Discussions on Bubble Wavelet Applying to Image Edge Detection

The characters of Bubble wavelet(Mexico hat wavelet)have been researched.We discussed the mistakes in some literatures that Mexico hat wavelet is applied to multi-resolution analysis,This paper point out that Mexico hat wavelet can only be applied to continuum wavelet transform(CWT)and its multi-resolution analysis does not exist.We suggest that it is applicable for bubble wavelet to detect image edge under continuum wavelet transform.The template for CWT is presented and is proved efficiency use for edge detection by experiment.