Biorthogonal wavelets with six-fold axial symmetry for hexagonal data and triangle surface multiresolution processing
type: Item
instance of: scholarly article
zbMATH Open document ID: 1243.42046
DOI: 10.1142/S0219691311004316
published in: International Journal of Wavelets, Multiresolution and Information Processing
publication date: 2012-06-12T00:00:00Z
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 68U07
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 6045596
zbMATH Keywords: hexagonal lattice
zbMATH Keywords: hexagonal data
zbMATH Keywords: six-fold symmetric filter bank
zbMATH Keywords: biorthogonal hexagonal filter bank
zbMATH Keywords: biorthogonal dyadic refinement wavelet
zbMATH Keywords: biorthogonal \(\sqrt 3\)-refinement wavelet
zbMATH Keywords: surface multiresolution decomposition/reconstruction
author: Qingtang Jiang
MaRDI profile type: Publication
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full work available at URL: s0219691311004316
OpenAlex ID: W2011076894
title: Biorthogonal wavelets with six-fold axial symmetry for hexagonal data and triangle surface multiresolution processing
review text: The construction of six-fold axial symmetric biorthogonal filter banks and the associated wavelets, with both the dyadic and the \(\sqrt 3\)-refinements, are studied. By associating the outputs (after one-level multiresolution decomposition) appropriately with the nodes of the regular triangular mesh with which the input data is associated (sampled), the author represents multiresolution analysis and synthesis algorithms as templates for surface processing. The relationship between the algorithms based on the biorthogonal loop-subdivision wavelets and the six-fold symmetric filter banks is also presented.
reviewed by: Yuri A. Farkov
description: scientific article; zbMATH DE number 6045596