A novel algorithm for edge enhancement based on Hilbert Matrix

In this paper, the performance of image filtering using the Hilbert Matrix and its inverse is studied first and according to its results, a new edge enhancement and embossing algorithm is proposed. Most of the Laplacian and Sobel-based edge detection methods use small masks. The algorithm suggested here not only enhances and sharpens the edges of the image, but also makes it possible to use customized masks in Hilbert matrix and its inverse. Practical results show that this algorithm can be exploited in different fields such as angiography. The proposed method has been compared with sharpening method using Laplacin and Sobel operators.