An image denoising approach based on a meshfree method and the domain decomposition technique

In this paper the meshfree finite point method (FPM) with domain decomposition is investigated for solving a nonlinear PDE to denoise digital images. The obtained algorithm is parallel and ideal for parallel computers. We use the scheme of Catté et al. [9] and we believe that this method could be successfully implemented for other noise removal schemes. The finite point method is a meshfree method based on the point collocation of moving least squares approximation. This method is easily applicable to nonlinear problems due to the lack of dependence on a mesh or integration procedure. Also computer experiments indicate the efficiency of the proposed method.