Multiresolution for algebraic curves and surfaces using wavelets

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/10789

dc.contributor	Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics
dc.contributor	Universitat Politècnica de Catalunya. MOVING - Grup de Recerca en Modelatge, Interacció i Visualització en Realitat Virtual
dc.contributor.author	Esteve Cusiné, Jordi
dc.contributor.author	Brunet Crosa, Pere
dc.contributor.author	Vinacua Pla, Álvaro
dc.date	2001-01
dc.identifier.citation	Esteve, 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.
dc.identifier.citation	0167-7055
dc.identifier.citation	10.1111/1467-8659.00474
dc.identifier.uri	http://hdl.handle.net/2117/10789
dc.language.iso	eng
dc.publisher	North Holland
dc.relation	http://www3.interscience.wiley.com/cgi-bin/fulltext/118914531/PDFSTART
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria algebraica
dc.subject	Geometry, Algebraic
dc.subject	geometric modeling
dc.subject	algebraic surfaces
dc.subject	wavelets
dc.subject	multiresolution
dc.subject	topological simplification
dc.subject	conversion algorithms
dc.subject	Geometria algebraica
dc.title	Multiresolution for algebraic curves and surfaces using wavelets
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.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.
dc.description.abstract	Peer Reviewed

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