Domain decomposition methods in image denoising using Gaussian curvature

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, P...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2006-09, Vol.193 (2), p.460-473
Main Authors: Firsov, D., Lui, S.H.
Format: Article
Language:English
Subjects:
Domain decomposition
Exact sciences and technology
Gaussian curvature
Image restoration
Mathematical analysis
Mathematics
Nonlinear PDEs
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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Summary: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.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2005.05.032