Adaptive Enumeration of Implicit Surfaces with Affine Arithmetic

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Date
1996
Authors
de Figueiredo, Luiz Henrique
Stolfi, Jorge
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Science Ltd and the Eurographics Association
Abstract
We discuss adaptive enumeration and rendering methods for implicit surfaces, using octrees computed with affine arithmetic, a new tool for range analysis. Affine arithmetic is similar to standard interval arithmetic, but takes into account correlations between operands and sub-formulas, generally providing much tighter bounds for the computed quantities. The resulting octrees are accordingly much smaller, and the rendering faster.
Description

        
@article{
10.1111:1467-8659.1550287
,
journal = {Computer Graphics Forum},
title = {{
Adaptive Enumeration of Implicit Surfaces with Affine Arithmetic
}},
author = {
de Figueiredo, Luiz Henrique
 and 
Stolfi, Jorge
},
year = {
1996
},
publisher = {
Blackwell Science Ltd and the Eurographics Association
},
ISSN = {
1467-8659
},
DOI = {
10.1111/1467-8659.1550287
}
}
Citation
URI
https://doi.org/10.1111/1467-8659.1550287
Collections
Issue 5