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Title:	Multiresolution for algebraic curves and surfaces using wavelets
Author:	Esteve Cusiné, Jordi; Brunet Crosa, Pere; Vinacua Pla, Álvaro
Other authors:	Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics; Universitat Politècnica de Catalunya. MOVING - Grup de Recerca en Modelatge, Interacció i Visualització en Realitat Virtual
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 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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica -Geometry, Algebraic -geometric modeling -algebraic surfaces -wavelets -multiresolution -topological simplification -conversion algorithms -Geometria algebraica
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
Published by:	North Holland
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