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Lunch club seminars on Dynamical Systems



An adaptive finite element strategy to solve the Perona-Malik model

Carlos Bazan, San Diego State University, Computational Sciences Ph.D. program
CSRC homepage.

An adaptive finite element strategy is employed to solve the Perona-Malik model as modified by Catté, Lions, Morel and Coll for image processing by (often highly) nonlinear diffusion. FEMLAB® and MATLAB® are used to implement the experiments and they prove to be very suitable tools to run this type of problem. Refinement and coarsening of the grids are used as needed and the approach leads to unstructured grids where the efficiency of the remeshing strategy is demonstrated by obtaining very similar results as in the regular grid case, though with fewer unknowns.

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