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Multiresolution for algebraic curves and surfaces using wavelets
Esteve Cusiné, Jordi; Brunet Crosa, Pere; Vinacua Pla, Álvaro
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
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.
Peer Reviewed
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
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
info:eu-repo/semantics/publishedVersion
Artículo
North Holland
         

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