Difference-of-exponential detector for extracting edges

摘要

In this paper, a generalized zero crossing (GZC) theorem is proposed. The GZC theorem has much less constraints on filters so that the design of filters can be flexible. Then, it is shown that ramp models can be effectively approximated by step models. Based on the GZC theorem, a difference-of-exponential (DoE) operator is proposed. It is shown both theoretically and experimentally that the new operator is computationally efficient, and its edge detection performance is higher than that of the Laplacian-of-Gaussian (LOG) operator.