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: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_10635203_v3_n1_p57_Serrano2023-10-03T16:01:11Z Some remarks about compactly supported spline wavelets Serrano, E.P. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (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 JOUR
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
url http://hdl.handle.net/20.500.12110/paper_10635203_v3_n1_p57_Serrano
work_keys_str_mv AT serranoep someremarksaboutcompactlysupportedsplinewavelets
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