Multiresolution for algebraic curves and surfaces using wavelets
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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 tenser-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.
CitationEsteve, J.; Brunet, P.; Vinacua, A. Multiresolution for algebraic curves and surfaces using wavelets. "Computer graphics forum", Gener 2001, vol. 20, núm. 1, p. 47-58.