Abstract: We constructed bivariate non-tensor compactly supported prewavelet with symmetrical property, and discussed why our constructed prewavelets are adapted to image edge detection, and put forward an effective edge detection algorithm of non-tensor wavelets according to the feature of our constructed non-tensor wavelets, in which the key is how to distinguish the noise from the image edge information. For different images, we detected edge by our method, compared the detechion with Sobel edge detection operator and Canny edge detection. From the examples, the performance of our method is obviously better than Sobel edge detection and is almost equal to Canny edge detection, and for the image with visible texture such as the fingerprint image, our method is a little b etter than other methods.

Key words: bivariate prewavelet, compactly supported, non-tensor product, edge etection