Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension
Reexamination Certificate
2005-03-22
2009-12-15
Nguyen, Kimbinh T (Department: 2628)
Computer graphics processing and selective visual display system
Computer graphics processing
Three-dimension
C345S419000, C382S118000, C382S154000, C382S190000, C382S224000
Reexamination Certificate
active
07633503
ABSTRACT:
Computer graphics image rendering techniques render images using a precomputed radiance transfer (PRT) to model local effects such as bumps, wrinkles, or other detailed features on an arbitrarily deformable model's surface. The techniques apply zonal harmonics (ZH) which approximate spherical functions as sums of circularly symmetric functions around different axes. By spatially varying both the axes and coefficients of these basis functions, approximations can fit to spatially varying transfer signals. Compared to the spherical harmonic (SH) basis, the ZH basis yields a more compact approximation, and can be rotated at a low computational expense suitable for dense per-vertex or per-pixel evaluation. This allows PRT to be mapped onto deforming models which re-orient the local coordinate frame.
REFERENCES:
patent: 6853745 (2005-02-01), Jacobs et al.
Peter-Pike Sloan, Jan Kautz, John Snyder, “Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environments”, International Conference on Computer Graphics and Interactive Techniques, Proceedings of the 29th annual conference on Computer graphics and interactive techniques, pp. 527-536, Year of Pub: 2002.
E.T. Whittaker & G.N. Watson, “A Course of Modern Analysis”, Jun. 18, 1927, Cambridge University Press, 4thEdition.
Calvert, “Spherical Harmonics,” http://mysite.du.edu/˜jcalvert/math/harmonic/harmonic.htm, 5 pages, printed from Internet on Jan. 16, 2008, last revised Mar. 12, 2001.
Weinstein, “Spherical Harmonic,” Wolfram Research, http://mathworld.wolfram.com/Spherical/Harmonic.html, 6 pages, printed from Internet on Jan. 18, 2008, last updated on Jan. 12, 2008.
Weinstein, “Zonal Harmonic,” Wolfram Research, http://mathworld.wolfram.com/ZonalHarmonic.html, 2 pages, printed from Internet on Jan. 16, 2008, last updated Jan. 12, 2008.
Ashikhmin, “Steerable Illumination Textures”,ACM Transactions on Graphics, vol. 21, No. 1, pp. 1-19 (Jan. 2002).
Choi et al., “Rapid and Stable Determination of Rotation Matrices Between Spherical Harmonics by Direct Recursion”,The Journal of Chemical Physics, vol. 111, No. 19, pp. 8825-8831 (Nov. 1999).
Cook et al., “A Reflectance Model for Computer Graphics”,ACM Transaction on Graphics, vol. 1, No. 1, pp. 7-24 (Jan. 1982).
Heidrich et al., “Illuminating Micro Geometry Based on Precomputed Visibility”,SIGGRAPH 2000, pp. 455-464 (2000).
James et al., “Precomputing Interactive Dynamic Deformable Scenes”,SIGGRAPH 2003, pp. pp. 879-887 (2003).
Kautz et al., “Fast, Arbitrary BRDF Shading for Low-Frequency Lighting Using Spherical Harmonics”,Eurographics Workshop on Rendering, pp. 291-296 (2002).
Kautz et al., “Hemispherical Rasterization for Self-Shadowing of Dynamic Objects”,Proceedings of Eurographics Symposium on Rendering, pp. 179-184 (2004).
Liu et al., “All-Frequency Precomputed Radiance Transfer for Glossy Objects”,Proceedings of Eurographics Symposium on Rendering(2004).
Malzbender, “Polynomial Texture Maps”,SIGGRAPH, pp. 519-528 (2001).
McCallister et al., “Efficient Rendering of Spatial Bi-directional Reflectance Distribution Functions”,Graphics Hardware, pp. 171-178 (2002).
Miller, “Efficient Algorithms for Local and Global Accessibility Shading”,SIGGRAPH, pp. 319-326 (1994).
Müller, “Fast Environmental Lighting for Local-PCA Encoded BTF's”,Computer Graphics International, pp. 198-205 (2004).
Ng et al., “All-Frequency Shadows Using Non-linear Wavelet Lighting Approximation”SIGGRAPH, pp. 376-381 (2003).
Ramamoorthi et al., “An Efficient Representation for Irradiance Environment Maps”,SIGGRAPH, pp. 497-500 (2001).
Sloan et al., “Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environments”,SIGGRAPH, pp. 527-536 (2003).
Sloan et al., “Clustered Principal Components for Precomputed Radiance Transfer”,SIGGRAPH, pp. 382-391 (2003).
Sloan et al., “Bi-Scale Radiance Transfer”,SIGGRAPH, pp. 370-375 (2003).
Wang et al., “All-Frequency Relighting of Non-Diffuse Objects Using Separable BRDF Approximation”,Eurographics Symposium on Rendering(2004).
Westin et al., “Predicting Reflectance Functions from Complex Surfaces”,SIGGRAPH, pp. 255-272 (1992).
Mathworld, “Spherical Harmonic”, pp. 1-11,Downloaded from the Internet, Feb. 17, 2005.
Luna Ben F.
Sloan Peter-Pike J.
Snyder John M.
Klarquist & Sparkman, LLP
Microsoft Corporation
Nguyen Kimbinh T
LandOfFree
Local, deformable precomputed radiance transfer does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Local, deformable precomputed radiance transfer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local, deformable precomputed radiance transfer will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-4058574