SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Some Nonlinear Diffusions inspired by the Perona-Malik equation

P. Guidotti, Y. Kim and J. Lambers

Abstract
Two regularizations of the Perona-Malik equation will be described which allow for some mathematical analysis and for implementations which exhibit some desirable properties. Mathematical and experimental results will be discussed.

Bibliography
[1] P. Guidotti, Y. Kim, and J. Lambers, Image restoration with a new class of forward-backward-forward diffusion equations of Perona-Malik type with Applications to Satellite Image Enhancement, to appear in SIAM Journal on Imaging Science.
[2] P. Guidotti, A backward-forward regularization of the Perona-Malik equation, Journal of Differential Equations, Vol. 252 (4) 2012
[3] P. Guidotti, A family of nonlinear diffusions connecting Perona-Malik to standard diffusion, Discrete and Continuous Dynamical Systems - Series S, Vol. 5 (3) 2012.

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