I. Cornell, B. , .. Cook-torrance, and B. , 28 III.15The half/difference-angle parameterization 30 III.17The local coordinate system 30 III.18The geometry of reflection, 29 III.16A 2D factorization 31 III.19The vectors and angles for the albedo corrected Ward-Dür model. . . . . . 32 III.20Vectors for the 34 III.22Comparison between several analytical models for beige-fabric. . . . . . . 38 III.23Comparison between several analytical models for fruitwood-241. . . . . . 39 III.24Comparison between several analytical models for chrome, p.39

B. Input, 50 IV.10 Combining bandwidth estimates from sampled incident directions 54 IV.12 Up-sampling interpolation scheme, p.56

O. Fresnel and A. , 72 V.8 Uniform and importance sampling for specular-violet-phenolic, p.73

B. Comparison-between and .. Models-for-aventurine, 75 V.10 Comparison between BRDF models for colonial-maple-223, p.78

A. and F. For-natural-209......, 80 V.14 The influence of D, G, and F parameters for beige, 82 V.16 The influence of D, G, and F parameters for specular-violet-phenolic. . . . 83 V.17 Fitting errors of the SGD distribution with different fitting methods. . . . . 84

.. Hardware-accelerated-rendering, 14 III.3.5.1 The rendering pipeline

A. Taxonomy-of, P. Ashikhmin, and . Shirley, An Anisotropic Phong BRDF Model, Journal of Graphics Tools, vol.23, issue.37, pp.25-32, 2000.

A. Barsi, L. Szirmay-kalos, and G. Szijártó, Stochastic glossy global illumination on the GPU, Proceedings of the 21st spring conference on Computer graphics , SCCG '05, pp.187-193, 2005.
DOI : 10.1145/1090122.1090153

J. Ezra, B. Wang, X. Wilburn, L. Li, and . Ma, An LED-only BRDF measurement device, Computer Vision and Pattern Recognition, 2008.

F. James and . Blinn, Models of light reflection for computer synthesized pictures, ACM SIGGRAPH Computer Graphics, vol.11, issue.37, pp.192-198, 1977.

]. M. Born and E. Wolf, Principles of Optics, 1998.
DOI : 10.1017/CBO9781139644181

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

]. G. Brown, Shadowing by non-Gaussian random surfaces, IEEE Transactions on Antennas and Propagation, vol.28, issue.6, pp.788-790, 1980.
DOI : 10.1109/TAP.1980.1142437

]. Camahort, A. Lerios, and D. Fussell, Uniformly Sampled Light Fields Rapport technique, 1998.
DOI : 10.1007/978-3-7091-6453-2_11

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.8182

J. Chai, X. Tong, S. Chan, and H. Shum, Plenoptic sampling, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.307-318, 2000.
DOI : 10.1145/344779.344932

L. Luc-claustres, M. Barthe, and . Paulin, Wavelet encoding of BRDFs for real-time rendering, Proceedings of Graphics Interface 2007 on , GI '07, pp.169-176, 2007.
DOI : 10.1145/1268517.1268546

L. Robert, K. E. Cook, and . Torrance, A reflectance model for computer graphics, ACM SIGGRAPH Computer Graphics, vol.15, issue.3, pp.307-316, 1981.

]. R. Cook and K. E. Torrance, A Reflectance Model for Computer Graphics, ACM Transactions on Graphics, vol.1, issue.1, pp.7-24, 1982.
DOI : 10.1145/357290.357293

C. Dachsbacher and M. Stamminger, Reflective shadow maps, Proceedings of the 2005 symposium on Interactive 3D graphics and games , SI3D '05, pp.203-231, 2005.
DOI : 10.1145/1053427.1053460

J. Kristin, J. Dana, and . Wang, Device for convenient measurement of spatially varying bidirectional reflectance, Journal of the Optical Society of America, vol.21, issue.1, pp.1-12, 2004.

P. Debevec, T. Hawkins, C. Tchou, H. Duiker, W. Sarokin et al., Acquiring the reflectance field of a human face, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.145-156, 2000.
DOI : 10.1145/344779.344855

Y. Dong, J. Wang, X. Tong, J. Snyder, Y. Lan et al., Manifold bootstrapping for SVBRDF capture, ACM Transactions on Graphics, vol.29, issue.98, pp.1-98, 2010.

F. Durand, N. Holzschuch, C. Soler, E. Chan, and F. X. Sillion, A frequency analysis of light transport, ACM Transactions on Graphics, vol.24, issue.3, pp.1115-1126, 2005.
DOI : 10.1145/1073204.1073320

URL : https://hal.archives-ouvertes.fr/inria-00379363

K. Egan, Y. Tseng, N. Holzschuch, F. Durand, and R. Ramamoorthi, Frequency analysis and sheared reconstruction for rendering motion blur, ACM Transactions on Graphics, vol.28, issue.3, pp.1-93, 2009.
DOI : 10.1145/1531326.1531399

URL : https://hal.archives-ouvertes.fr/inria-00388461

]. Everitt, Interactive Order-Independent Transparency Rapport technique , NVIDIA, 2001.

S. Kayvon-fatahalian, J. Boulos, K. Hegarty, W. R. Akeley, H. Mark et al., Reducing shading on GPUs using quad-fragment merging, ACM Transactions on Graphics, vol.29, issue.4, pp.1-678, 2010.
DOI : 10.1145/1778765.1778804

P. Richard and . Feynman, QED: The Strange Theory of Light and Matter, 1988.

P. Gautron, J. K?ivánek, K. Bouatouch, and S. Pattanaik, Radiance cache splatting: a GPU-friendly global illumination algorithm, ACM SIGGRAPH 2008 classes, SIGGRAPH '08, pp.1-78, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00461529

D. Geisler-moroder and A. Dür, A New Ward BRDF Model with Bounded Albedo, Computer Graphics Forum, vol.23, issue.6, pp.1391-1398, 2010.
DOI : 10.1111/j.1467-8659.2010.01735.x

]. Ghosh, T. Chen, P. Peers, C. A. Wilson, and P. Debevec, Circularly polarized spherical illumination reflectometry, ACM Transactions on Graphics, vol.29, issue.6, pp.1-162, 2010.
DOI : 10.1145/1882261.1866163

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.221.349

]. Ghosh, W. Heidrich, S. Achutha, O. Matthew, and . Toole, A Basis Illumination Approach to BRDF Measurement, International Journal of Computer Vision, vol.24, issue.3, pp.183-197, 2010.
DOI : 10.1007/s11263-008-0151-7

A. S. Glassner, Principles of digital image synthesis, 1994.

J. Steven, R. Gortler, R. Grzeszczuk, M. F. Szeliski, and . Cohen, The lumigraph, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, SIGGRAPH '96, pp.43-54, 1996.

]. J. Hammersley and D. C. Handscomb, Monte Carlo Methods (Methuen's Monographs on Applied Probability & Statistics), 1965.

X. D. He, K. E. Torrance, X. François, D. P. Sillion, and . Greenberg, A comprehensive physical model for light reflection, ACM SIGGRAPH Computer Graphics, vol.25, issue.4, pp.175-186, 1991.
DOI : 10.1145/127719.122738

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

M. B. Hullin, J. Hanika, B. Ajdin, H. Kautz, and H. P. Lensch, Acquisition and analysis of bispectral bidirectional reflectance and reradiation distribution functions, ACM Transactions on Graphics, vol.29, issue.4, pp.1-97, 2010.
DOI : 10.1145/1778765.1778834

]. Jensen, Global Illumination using Photon Maps, Eurographics Workshop on Rendering, pp.21-30, 1996.
DOI : 10.1007/978-3-7091-7484-5_3

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.36.8082

T. James and . Kajiya, The rendering equation, SIGGRAPH Computer Graphics, vol.20, issue.4, pp.143-150, 1986.

H. Malvin, P. A. Kalos, and . Whitlock, Monte Carlo methods, J. Wiley & Sons, 1986.

M. D. Kautz and . Mccool, Interactive rendering with arbitrary BRDFs using separable approximations, ACM SIGGRAPH 99 Conference abstracts and applications, SIGGRAPH '99, p.253, 1999.

M. D. Kautz and . Mccool, Approximation of Glossy Reflection with Prefiltered Environment Maps, Proceedings Graphics Interface 2000, pp.119-126, 2000.

J. Koenderink, A. J. Van-doorn, K. J. Dana, and S. Nayar, Bidirectional reflection distribution function expressed in terms of surface scattering modes, International Journal of Computer Vision, vol.31, pp.28-39, 1996.
DOI : 10.1007/3-540-61123-1_125

E. P. Lafortune, E. P. Lafortune, E. P. Lafortune, Y. D. Willems, and Y. D. Willems, Rendering Participating Media with Bidirectional Path Tracing, Eurographics Workshop on Rendering, pp.91-100, 1996.
DOI : 10.1007/978-3-7091-7484-5_10

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.9640

P. F. Eric, S. Lafortune, K. E. Foo, D. P. Torrance, and . Greenberg, Non-linear approximation of reflectance functions, Proceedings of the 24th annual conference on Computer graphics and interactive techniques, SIGGRAPH '97, pp.117-126, 1997.

P. Lalonde, A. Lalonde, and . Fournier, Filtered Local Shading in the Wavelet Domain, Eurographics Workshop on Rendering, pp.163-174, 1997.
DOI : 10.1007/978-3-7091-6858-5_15

L. Lutz and A. Kolb, Homomorphic factorization of BRDF-based lighting computation, Proceedings of the 29th annual conference on Computer graphics and interactive techniques, SIGGRAPH '02, pp.509-516, 2002.

]. Lawrence, S. Rusinkiewicz, and R. Ramamoorthi, Adaptive Numerical Cumulative Distribution Functions for Efficient Importance Sampling, Eurographics Symposium on Rendering, 2005.

M. Levoy and P. Hanrahan, Light field rendering, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques , SIGGRAPH '96, pp.31-42, 1996.
DOI : 10.1145/237170.237199

R. Robert and . Lewis, Making Shaders More Physically Plausible, Computer Graphics Forum, vol.13, issue.2, pp.109-120, 1994.

]. Li, S. Choong-foo, K. E. Torrance, and S. H. Westin, Automated three-axis gonioreflectometer for computer graphics applications, In Optical Engineering, p.2006, 2005.
DOI : 10.1117/1.2192787

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.3311

M. Mcguire and D. Luebke, Hardware-accelerated global illumination by image space photon mapping, Proceedings of the 1st ACM conference on High Performance Graphics, HPG '09, 2009.
DOI : 10.1145/1572769.1572783

A. Munoz, J. I. Echevarria, F. Seron, J. Lopez-moreno, M. Glencross et al., BSSRDF Estimation from Single Images, Computer Graphics Forum, vol.23, issue.8, pp.455-464, 2011.
DOI : 10.1111/j.1467-8659.2011.01873.x

]. J. Murray-coleman-1990, A. M. Murray-coleman, and . Smith, The Automated Measurement of BRDFs and their Application to Luminaire Modeling, Journal of the Illuminating Engineering Society, vol.19, issue.1, pp.87-99, 1990.
DOI : 10.1080/00994480.1990.10747944

A. Ngan, F. Durand, and W. Matusik, Experimental Analysis of BRDF Models, Eurographics Workshop on Rendering, pp.117-126, 2005.

]. Ngan, Acquisition and modeling of material appearance, 2006.

G. Nichols and C. Wyman, Multiresolution splatting for indirect illumination, Proceedings of the 2009 symposium on Interactive 3D graphics and games, I3D '09, pp.83-90, 2009.
DOI : 10.1145/1507149.1507162

]. Nichols, R. Penmatsa, and C. Wyman, Interactive, Multiresolution Image-Space Rendering for Dynamic Area Lighting, Computer Graphics Forum, vol.28, issue.4, pp.1279-1288, 2010.
DOI : 10.1111/j.1467-8659.2010.01723.x

G. Nichols and C. Wyman, Interactive Indirect Illumination Using Adaptive Multiresolution Splatting, IEEE Transactions on Visualization and Computer Graphics, vol.16, issue.5, pp.729-741, 2010.
DOI : 10.1109/TVCG.2009.97

]. F. Nicodemus, J. C. Richmond, J. J. Hsia, I. W. Ginsberg, and T. Limperis, Radiometry. chapitre Geometrical considerations and nomenclature for reflectance, pp.94-145, 1992.

A. V. Oppenheim and R. W. Schafer, Digital Signal Processing, IEEE Transactions on Systems, Man, and Cybernetics, vol.8, issue.2, 1975.
DOI : 10.1109/TSMC.1978.4309917

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

J. Peiran-ren, J. Wang, X. Snyder, B. Tong, and . Guo, Pocket reflectometry, ACM Transactions on Graphics, vol.30, issue.45, pp.1-45, 2011.

]. T. Ritschel, T. Engelhardt, T. Grosch, H. Seidel, J. Kautz et al., Micro-rendering for scalable, parallel final gathering, ACM Transactions on Graphics, vol.28, issue.132, pp.1-1328, 2009.
DOI : 10.1145/1618452.1618478

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.230.4186

]. Saito and T. Takahashi, Comprehensible rendering of 3-D shapes, ACM SIGGRAPH Computer Graphics, vol.24, issue.4, pp.197-206, 1990.
DOI : 10.1145/97880.97901

]. B. Segovia, J. C. Iehl, R. Mitanchey, and B. Péroche, Non-interleaved deferred shading of interleaved sample patterns, Proceedings of the 21st ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware, GH '06, pp.53-60, 2006.
DOI : 10.1145/1283900.1283909

J. Shopf, G. Nichols, and C. Wyman, Hierarchical Image-Space Radiosity for Interactive Global Illumination, Computer Graphics Forum, vol.28, issue.17, pp.1141-1149, 2009.

S. Peter-pike, J. Kautz, and . Snyder, Precomputed radiance transfer for real-time rendering in dynamic, low-frequency lighting environments, ACM Transactions on Graphics, vol.21, issue.43, pp.527-536, 2002.

K. Soler, F. Subr, and . Durand, Fourier depth of field, ACM Transactions on Graphics, vol.28, issue.2, pp.1-18, 2009.
DOI : 10.1145/1516522.1516529

URL : https://hal.archives-ouvertes.fr/inria-00345902

]. J. Spanier and E. M. Gelbard, Monte Carlo principles and neutron transport problems. Addison-Wesley series in computer science and information processing, 1969.

]. K. Torrance and E. M. 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

]. T. Trowbridge and K. P. 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. Veach and L. J. Guibas, Optimally combining sampling techniques for Monte Carlo rendering, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques , SIGGRAPH '95, pp.419-428, 1995.
DOI : 10.1145/218380.218498

]. B. Walter, S. Marschner, H. Li, and K. E. Torrance, Microfacet models for refraction through rough surfaces, Eurographics Symposium on Rendering, pp.34-36, 2007.

]. Wang, R. Wang, K. Zhou, M. Pan, and H. Bao, An efficient GPU-based approach for interactive global illumination, ACM Transactions on Graphics, vol.288, issue.91, pp.1-91, 2009.

J. Gregory, F. M. Ward, R. D. Rubinstein, and . Clear, A ray tracing solution for diffuse interreflection, SIGGRAPH Computer Graphics, vol.22, issue.4, pp.85-92, 1988.

J. Gregory and . Ward, Measuring and modeling anisotropic reflection, ACM SIGGRAPH Computer Graphics, vol.26, issue.2, pp.265-272, 1992.

J. Gregory, P. S. Ward, and . Heckbert, Irradiance Gradients, pp.85-98, 1992.

H. Stephen, J. R. Westin, K. E. Arvo, and . Torrance, Predicting reflectance functions from complex surfaces, ACM SIGGRAPH Computer Graphics, vol.26, issue.2, pp.255-264, 1992.