模糊多尺度边缘检测算法的研究

为了解决多尺度边缘检测中有效检出和精确定位的矛盾，本文提出了一种新的模糊多尺度边缘检测算法。该算法以图像的小波分解为基础，把图像的多尺度信息描述为模糊矩阵，然后利用模糊集的并－交运算进行信息的合成，最后通过λ截矩阵完成边缘图像的获取。通过与经典算法的比较，实验结果证明了该算法的可行性和有效性。
关键词边缘检测；小波；模糊；λ截矩阵
Abstract: In order to solve the conflict between effective detection and precise location, a new fuzzy multiscale edge detection algorithm of image is presented in this paper. Based on the dyadic wavelet transform, multiscale information of image is represented as fuzzy matrix, and is synthesized by the fuzzy set operations union and intersection. At last, the result of edge detection can be acquired by λ-matrix. Comparing with several traditional algorithms，the experiment results prove the feasibility and effectiveness of our algorithm.
Keywords: edge detection; wavelet; fuzzy; λ-matrix