Nonlocal evolutions for image regularization
Guy Gilboa, Stanley Osher · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2007
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.