A study of convex/concave edges and edge-enhancing operators based on the Laplacian

Abstract

Edge-enhancing operators using a modification of the Laplacian called the order statistic (OS) Laplacian are considered. The edge-enhancing operators are evaluated for their performance on the convex/concave (C/C) edge, which is useful blurred edge model, and on white Gaussian noise input signals. It is shown that the operators that use the OS Laplacian are much less sensitive to noise than the edge-enhancing operator that uses the Laplacian, while the edge-enhancing characteristics of the former are comparable to those of the latter. One set of images processed by these operators is presented to illustrate the performance characteristics of these operators.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>