Domain decomposition methods in image denoising using Gaussian curvature

Authors:
D. Firsov;S. H. Lui
Affiliations:
Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada;Department of Mathematics, University of Manitoba, Winnipeg, Manitoba, Canada
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

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Abstract

A domain decomposition method is used to solve a Gaussian curvature driven flow to denoise digital images. The algorithm is embarrassingly parallel and is ideal for parallel computers. We use the scheme of Lee-Keun [Noise removal based on nonlinear diffusion with Gauss curvature conductance, 2003, Preprint] in which the diffusion coefficient contains a term involving the Gaussian curvature. This minimizes the occurrence of patches and tips of cones are not flattened.