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Abstract: Affine arithmetic is a model for self-validated numerical computation that affine arithmetic keeps track of first-order correlations between computed and input quantities. We explain the main concepts in affine arithmetic and it handles the dependency problem in standard interval arithmetic. We also describe some of its applications. (Update)
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BibTeX entry: (Update)
@misc{ figueiredo-affine,
author = "Luiz Henrique de Figueiredo and Jorge Stolfi",
title = "Affine Arithmetic: Concepts and Applications",
url = "citeseer.nj.nec.com/defigueiredo03affine.html" }
Citations (may not include all citations):70 Lectures on Polytopes - Ziegler - 1995
24 A generalized interval arithmetic (context) - Hansen - 1975
13 Ray-tracing procedural displacement shaders - Heidrich, Seidel - 1998
12 Self-Validated Numerical Methods and Applications - Stolfi, de Figueiredo - 1997
11 Computation and application of Taylor polynomials with inter.. - Berz, Hoffsttter - 1998
10 Sampling procedural shaders using affine arithmetic - Heidrich, Slusallek et al. - 1998
9 Graphing Equations with Generalized Interval Arithmetic (context) - Tupper - 1996
8 Adaptive enumeration of implicit surfaces with affine arithm.. - de Figueiredo, Stolfi - 1996
6 Surface intersection using affine arithmetic - de Figueiredo - 1996
5 Interval methods for ray casting implicit surfaces with affi.. - Jr, de Figueiredo et al. - 1999
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