NDLI: Nonseparable Shearlet Transform

Content Provider	IEEE Xplore Digital Library
Author	Wang-Q Lim
Copyright Year	1992
Abstract	Over the past few years, various representation systems which sparsely approximate functions governed by anisotropic features, such as edges in images, have been proposed. Alongside the theoretical development of these systems, algorithmic realizations of the associated transforms are provided. However, one of the most common shortcomings of these frameworks is the lack of providing a unified treatment of the continuum and digital world, i.e., allowing a digital theory to be a natural digitization of the continuum theory. In this paper, we introduce a new shearlet transform associated with a nonseparable shearlet generator, which improves the directional selectivity of previous shearlet transforms. Our approach is based on a discrete framework, which allows a faithful digitization of the continuum domain directional transform based on compactly supported shearlets introduced as means to sparsely encode anisotropic singularities of multivariate data. We show numerical experiments demonstrating the potential of our new shearlet transform in 2D and 3D image processing applications.
Sponsorship	IEEE Signal Processing Society
Page Count	10
File Size	1373613
Starting Page	2056
Ending Page	2065
File Format	PDF
ISSN	10577149
Volume Number	22
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-05-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Generators Hafnium Discrete wavelet transforms Wavelet domain Image processing wavelets Discrete shearlet transform multiresolution analysis shearlets sparse approximation
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design Software

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