Please use this identifier to cite or link to this item:
Title: Adaptive multiresolution analysis structures and shearlet systems
Authors: Han, B.
Kutyniok, G.
Shen, Z. 
Keywords: Adaptive multiresolution analysis
Affine systems
Fast decomposition algorithm
Tight frames
Issue Date: 2011
Citation: Han, B., Kutyniok, G., Shen, Z. (2011). Adaptive multiresolution analysis structures and shearlet systems. SIAM Journal on Numerical Analysis 49 (5) : 1921-1946. ScholarBank@NUS Repository.
Abstract: In this paper, we first introduce the concept of an adaptive multiresolution analysis (AMRA) structure, which is a variant of the classical MRA structure well suited to the main goal of a fast flexible decomposition strategy adapted to the data at each decomposition level. We then study this novel methodology for the general case of affine-like systems and derive a unitary extension principle (UEP) for filter design. Finally, we apply our results to the directional representation system of shearlets. This leads to a comprehensive theory for fast decomposition algorithms associated with shearlet systems which encompasses tight shearlet frames with spatially compactly supported generators within such an AMRA structure. Also, shearlet-like systems associated with parabolic scaling and unimodular shear matrices are studied within this framework. © 2011 Society for Industrial and Applied Mathematics.
Source Title: SIAM Journal on Numerical Analysis
ISSN: 00361429
DOI: 10.1137/090780912
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Dec 13, 2018


checked on Dec 4, 2018

Page view(s)

checked on Dec 14, 2018

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.