摘要： 提出一种基于分形理论和数学形态学的边缘检测方法。该方法利用分形理论中离散分数布朗随机场来抑制噪声得到按分形维分布的灰度图像，采用数学形态学检测连续的特征边缘。试验表明，采用该方法比经典的边缘检测算子能够更好地达到视觉测量的要求。

关键词: 分形, 离散分数布朗随机场, 数学形态学, 边缘检测

Abstract: This paper proposes a method for edge detection of image based on fractal theory and mathematical morphology. The method gets the gray-level image distributed by fractal dimension using the DFBR field of the fractal theory to restrain the noise. And it detects the consecutive edge using mathematical morphology. The examples show that the method can obtain better requirement of view measurement than the classic operators of edge detection.

中图分类号: 

• TP391.41