Image edge detection based on multi-fractal spectrum analysis

Abstract

In this paper, an image edge detection method based on multi-fractal spectrum analysis is presented. The coarse grain H?der exponent of the image pixels is first computed. then, its multi-fractal spectrum is estimated by the kernel estimation method. Finally, the image edge detection is done by means of different multi-fractal spectrum values. Simulation results show that this method is efficient and has better locality compared with the traditional edge detection methods such as the Sobel method.

Keywords

Image edge detection, Multi-fractal spectrum, H鰈der singular exponent, Kernel estimation