应用分形的概念 ,给出了一个基于分数维布朗运动模型的图象边缘检测算法。该算法对图象中的每个象素 ,由计算以其为中心的一个 m× m象素块来得到其分数维值 ,并根据图象边缘具有某一特定范围的分数维值而将其检测出来。该边缘检测算法的最大优点是对噪声不敏感 ,因此可避免一般边缘检测算法放大噪声的缺点。应用其对核磁共振医学图象的边缘检测实验中得到了较好的效果 Applying the concept of fractal, an image edge detection algorithm based on fractal Brownian motion model is given. The algorithm obtains the fractal value of each pixel in the image by computing an m × m pixel block centered on it, and based on the fractal value of the image edge having a certain range, Detected. The biggest advantage of this edge detection algorithm is that it is insensitive to noise, so it can avoid the disadvantage of the general edge detection algorithm to amplify noise. The application of its MRI medical image edge detection experiments obtained good results