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Abstract: Procedural shaders have become popular tools for describing surface reflectance functions and other material properties. In comparison to fixed resolution textures they have the advantage of being resolution independent and storage e#cient. While procedural shaders provide an interface for evaluating the shader at a single point in parameter space, it is not easily possible to obtain an average value of the shader together with accurate error bounds over a finite area. Yet the ability to... (Update)
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.... are studying the problems associated with clustered lights, area lights and their implications on illumination [PPD98, War91, SS98, WH98] computing error bounds with these forms of illumination is an open area of research. 155 Appendix A Scene Editing: line space...
.... 93 [2] as a tool for validated numerics [20] Since then, AA has been applied to the robust solution of several graphics problems [4,6,7,11,12], where it has successfully replaced interval arithmetic [16] In AA, a quantity x is represented as an affine form, x = x 0 x...
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BibTeX entry: (Update)
Wolfgang Heidrich, Philipp Slusallek, and Hans-Peter Seidel. Sampling procedural shaders using affine arithmetic. ACM Transactions on Graphics, 1998. http://citeseer.nj.nec.com/heidrich96sampling.html More
@article{ heidrich98sampling,
author = "Wolfgang Heidrich and Philip Slusallek and Hans-Peter Seidel",
title = "Sampling procedural shaders using affine arithmetic",
journal = "ACM Transactions on Graphics",
volume = "17",
number = "3",
pages = "158--176",
year = "1998",
url = "citeseer.nj.nec.com/heidrich96sampling.html" }
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