Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets

Author	dc.contributor.author	Bacchelli, Bárbara
Author	dc.contributor.author	Bozzini, Mira	es_CL
Author	dc.contributor.author	Rabut, Christophe	es_CL
Author	dc.contributor.author	Varas, María-Leonor	es_CL
Admission date	dc.date.accessioned	2007-04-18T14:27:25Z
Available date	dc.date.available	2007-04-18T14:27:25Z
Publication date	dc.date.issued	2005-05
Cita de ítem	dc.identifier.citation	: APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 18 (3): 282-299 MAY 2005	en
Identifier	dc.identifier.issn	1063-5203
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/124505
Abstract	dc.description.abstract	In this paper, we build a multidimensional wavelet decomposition based on polyharmonic B-splines. The prewavelets are polyharmonic splines and so not tensor products of univariate wavelets. Explicit construction of the filters specified by the classical dyadic scaling relations is given and the decay of the functions and the filters is shown. We then design the decomposition/recomposition algorithm by means of downsampling/upsampling and convolution products.	en
Lenguage	dc.language.iso	en	en
Publisher	dc.publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE	en
Keywords	dc.subject	INTERPOLATION	en
Título	dc.title	Decomposition and reconstruction of multidimensional signals using polyharmonic pre-wavelets	en
Document type	dc.type	Artículo de revista