Abstract: An new image edge detection method based on the wavelet and the fuzzy logic was presented. Basing the characteristic on high frequency part and low frequency part ,detailed information and averaged information were detected by dyadic wavelet transform and fuzzy logic. The detection results are fused by logic operation. Experiment results show that it can solve the contradiction between the availability and accurate position of edge detection. The edge of image has better complementarity and effect of edge detection is evidently better than classical Canny operator and Mallat operator.

Key words: Edge detection, Dyadic wavelet, Fuzzy logic, Logic operation

摘要： 提出一种基于小波和模糊逻辑的图像边缘检测方法。基于图像高频分量和低频分量的特点，对细节信息和平均信息分别用二进小波变换和模糊逻辑进行边缘检测，再用逻辑运算合成边缘图像。实验结果表明，该算法能有效解决图像边缘的有效检出与精确定位之间的矛盾，具有很好的互补性，检测效果优于经典的Canny和Mallat等算法。

关键词: 边缘检测, 二进小波, 模糊逻辑, 逻辑运算