Multivariate tight affine frames with a small number of generators
type: Item
instance of: scholarly article
title: Multivariate tight affine frames with a small number of generators
zbMATH Open document ID: 1043.41010
author: Maura Salvatori
author: Paolo M. Soardi
published in: Journal of Approximation Theory
publication date: 2004-08-06T00:00:00Z
review text: The theory of frames is a natural generalisation of orthonormal bases and of Riesz bases; the concept closest to the orthonormal bases are the tight frames. In this paper tight frames are constructed from multivariate splines, box-spline in two dimensions in this event.Several examples are presented, referring especially to the two-dimensional case of the four-direction mesh.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 2081948
zbMATH Keywords: tight affine frames
zbMATH Keywords: compactly supported wavelets
zbMATH Keywords: multivariate box splines
reviewed by: Martin D. Buhmann
MaRDI profile type: Publication
full work available at URL: j.jat.2004.01.005
OpenAlex ID: W2063327244
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DOI: 10.1016/J.JAT.2004.01.005
description: scientific article; zbMATH DE number 2081948