Design of matrix second-order differentiator for image sharpening using discrete sine transform

Abstract

In this paper, the design of matrix second-order differentiator (SOD) using discrete sine transform (DST) is presented. First, the design problem of matrix filter is described. Then, the DST is applied to obtain the closed-form transfer matrix of the matrix SOD. Next, the designed matrix SOD is used to develop an image sharpening algorithm by using Laplacian operator. Finally, the performance of the proposed matrix SOD is evaluated through numerical examples.