Multiresolution for Algebraic Curves and Surfaces using Wavelets
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Date
2001
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Publisher
Blackwell Publishers Ltd and the Eurographics Association.
Abstract
This paper describes a multiresolution method for implicit curves and surfaces. The method is based on wavelets, and is able to simplify the topology. The implicit curves and surfaces are defined as the zero-valued piece-wise algebraic isosurface of a tensor-product uniform cubic B-spline. A wavelet multiresolution method that deals with uniform cubic B-splines on bounded domains is proposed. In order to handle arbitrary domains the proposed algorithm dynamically adds appropriate control points and deletes them in the synthesis phase.
Description
@article{10.1111:1467-8659.00474,
journal = {Computer Graphics Forum},
title = {{Multiresolution for Algebraic Curves and Surfaces using Wavelets}},
author = {Esteve, Jordi and Brunet, Pere and Vinacua, Alvar},
year = {2001},
publisher = {Blackwell Publishers Ltd and the Eurographics Association.},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00474}
}