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Cite Details

Erik M. Bollt, Rick Chartrand, Selim Esedog̅lu, Peter F. Schultz and Kevin R. Vixie, "Graduated, adaptive image denoising: local compromise between total-variation and isotropic diffusion", Adv. Comput. Math., vol. 31, pp. 61--85, 2009

Abstract

We introduce variants of the variational image denoising method proposed by Blomgren, Mulet, Chan, and Wong, which interpolates between total-variation denoising and isotropic diffusion denoising. We study how parameter choices affect result and allow tuning between TV denoising and isotropic diffusion for respecting texture on one spatial scale while denoising features assumed to be noise on finer spatial scales. Furthermore, we prove existence and (where appropriate) uniqueness of minimizers. We consider both L2 and L1 data fidelity terms.

BibTeX Entry

@article{bollt-2007-graduated,
author = {Erik M. Bollt and Rick Chartrand and Selim Esedog̅lu and Peter F. Schultz and Kevin R. Vixie},
title = {Graduated, adaptive image denoising: local compromise between total-variation and isotropic diffusion},
year = {2009},
urlpdf = {http://math.lanl.gov/Research/Publications/Docs/bollt-2007-graduated.pdf},
journal = {Adv. Comput. Math.},
volume = {31},
pages = {61--85}
}