Multiresolució de corbes i superfícies. B-splines cúbiques mitjancant wavelets

This paper describes two multiresolution methods for cubic Bsplines curves and surfaces based on wavelets and the computer application derived. The first multiresolution method deals with end-interpolating cubic Bsplines defined over finite linear spaces. The multiresolution decomposition and recons...

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Detalles Bibliográficos
Autor: Esteve Cusiné, Jordi
Tipo de recurso: informe técnico
Fecha de publicación:1997
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:catalán
OAI Identifier:oai:upcommons.upc.edu:2117/97116
Acceso en línea:https://hdl.handle.net/2117/97116
Access Level:acceso abierto
Palabra clave:Multiresolution
Cubic Bsplines curves
Surfaces
Wavelets
Àrees temàtiques de la UPC::Informàtica::Aplicacions de la informàtica
Descripción
Sumario:This paper describes two multiresolution methods for cubic Bsplines curves and surfaces based on wavelets and the computer application derived. The first multiresolution method deals with end-interpolating cubic Bsplines defined over finite linear spaces. The multiresolution decomposition and reconstruction algorithm does multiplications of banded matrixes and resolutions of banded lineal systems. The second method deals with uniform cubic Bsplines over infinite linear spaces and the algorithm derived is a moving average filtering process. The implementation of the two multiresolution methods is discussed as well as the advantages and disadvantages of them.