A Simple Quincunx Wavelet with Support on Triangles

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Title:	A Simple Quincunx Wavelet with Support on Triangles
Authors:	San Antolín Gil, Ángel
Research Group/s:	Curvas Alpha-Densas. Análisis y Geometría Local
Center, Department or Service:	Universidad de Alicante. Departamento de Matemáticas
Keywords:	Quincunx matrix \| Multiresolution analysis \| Refinable function vector \| Wavelets system
Knowledge Area:	Análisis Matemático
Issue Date:	Sep-2018
Publisher:	Springer International Publishing
Citation:	Results in Mathematics. 2018, 73:112. doi:10.1007/s00025-018-0869-7
Abstract:	We give a simple orthonormal wavelet system associated to the quincunx matrix. That system has four generators and those generators are sum of two constant functions on triangles. Our construction is based on the structure of a multiresolution analysis. Moreover, we prove that such a system is complete in Lp(R2), 1 < p < ∞. Finally, we give a filter bank algorithm associated to the proposed wavelet system.
Sponsor:	The author was partially supported by MEC/MICINN Grant #MTM2011-27998 (Spain).
URI:	http://hdl.handle.net/10045/79495
ISSN:	1422-6383 (Print) \| 1420-9012 (Online)
DOI:	10.1007/s00025-018-0869-7
Language:	eng
Type:	info:eu-repo/semantics/article
Rights:	© Springer Nature Switzerland AG 2018
Peer Review:	si
Publisher version:	https://doi.org/10.1007/s00025-018-0869-7
Appears in Collections:	INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas

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