Tudor Barbu, Angelo Favini
Abstract:
A nonlinear diffusion based image denoising technique is introduced in
this paper. The proposed PDE denoising and restoration scheme is based
on a novel diffusivity function that uses an automatically detected
conductance parameter. A robust mathematical treatment is also provided
for our anisotropic diffusion model. We demonstrate that edge-stopping
function model is properly chosen, explaining the mathematical reasons
behind it. Also, we perform a rigorous mathematical investigation on
of the existence and uniqueness of the solution of our nonlinear
diffusion equation. This PDE-based noise removal approach
outperforms most diffusion-based methods, producing considerably better
smoothing results and providing a much better edge preservation.
Submitted March 29, 2014. Published June 6, 2014.
Math Subject Classifications: 35Q68, 68U10, 62H35.
Key Words: Edge-preserving image denoising; nonlinear anisotropic diffusion;
PDE model; edge-stopping function; diffusivity conductance parameter.
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Tudor Barbu Institute of Computer Science of the Romanian Academy Iasi, Romania email: tudor.barbu@iit.academiaromana-is.ro |
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Angelo Favini Department of Mathematics, University of Bologna Bologna, Italy email: angelo.favini@unibo.it |
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