A novel edge detection method based on fractal theory

The gray image of nature objects surrounding us satisfies the fractional Brownian motion (fBm) model. In this paper, the limitations and disadvantages of available methods based on fBm model are pointed out and a novel edge detection method based on fractal theory is proposed. Moreover, an edge evaluation method is introduced to analyze its performance. The experiment results show that the proposed method not only can detect abundant edge details but also is computationally economical. Furthermore, the general edge evaluation of the proposed method is much better than that of the traditional method.