Interactive rendering with arbitrary BRDFs using separable approximations

Authors:
Jan Kautz;Michael D. McCool
Affiliations:
Computer Graphics Laboratory, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada;Computer Graphics Laboratory, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada
Venue:
EGWR'99 Proceedings of the 10th Eurographics conference on Rendering
Year:
1999

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Abstract

A separable decomposition of bidirectional reflectance distributions (BRDFs) is used to implement arbitrary reflectances from point sources on existing graphics hardware. Two-dimensional texture mapping and compositing operations are used to reconstruct samples of the BRDF at every pixel at interactive rates. A change of variables, the Gram-Schmidt halfangle/difference vector parameterization, improves separability. Two decomposition algorithms are also presented. The singular value decomposition (SVD) minimizes RMS error. The normalized decomposition is fast and simple, using no more space than what is required for the final representation.