Edge Detection Algorithm Based on Nonlinear Complex Scale Space

A nonlinear complex diffusion equation was obtained by changing the diffusion coefficient of the commonly used nonlinear diffusion equation into a complex one. Then the complex diffusion equation was resolved and utilized in image edge detection. In each round of iteration, the image parts of the solution derived from the complex diffusion equation were used to eliminate fake edges and isolated points to find real edges. A lot of image segmentation tests have been performed, and the results also were compared with those done by Canny detector, showing the effectiveness of the proposed algorithm.