Multiresolution for algebraic curves and surfaces using wavelets

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 algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolu...

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Detalles Bibliográficos
Autores: Esteve Cusiné, Jordi, Brunet Crosa, Pere|||0000-0001-8406-1975, Vinacua Pla, Álvaro|||0000-0001-8984-4311
Tipo de recurso: informe técnico
Fecha de publicación:1998
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/84908
Acceso en línea:https://hdl.handle.net/2117/84908
Access Level:acceso abierto
Palabra clave:Geometric modeling
Algebraic surfaces
Wavelets
Multiresolution
Topological simplification
Conversion algorithms
Àrees temàtiques de la UPC::Informàtica::Infografia
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spelling Multiresolution for algebraic curves and surfaces using waveletsEsteve Cusiné, JordiBrunet Crosa, Pere|||0000-0001-8406-1975Vinacua Pla, Álvaro|||0000-0001-8984-4311Geometric modelingAlgebraic surfacesWaveletsMultiresolutionTopological simplificationConversion algorithmsÀrees temàtiques de la UPC::Informàtica::InfografiaThis 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 algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolution method that deals with uniform cubic Bsplines on bounded domains has been constructed. Further, the report explains how to set the unknown coefficients to produce the most compact object, how to recover the initial object, a suitable data structure and, finally, points out several improvements that might produce better results.19981998-11-0120162016-03-30reporthttp://purl.org/coar/resource_type/c_93fcVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/84908reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/849082026-05-27T15:37:01Z
dc.title.none.fl_str_mv Multiresolution for algebraic curves and surfaces using wavelets
title Multiresolution for algebraic curves and surfaces using wavelets
spellingShingle Multiresolution for algebraic curves and surfaces using wavelets
Esteve Cusiné, Jordi
Geometric modeling
Algebraic surfaces
Wavelets
Multiresolution
Topological simplification
Conversion algorithms
Àrees temàtiques de la UPC::Informàtica::Infografia
title_short Multiresolution for algebraic curves and surfaces using wavelets
title_full Multiresolution for algebraic curves and surfaces using wavelets
title_fullStr Multiresolution for algebraic curves and surfaces using wavelets
title_full_unstemmed Multiresolution for algebraic curves and surfaces using wavelets
title_sort Multiresolution for algebraic curves and surfaces using wavelets
dc.creator.none.fl_str_mv Esteve Cusiné, Jordi
Brunet Crosa, Pere|||0000-0001-8406-1975
Vinacua Pla, Álvaro|||0000-0001-8984-4311
author Esteve Cusiné, Jordi
author_facet Esteve Cusiné, Jordi
Brunet Crosa, Pere|||0000-0001-8406-1975
Vinacua Pla, Álvaro|||0000-0001-8984-4311
author_role author
author2 Brunet Crosa, Pere|||0000-0001-8406-1975
Vinacua Pla, Álvaro|||0000-0001-8984-4311
author2_role author
author
dc.subject.none.fl_str_mv Geometric modeling
Algebraic surfaces
Wavelets
Multiresolution
Topological simplification
Conversion algorithms
Àrees temàtiques de la UPC::Informàtica::Infografia
topic Geometric modeling
Algebraic surfaces
Wavelets
Multiresolution
Topological simplification
Conversion algorithms
Àrees temàtiques de la UPC::Informàtica::Infografia
description 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 algebraic isosurface of a tensor-product uniform cubic Bspline. A wavelet multiresolution method that deals with uniform cubic Bsplines on bounded domains has been constructed. Further, the report explains how to set the unknown coefficients to produce the most compact object, how to recover the initial object, a suitable data structure and, finally, points out several improvements that might produce better results.
publishDate 1998
dc.date.none.fl_str_mv 1998
1998-11-01
2016
2016-03-30
dc.type.none.fl_str_mv report
http://purl.org/coar/resource_type/c_93fc
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/report
format report
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/84908
url https://hdl.handle.net/2117/84908
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869402822499368960
score 15,300724

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