IEEE Trans Image Process - Nonlocal Mumford-Shah regularizers for color image restoration.

Tópicos

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Resumo

We propose here a class of restoration algorithms for color images, based upon the Mumford-Shah (MS) model and nonlocal image information. The Ambrosio-Tortorelli and Shah elliptic approximations are defined to work in a small local neighborhood, which are sufficient to denoise smooth regions with sharp boundaries. However, texture is nonlocal in nature and requires semilocal/non-local information for efficient image denoising and restoration. Inspired from recent works (nonlocal means of Buades, Coll, Morel, and nonlocal total variation of Gilboa, Osher), we extend the local Ambrosio-Tortorelli and Shah approximations to MS functional (MS) to novel nonlocal formulations, for better restoration of fine structures and texture. We present several applications of the proposed nonlocal MS regularizers in image processing such as color image denoising, color image deblurring in the presence of Gaussian or impulse noise, color image inpainting, color image super-resolution, and color filter array demosaicing. In all the applications, the proposed nonlocal regularizers produce superior results over the local ones, especially in image inpainting with large missing regions. We also prove several characterizations of minimizers based upon dual norm formulations.

Resumo Limpo

propos class restor algorithm color imag base upon mumfordshah ms model nonloc imag inform ambrosiotortorelli shah ellipt approxim defin work small local neighborhood suffici denois smooth region sharp boundari howev textur nonloc natur requir semilocalnonloc inform effici imag denois restor inspir recent work nonloc mean buad coll morel nonloc total variat gilboa osher extend local ambrosiotortorelli shah approxim ms function ms novel nonloc formul better restor fine structur textur present sever applic propos nonloc ms regular imag process color imag denois color imag deblur presenc gaussian impuls nois color imag inpaint color imag superresolut color filter array demosa applic propos nonloc regular produc superior result local one especi imag inpaint larg miss region also prove sever character minim base upon dual norm formul

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