Publication

Abstract : The novelty of this paper is edge detection in binary and color images using the Ricci curvature function is proposed. The reason for this is, if the edges in an image are determined accurately, then all of the objects can be located and basic image properties can be measured. In this paper we represent images as a manifold and make use of differential geometry in image processing, namely the Ricci curvature. Over the conventional edge detection methods Canny edge detector is the best available. So, we attempted a visual comparison of edge detection on digital image with Canny detector and Ricci curvature function. We demonstrate some features that can be added or missed in binary images by the Canny edge detector and the registration of edges in color images by the Ricci method..