Image Processing through Reaction Combined with Nonlinear Diffusion

Abstract

We propose a method based on nonlinear diffusion and reaction for edge detection and contrast enhancement in image processing. We prove that the mathematical model is well posed and show numerically that the processed image can be observed on the asymptotic state of its solution. We illustrate the methods on test images and show on medical images how it can help to draw contours and detect one-dimensional coherent signals.