Geodesic
Rigorous mathematical investigation of a nonlinear anisotropic diffusion-based image restoration model
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q68, 68U10, 62H35
Keywords: edge-preserving image denoising, nonlinear anisotropic diffusion, PDE model, edge-stopping function, diffusivity conductance parameter 
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     author = {Barbu, Tudor and Favini, Angelo},
     title = {Rigorous mathematical investigation of a nonlinear anisotropic diffusion-based image restoration model},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a27/}
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Barbu, Tudor; Favini, Angelo. Rigorous mathematical investigation of a nonlinear anisotropic diffusion-based image restoration model. Electronic Journal of Differential Equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a27/