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Abstract:

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.

Registro:

Documento: Artículo
Título:Some remarks about compactly supported spline wavelets
Autor:Serrano, E.P.
Filiación:Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, I Ciudad Universitaria, (1428) Buenos Aires, Argentina
Año:1996
Volumen:3
Número:1
Página de inicio:57
Página de fin:64
DOI: http://dx.doi.org/10.1006/acha.1996.0004
Título revista:Applied and Computational Harmonic Analysis
Título revista abreviado:Appl Comput Harmonic Anal
ISSN:10635203
CODEN:ACOHE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_10635203_v3_n1_p57_Serrano.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10635203_v3_n1_p57_Serrano

Referencias:

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  • Chui, C.K., (1991) Multivariate Splines, , SIAM, Philadelphia
  • Chui, C.K., (1992) An Introduction to Wavelets, , Academic Press, Boston
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  • Lemarié, P.G., Une nouvelle base d'ondelettes de L2 (ℛn) (1988) J. Math. Pure Appl., 67, pp. 227-236
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  • Schoenberg, I.J., (1993) Cardinal Spline Interpolation, , SIAM, Philadelphia
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Citas:

---------- APA ----------
(1996) . Some remarks about compactly supported spline wavelets. Applied and Computational Harmonic Analysis, 3(1), 57-64.
http://dx.doi.org/10.1006/acha.1996.0004
---------- CHICAGO ----------
Serrano, E.P. "Some remarks about compactly supported spline wavelets" . Applied and Computational Harmonic Analysis 3, no. 1 (1996) : 57-64.
http://dx.doi.org/10.1006/acha.1996.0004
---------- MLA ----------
Serrano, E.P. "Some remarks about compactly supported spline wavelets" . Applied and Computational Harmonic Analysis, vol. 3, no. 1, 1996, pp. 57-64.
http://dx.doi.org/10.1006/acha.1996.0004
---------- VANCOUVER ----------
Serrano, E.P. Some remarks about compactly supported spline wavelets. Appl Comput Harmonic Anal. 1996;3(1):57-64.
http://dx.doi.org/10.1006/acha.1996.0004