Some remarks about compactly supported spline wavelets

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In this paper we propose an extended family of almost orthogonal spline wavelets with compact support. These functions provide snug bases for L2 (ℛ), preserving semiorthogonal properties. As it is well known, orthogonality is a desirable quality while finite support has attractive features for numer...

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Autor principal: Serrano, E.P.
Formato: Artículo publishedVersion
Publicado: 1996
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10635203_v3_n1_p57_Serrano_oai
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spelling I28-R145-paper_10635203_v3_n1_p57_Serrano_oai2020-10-19 Serrano, E.P. 1996 In this paper we propose an extended family of almost orthogonal spline wavelets with compact support. These functions provide snug bases for L2 (ℛ), preserving semiorthogonal properties. As it is well known, orthogonality is a desirable quality while finite support has attractive features for numerical applications. This work represents an effort to combine these conditions in the spline case and to enhance previous results of Chui and Unser et al. We start by reviewing the concept of semiorthogonal wavelets and we discuss their performance. Next, we give a brief description of the general technique for computing compactly supported spline wavelets. Finally we expose these functions. We also develop several formulas in accord with our purposes. © 1996 Academic Press, Inc. Fil:Serrano, E.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar Appl Comput Harmonic Anal 1996;3(1):57-64 Some remarks about compactly supported spline wavelets info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10635203_v3_n1_p57_Serrano_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
description In this paper we propose an extended family of almost orthogonal spline wavelets with compact support. These functions provide snug bases for L2 (ℛ), preserving semiorthogonal properties. As it is well known, orthogonality is a desirable quality while finite support has attractive features for numerical applications. This work represents an effort to combine these conditions in the spline case and to enhance previous results of Chui and Unser et al. We start by reviewing the concept of semiorthogonal wavelets and we discuss their performance. Next, we give a brief description of the general technique for computing compactly supported spline wavelets. Finally we expose these functions. We also develop several formulas in accord with our purposes. © 1996 Academic Press, Inc.
format Artículo
Artículo
publishedVersion
author Serrano, E.P.
spellingShingle Serrano, E.P.
Some remarks about compactly supported spline wavelets
author_facet Serrano, E.P.
author_sort Serrano, E.P.
title Some remarks about compactly supported spline wavelets
title_short Some remarks about compactly supported spline wavelets
title_full Some remarks about compactly supported spline wavelets
title_fullStr Some remarks about compactly supported spline wavelets
title_full_unstemmed Some remarks about compactly supported spline wavelets
title_sort some remarks about compactly supported spline wavelets
publishDate 1996
url http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano
http://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10635203_v3_n1_p57_Serrano_oai
work_keys_str_mv AT serranoep someremarksaboutcompactlysupportedsplinewavelets
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