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The famous Perona-Malik (P-M) equation which was at first introduced forimage restoration has been solved via various numerical methods. In this paperwe will solve it for the first time via applying a new numerical method calledHomotopy Perturbation Method (HMP) and the correspondent approximated solutionswill be obtained for the P-M equation with regards to relevant error analysis.Through implementation of our algorithm we will access some effective resultswhich are deserved to be considered as worthy as the other solutions issued bythe other methods.

Homotopy Perturbation Method for Image Restoration and Denoising