Precomputed radiance transfer for rendering objects

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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Reexamination Certificate

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07061489

ABSTRACT:
The described systems and methods are directed at interactively rendering graphics using precomputed radiance transfer (PRT). A reflectance matrix that represents the reflectance of a particular object to be rendered is determined. Source lighting associated with the object is represented using basis functions. The reflectance matrix is factored into view and light components. A raw transfer matrix is determined based, in part, from the factored reflectance matrix and the source lighting. The raw transfer matrix is partitioned to obtain transfer matrices, which are used to render the object. The described systems and methods are capable of rendering glossy objects with well-defined shadows.

REFERENCES:
patent: 6919889 (2005-07-01), Grzeszczuk et al.
Jan Kautz, Michael McCool, “Interactive Rendering with Arbitrary BRDFs using Separable Approximations,” Jun. 21, 1999, in Proceedings of the 10th Eurographics Workshop on Rendering.
Jan Kautz, Peter-Pike Sloan, John Snyder, “Fast, Arbitrary BRDF Shading for Low-Frequency Lighting Using Spherical Harmonics,” Jun. 26, 2002, in Proceedings of the 13th Eurographics Workshop on Rendering.
Peter-Pike Sloan, Jan Kautz, John Snyder, “Precomputed Radiance Transfer for Real-Time Rendering in Dynamic, Low-Frequency Lighting Environment,” Jul. 21, 2002, in Proceedings ACM SIGGRAPH 02, p. 527-536.
Ren Ng, Ravi Ramamoorthi, Pat Hanrahan, “All-frequency Shadows Using Non-linear Wavelet Lighting Approximation,” Jul. 2003, ACM Transactions on Graphics (TOG), v.22 n.3.
Hendrik P. A. Lensch, Jan Kautz, Michael Gosele, Wolfgang Heidrich, and Hans-Peter Seidel, “Image-Based Reconstruction of Spatially Varying Materials,” 2001, Rendering Techniques, p. 104-115.
Nandakishore Kambhatla, Todd K. Leen, “Dimension Reduction by Local Principal Component Analysis,” 1997, Neural Computation, v. 9, p. 1493-1516.

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