Nonlocal evolutions for image regularization

Guy Gilboa; Stanley Osher

doi:10.1117/12.714701

28 February 2007 Nonlocal evolutions for image regularization

Guy Gilboa, Stanley Osher

Proceedings Volume 6498, Computational Imaging V; 64980U (2007) https://doi.org/10.1117/12.714701
Event: Electronic Imaging 2007, 2007, San Jose, CA, United States

Abstract

A nonlocal quadratic functional of weighted differences is examined. The weights are based on image features and represent the affinity between different pixels in the image. By prescribing different formulas for the weights, one can generalize many local and nonlocal linear denoising algorithms, including nonlocal means and bilateral filters. The steepest descent for minimizing the functional can be interpreted as a nonlocal diffusion process. We show state of the art denoising results using the nonlocal flow.

Citation Download Citation

Guy Gilboa and Stanley Osher "Nonlocal evolutions for image regularization", Proc. SPIE 6498, Computational Imaging V, 64980U (28 February 2007); https://doi.org/10.1117/12.714701

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