【摘要】 本文研究了加性高斯白噪声对于基于离散分数布朗随机场（简记为ＤＦＢＲ场）模型图像分形维数估计的影响，并将分形方法用于图像边缘检测，指出了在加性高斯白噪声的情况下，分形方法用于图像边缘检测较之经典的基于梯度运算的边缘检测方法有好的抗噪性能，同时又能检测出较丰富的图像边缘细节。更多还原

【Abstract】 In this paper, the affect on the estimation of fractal dimension based on the model of discrete fractional Brownian random field (DFBR field)under additive white Gaussian noise is studied and fractal is used for edge detection. The method for edge detection which is based on fractal is insensitive to noise compared with the traditional method which is based on gradient under additive white Gaussian noise and more edge details can be detected.更多还原