IEEE Trans Image Process - Nonseparable shearlet transform.

Tópicos

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Resumo

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.

Resumo Limpo

past year various represent system spars approxim function govern anisotrop featur edg imag propos alongsid theoret develop system algorithm realiz associ transform provid howev one common shortcom framework lack provid unifi treatment continuum digit world ie allow digit theori natur digit continuum theori paper introduc new shearlet transform associ nonsepar shearlet generat improv direct select previous shearlet transform approach base discret framework allow faith digit continuum domain direct transform base compact support shearlet introduc mean spars encod anisotrop singular multivari data show numer experi demonstr potenti new shearlet transform d d imag process applic

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