Haar-LikeWavelets over Tetrahedra

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 multir...

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Autores principales: Boscardín, Liliana Beatriz, Castro, Liliana Raquel, Castro, Silvia Mabel
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/62935
http://journal.info.unlp.edu.ar/wp-content/uploads/2017/10/JCST-45-Paper-1.pdf
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id I19-R120-10915-62935
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
spellingShingle Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
Boscardín, Liliana Beatriz
Castro, Liliana Raquel
Castro, Silvia Mabel
Haar-LikeWavelets over Tetrahedra
topic_facet Ciencias Informáticas
subdivision methods
volumetric data
multiresolution analysis
tetrahedral meshes
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.
format Articulo
Articulo
author Boscardín, Liliana Beatriz
Castro, Liliana Raquel
Castro, Silvia Mabel
author_facet Boscardín, Liliana Beatriz
Castro, Liliana Raquel
Castro, Silvia Mabel
author_sort Boscardín, Liliana Beatriz
title Haar-LikeWavelets over Tetrahedra
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/62935
http://journal.info.unlp.edu.ar/wp-content/uploads/2017/10/JCST-45-Paper-1.pdf
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