Multiscale representation of surfaces by tight wavelet frames with applications to denoising
type: Item
instance of: scholarly article
title: Multiscale representation of surfaces by tight wavelet frames with applications to denoising
zbMATH Open document ID: 1346.42039
author: Bin Dong
author: Qingtang Jiang
author: Chaoqiang Liu
author: Zuowei Shen
published in: Applied and Computational Harmonic Analysis
publication date: 2016-08-18T00:00:00Z
review text: The paper is concerned with tight wavelet frame multiscale representation for triangular and quadrilateral surfaces. An analysis based surface denoising model for both surfaces has been studied as an application of such representation. Fast numerical algorithms also have been introduced due to the nonlinearity of tight wavelet frame transforms on surfaces. The proposed tight wavelet frame systems are selfdual which is not sensitive to perturbations of the coefficients and has very short support and desirable symmetry. The results are refinement of some results studied in [\textit{Q. Jiang} and \textit{D. K. Pounds}, Appl. Comput. Harmon. Anal. 31, No. 3, 370--391 (2011; Zbl 1238.42018)].
reviewed by: Devendra Kumar
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 6618052
zbMATH Keywords: multiscale representation
zbMATH Keywords: split Bregman
zbMATH Keywords: surface denoising
zbMATH Keywords: tight wavelet frames
MaRDI profile type: Publication
full work available at URL: j.acha.2015.03.005
OpenAlex ID: W2051893864
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DOI: 10.1016/J.ACHA.2015.03.005
description: scientific article; zbMATH DE number 6618052