Edge-enhancement postprocessing using artificial dissipation

TL;DR: A method to enhance, by postprocessing, the performance of gradient-based edge detectors by adding terms which are similar to the artificial dissipation that appear in the numerical solution of hyperbolic PDEs.

Abstract: We present a method to enhance, by postprocessing, the performance of gradient-based edge detectors. It improves the performance of the edge detector by adding terms which are similar to the artificial dissipation that appear in the numerical solution of hyperbolic PDEs. This term is added to the output of the edge detector. The edges that are missed or blurred by the edge detector are reconstructed through the addition of the artificial dissipation terms. Edges that are detected correctly by the edge detector are preserved. We present the theory of the artificial dissipation and its improvement of the quality of the detected edges. We demonstrate the performance of the algorithm on diverse images.