Multiresolution for Algebraic Curves and Surfaces using Wavelets |
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Authors: | Jordi Esteve Pere Brunet & Alvar Vinacua |
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Affiliation: | Universitat Politècnica de Catalunya Barcelona, Spain |
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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. |
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Keywords: | geometric modeling algebraic surfaces wavelets multiresolution topological simplification conversion algorithms |
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