中文摘要：

分形将灰度图像空间映射到分形维数空间进行边缘检测,形态学利用具有特向性的检测算子进行边缘检测。本文将分形中DFBR模型和改进的形态学方法相结合得到一种新的边缘检测算法。实验结果表明：结合算法具有分形算法的保留图像边缘细节能力和形态学对特殊方向边缘的检测能力,在对含有大量细节图像的边缘提取上优于单一的边缘检测方法,并具有良好的抗噪性能。

英文摘要：

Fractal theory can find edge after mapping the image gray level space to the fractal dimension of space,while the morphological edge detection algorithm is based on directional operators.In this paper,an improved edge detector based on fractal theory and mathematical morphology is presented.The results of experiment show that the new method has the ability of retaining the image edge details and detecting directional edge.It also obtains more effective edge image than that of the single method on processing complex images and suppresses the noise.