A simple quincunx wavelet with support on triangles
type: Item
instance of: scholarly article
title: A simple quincunx wavelet with support on triangles
zbMATH Open document ID: 1401.42039
published in: Results in Mathematics
publication date: 2018-10-25T00:00:00Z
review text: The author investigates orthonormal wavelet systems and proposes a simple orthonormal wavelet system associated to the quincunx dilation in \(\mathbb R^2\) with four generators. The generators are sums of two constant functions on triangles on the unit square. Continuing his investigation, the author proves that such a system is complete in \(L^p(\mathbb R^2),~1< p <\infty\). Moreover, the author presents a filter bank algorithm corresponding to the proposed wavelet system and its associated scaling functions.
reviewed by: Azhar Y. Tantary
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6965851
zbMATH Keywords: quincunx matrix
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: refinable function vector
zbMATH Keywords: wavelets system
author: Angel San Antolin
MaRDI profile type: Publication
full work available at URL: s00025-018-0869-7
OpenAlex ID: W2886318521
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Wikidata QID: Q129477296
DOI: 10.1007/S00025-018-0869-7
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description: scientific article; zbMATH DE number 6965851