagation, vol.15, pp.668-671, 1967.

M. [. Saito, T. Shinya, and . Takahashi, Highlighting Rounded Edges, New Advances in Computer Graphics, pp.613-629, 1989.
DOI : 10.1007/978-4-431-68093-2_40

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

J. Stam, An Illumination Model for a Skin Layer Bounded by Rough Surfaces, Rendering Techniques, pp.39-52, 2001.
DOI : 10.1007/978-3-7091-6242-2_4

S. Tan, L. Lin, B. Quan, H. Guo, and . Shum, Multiresolution reflectance filtering, Proceedings of the Sixteenth Eurographics Conference on Rendering Techniques, pp.111-116, 2005.

S. Tan, L. Lin, B. Quan, H. Guo, and . Shum, Filtering and rendering of resolution-dependent reflectance models, IEEE Trans. on Visualization and Computer Graphics, vol.14, issue.2, pp.412-425, 2008.

M. Toksvig, Mipmapping Normal Maps, Journal of Graphics Tools, vol.10, issue.3, 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, pp.1105-1112, 1967.
DOI : 10.1364/JOSA.57.001105

[. Tanaka and T. Takahashi, Scientific visualization of physical phenomena. chapter Precise Rendering Method for Edge Highlighting, pp.283-298, 1991.

E. Veach, Robust Monte Carlo Methods for Light Transport Simulation, 1998.

M. Bram-van-ginneken, J. J. Stavridi, and . Koenderink, Diffuse and Specular Reflectance from Rough Surfaces, Applied Optics, vol.37, issue.1, pp.130-139, 1998.
DOI : 10.1364/AO.37.000130

R. J. Wagner, Shadowing of Randomly Rough Surfaces, The Journal of the Acoustical Society of America, vol.41, issue.1, pp.138-147, 1967.
DOI : 10.1121/1.1910308

G. J. Ward, Measuring and modeling anisotropic reflection, ACM SIGGRAPH Computer Graphics, vol.26, issue.2, pp.265-272, 1992.
DOI : 10.1145/142920.134078

H. Wu, J. Dorsey, and H. Rushmeier, Characteristic Point Maps, Computer Graphics Forum, vol.17, issue.3, pp.1227-1236, 2009.
DOI : 10.1111/j.1467-8659.2009.01500.x
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.225.9199

H. Wu, J. Dorsey, and H. Rushmeier, Physically-based interactive bi-scale material design, ACM Trans. Graph, vol.30, issue.145, p.12, 2011.
DOI : 10.1145/2070781.2024179

L. Williams, Pyramidal parametrics, Proceedings of ACM SIGGRAPH '83, pp.1-11, 1983.
DOI : 10.1145/800059.801126

S. [. Walter, H. Marschner, K. E. Li, and . Torrance, Microfacet models for refraction through rough surfaces, Proceedings of the Eurographics Symposium on Rendering, pp.195-206, 2007.

]. S. Wor02 and . Worley, Advanced antialiasing, Texturing and Modeling : A Procedural Approach, pp.157-176, 2002.

P. Wang, M. Ren, J. Gong, B. Snyder, and . Guo, All-frequency rendering of dynamic, spatially-varying reflectance, Proceedings of ACM SIGGRAPH Asia '09, pp.1-13310, 2009.

A. Weidlich and A. Wilkie, Arbitrarily layered micro-facet surfaces, Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia , GRAPHITE '07, pp.171-178, 2007.
DOI : 10.1145/1321261.1321292

. Xsd-+-13-]-kun, W. Xu, Z. Sun, D. Dong, R. Zhao et al., Anisotropic spherical gaussians, ACM Trans. Graph, vol.32209, issue.611, pp.1-209, 2013.

L. Yan, M. Ha?an, W. Jakob, J. Lawrence, S. Marschner et al., Rendering glints on high-resolution normal-mapped specular surfaces, Proceedings of ACM SIGGRAPH '14 2014. [Zhu03] Y. Zhu. Multisensor Decision and Estimation Fusion, 2003.
DOI : 10.1145/2601097.2601155

F. Figure, 8 ? A dielectric glass plate (n = 1.5) with isotropic Beckmann roughness (? = 0.4) on all faces (with the Smith masking function)

F. Figure, 10 ? A dielectric glass plate (n = 1.5) with anisotropic Beckmann roughness (? x = 0.03, ? y = 0.24) on all faces (with the Smith masking function)

F. Figure, 11 ? A dielectric glass plate (n = 1.5) with anisotropic Beckmann roughness (? x = 0.03, ? y = 0.48) on all faces (with the Smith masking function)

F. Figure, 14 ? A dielectric glass plate (n = 1.5) with isotropic GGX roughness (? = 0.4) on all faces (with the Smith masking function)

F. Figure, 15 ? A dielectric glass plate (n = 1.5) with isotropic GGX roughness (? = 0.8) on all faces (with the Smith masking function)

F. Figure, 16 ? A dielectric glass plate (n = 1.5) with anisotropic GGX roughness (? x = 0.05, ? y = 0.10) on all faces (with the Smith masking function)

F. Figure, 17 ? A dielectric glass plate (n = 1.5) with anisotropic GGX roughness (? x = 0.05, ? y = 0.20) on all faces (with the Smith masking function)