研究了Bubble小波(墨西哥帽小波)的特点，指出有些文献中把Bubble小波用于多分辨率分析的错误，认为墨西哥帽小波只能用于连续小波变换，且不存在多分辨率分析,指出Bubble小波在连续小波变换下应用于检测图像边缘是可行的，并给出了Bubble小波用于连续小波变换的近似卷积模板，实验结果表明了其用于边缘检测的有效性。

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.