Splat representation of parametric surfaces

Point-based geometry representations and their splat-based generalizations have become a suitable technique both for modeling and rendering complex 3D shapes. So, it seems interesting to convert other kind of models to a point or splat-based representations. In this work, we present an approach to c...

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Detalhes bibliográficos
Autores: Ayala Vallespí, M. Dolors|||0000-0003-4931-0467, Pla García, Núria|||0000-0001-9997-6254, Vigo Anglada, Marc|||0000-0001-7412-0425
Formato: informe técnico
Fecha de publicación:2005
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/84967
Acesso em linha:https://hdl.handle.net/2117/84967
Access Level:acceso abierto
Palavra-chave:Parametric surfaces
Point-based geometry
Voronoi diagrams
Àrees temàtiques de la UPC::Informàtica::Infografia
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spelling Splat representation of parametric surfacesAyala Vallespí, M. Dolors|||0000-0003-4931-0467Pla García, Núria|||0000-0001-9997-6254Vigo Anglada, Marc|||0000-0001-7412-0425Parametric surfacesPoint-based geometryVoronoi diagramsÀrees temàtiques de la UPC::Informàtica::InfografiaPoint-based geometry representations and their splat-based generalizations have become a suitable technique both for modeling and rendering complex 3D shapes. So, it seems interesting to convert other kind of models to a point or splat-based representations. In this work, we present an approach to convert a parametric surface to an elliptical splat-based representation. Although this conversion supposes a loss of information going from an analytical to an approximate model, it will allow to locally modify zones with complex features, to mix surface and splat-based models and to take advantage of the existing point-based rendering methods. The presented approach works in the parametric space and performs an adaptive sampling based on the surface curvature and a given error tolerance. The goal is to obtain an optimized set of elliptical splats that completely covers the surface. Two strategies are presented, one based on a quadrangular subdivision of the parametric space and the other on power Voronoi diagrams. Finally, some open problems are enumerated.20052005-09-0120162016-03-31reporthttp://purl.org/coar/resource_type/c_93fcVoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/reportapplication/pdfhttps://hdl.handle.net/2117/84967reponame: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:2117/849672026-05-27T15:37:01Z
dc.title.none.fl_str_mv Splat representation of parametric surfaces
title Splat representation of parametric surfaces
spellingShingle Splat representation of parametric surfaces
Ayala Vallespí, M. Dolors|||0000-0003-4931-0467
Parametric surfaces
Point-based geometry
Voronoi diagrams
Àrees temàtiques de la UPC::Informàtica::Infografia
title_short Splat representation of parametric surfaces
title_full Splat representation of parametric surfaces
title_fullStr Splat representation of parametric surfaces
title_full_unstemmed Splat representation of parametric surfaces
title_sort Splat representation of parametric surfaces
dc.creator.none.fl_str_mv Ayala Vallespí, M. Dolors|||0000-0003-4931-0467
Pla García, Núria|||0000-0001-9997-6254
Vigo Anglada, Marc|||0000-0001-7412-0425
author Ayala Vallespí, M. Dolors|||0000-0003-4931-0467
author_facet Ayala Vallespí, M. Dolors|||0000-0003-4931-0467
Pla García, Núria|||0000-0001-9997-6254
Vigo Anglada, Marc|||0000-0001-7412-0425
author_role author
author2 Pla García, Núria|||0000-0001-9997-6254
Vigo Anglada, Marc|||0000-0001-7412-0425
author2_role author
author
dc.subject.none.fl_str_mv Parametric surfaces
Point-based geometry
Voronoi diagrams
Àrees temàtiques de la UPC::Informàtica::Infografia
topic Parametric surfaces
Point-based geometry
Voronoi diagrams
Àrees temàtiques de la UPC::Informàtica::Infografia
description Point-based geometry representations and their splat-based generalizations have become a suitable technique both for modeling and rendering complex 3D shapes. So, it seems interesting to convert other kind of models to a point or splat-based representations. In this work, we present an approach to convert a parametric surface to an elliptical splat-based representation. Although this conversion supposes a loss of information going from an analytical to an approximate model, it will allow to locally modify zones with complex features, to mix surface and splat-based models and to take advantage of the existing point-based rendering methods. The presented approach works in the parametric space and performs an adaptive sampling based on the surface curvature and a given error tolerance. The goal is to obtain an optimized set of elliptical splats that completely covers the surface. Two strategies are presented, one based on a quadrangular subdivision of the parametric space and the other on power Voronoi diagrams. Finally, some open problems are enumerated.
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-09-01
2016
2016-03-31
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/2117/84967
url https://hdl.handle.net/2117/84967
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
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score 15,301603

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