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ACM Transactions on Graphics (TOG), Volume 21 Issue 1, January 2002

Steerable illumination textures
Michael Ashikhmin, Peter Shirley
Pages: 1-19
DOI: 10.1145/504789.504790
We introduce a new set of illumination basis functions designed for lighting bumpy surfaces. This lighting includes shadowing and interreflection. To create an image with a new light direction, only a linear combination of precomputed textures is...

A framework for geometric warps and deformations
Tim Milliron, Robert J. Jensen, Ronen Barzel, Adam Finkelstein
Pages: 20-51
DOI: 10.1145/504789.504791
We present a framework for geometric warps and deformations. The framework provides a conceptual and mathematical foundation for analyzing known warps and for developing new warps, and serves as a common base for many warps and deformations. Our...

On the algebraic and geometric foundations of computer graphics
Ron Goldman
Pages: 52-86
DOI: 10.1145/504789.504792
Today's computer graphics is ostensibly based upon insights from projective geometry and computations on homogeneous coordinates. Paradoxically, however, projective spaces and homogeneous coordinates are incompatible with much of the algebra and a...