Haar-LikeWavelets over Tetrahedra

Autores
Boscardín, Liliana Beatriz; Castro, Liliana Raquel; Castro, Silvia Mabel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we define a Haar-like wavelets basis that form a basis for L2(T,S,μ), μ being the Lebesgue measure and S the σ -algebra of all tetrahedra generated from a subdivision method of the T tetrahedron. As 3D objects are, in general, modeled by tetrahedral grids, this basis allows the multiresolution representation of scalar functions defined on polyhedral volumes, like colour, brightness, density and other properties of an 3D object.
Facultad de Informática
Materia
Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/62935

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network_name_str SEDICI (UNLP)
spelling Haar-LikeWavelets over TetrahedraBoscardín, Liliana BeatrizCastro, Liliana RaquelCastro, Silvia MabelCiencias Informáticassubdivision methodsvolumetric datamultiresolution analysistetrahedral meshesIn this paper we define a Haar-like wavelets basis that form a basis for L2(T,S,μ), μ being the Lebesgue measure and S the σ -algebra of all tetrahedra generated from a subdivision method of the T tetrahedron. As 3D objects are, in general, modeled by tetrahedral grids, this basis allows the multiresolution representation of scalar functions defined on polyhedral volumes, like colour, brightness, density and other properties of an 3D object.Facultad de Informática2017-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf92-99http://sedici.unlp.edu.ar/handle/10915/62935enginfo:eu-repo/semantics/altIdentifier/url/http://journal.info.unlp.edu.ar/wp-content/uploads/2017/10/JCST-45-Paper-1.pdfinfo:eu-repo/semantics/altIdentifier/issn/1666-6038info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:00:43Zoai:sedici.unlp.edu.ar:10915/62935Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:00:43.352SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Haar-LikeWavelets over Tetrahedra
title Haar-LikeWavelets over Tetrahedra
spellingShingle Haar-LikeWavelets over Tetrahedra
Boscardín, Liliana Beatriz
Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
title_short Haar-LikeWavelets over Tetrahedra
title_full Haar-LikeWavelets over Tetrahedra
title_fullStr Haar-LikeWavelets over Tetrahedra
title_full_unstemmed Haar-LikeWavelets over Tetrahedra
title_sort Haar-LikeWavelets over Tetrahedra
dc.creator.none.fl_str_mv Boscardín, Liliana Beatriz
Castro, Liliana Raquel
Castro, Silvia Mabel
author Boscardín, Liliana Beatriz
author_facet Boscardín, Liliana Beatriz
Castro, Liliana Raquel
Castro, Silvia Mabel
author_role author
author2 Castro, Liliana Raquel
Castro, Silvia Mabel
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
topic Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
dc.description.none.fl_txt_mv In this paper we define a Haar-like wavelets basis that form a basis for L2(T,S,μ), μ being the Lebesgue measure and S the σ -algebra of all tetrahedra generated from a subdivision method of the T tetrahedron. As 3D objects are, in general, modeled by tetrahedral grids, this basis allows the multiresolution representation of scalar functions defined on polyhedral volumes, like colour, brightness, density and other properties of an 3D object.
Facultad de Informática
description In this paper we define a Haar-like wavelets basis that form a basis for L2(T,S,μ), μ being the Lebesgue measure and S the σ -algebra of all tetrahedra generated from a subdivision method of the T tetrahedron. As 3D objects are, in general, modeled by tetrahedral grids, this basis allows the multiresolution representation of scalar functions defined on polyhedral volumes, like colour, brightness, density and other properties of an 3D object.
publishDate 2017
dc.date.none.fl_str_mv 2017-10
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/62935
url http://sedici.unlp.edu.ar/handle/10915/62935
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journal.info.unlp.edu.ar/wp-content/uploads/2017/10/JCST-45-Paper-1.pdf
info:eu-repo/semantics/altIdentifier/issn/1666-6038
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
92-99
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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