On Effective Stopping Time Selection for Visco-Plastic Nonlinear BV Diffusion Filters Used in Image Denoising
Gideon Akumah Ngwa, I.A. Frigaard, Otmar Scherzer · SIAM Journal on Applied Mathematics · 2003
We consider denoising applications using nonlinear diffusion filters of BV type. Using the multiple timescales method, an equation is derived that approximates the time evolution of the image noise. Analysis of the corresponding variational inequality leads to an estimate of the timescale over which the noise decays to its local mean, given in terms of the filter parameters. We present a number of computed examples that demonstrate the validity of our stopping time estimate.