Tudor Barbu, Angelo Favini
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
| Angelo Favini |
Department of Mathematics, University of Bologna
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