Abstract：In this paper

we studied a variational model in image restoration based on p(x) harmonic mapping and acquired the existence and uniqueness of minimized energy function. Then we educe the corresponding evolution equation. From the experimental results

the proposed model show its advantages of combining anisotropic total variational(TV) diffusion model with Gaussian isotropic diffusion model

since it can not only reduce the “blocky” effect while preserving edges

but also improves computing efficiency.