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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 efficient. 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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8: Interval Analysis (context) - Moore - 1966
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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/article/heidrich98sampling.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/article/heidrich98sampling.html" }
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131 An image synthesizer (context) - Perlin - 1985
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16 The synthesis and rendering of eroded fractal terrains - Musgrave, Kolb et al. - 1989
16 A rapid hierarchical radiosity algorithm for unoccluded envi.. (context) - Hanrahan, Salzman - 1989
13 Generative Modeling for Computer graphics and CAD: Symbolic .. (context) - Snyder - 1992
12 Clamping: a method of antialiasing textured surfaces by band.. (context) - Norton, Rockwood et al. - 1982
8 Using procedural RenderMan shaders for global illumination - Slusallek, Pflaum et al. - 1995
6 A recursive implementation of the Perlin noise function (context) - Ward - 1991
5 OpenAlias Manual (context) - Wavefront - 1996
4 Affine arithmetic and its applications to computer graphics - ao, Comba et al. - 1993
4 Number 120 in Lecture notes in computer science (context) - Rall, Techniques - 1981
3 Algorithms for solid noise synthesis (context) - Lewis - 1989
3 Surface intersection using affine arithmetic (context) - Figueiredo - 1996
2 Adaptive enumeration of implicit surfaces with affine arithm.. - Figueiredo, Stolfi - 1996
2 International series in pure and applied mathematics (context) - Cheney, Approximation - 1966
2 and Erik Ruf (context) - Guenter, Knoblock - 1995
The graph only includes citing articles where the year of publication is known.
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