Mac-Cormack’s Scheme for Shock Filtering Equation in Image Enhancement

Abstract

Mac-Cormack’s scheme is elaborated to approximate the solution of shock filtering equation in image enhancement. This scheme is in second order approximation of spatial and time variables. Here, the comparison results of upwind and Mac-Cormack’s scheme are given. The results show that Mac-Cormack’s scheme is able to preserve the edge discontinuity. For evaluating the performance of numerical results, the discrete L2 norm error for both numerical schemes is given. From several experiments, along the increasing of image sizes, the error of Mac-Cormack’s scheme is observed getting smaller. For instance, using image sizes (64,64) the error is obtained 0.13762, meanwhile using (512,512) the error is observed 0.06640.