Performance of Restarted Homotopy Perturbation Method for TV-Based Image Denoising Problem

Abstract EN

We first propose a restarted homotopy perturbation method (RHPM) for solving a nonlinear PDE problem which repeats HPM process by computing only the first few terms instead of computing infinite terms, and then we present an application of RHPM to TV- (Total Variation-) based image denoising problem.

The main difficulty in applying RHPM to the nonlinear denoising problem is settled by using binomial series techniques.

We also provide finite difference schemes for numerical implementation of RHPM.

Lastly, numerical experiments for several test images are carried out to demonstrate the feasibility, efficiency, and reliability of RHPM by comparing the performance of RHPM with that of existing TM and recently proposed RHAM methods.