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Zero-Symmetrical and Zero-Antisymetrical Dyadic Wavelet and Its Application to Edge Detection

Xu Chuanxiang (School of Mathematical Sciences, Peking University, Beijing 100871) Shi Qingyun; Cheng Minde (Center for Information Science, Peking University) (School of Mathematical Sciences, Peking University)  
In this paper we construct two types of dyadic wavelets suiting for edge detection and description: one is zero-symmetrical,the other is zero -antisymmetrical. These results have enriched the theory of dyadic wavelet and laid a solid foundation for properly applying dyadic wavelet to edge detection and description. Then the application of dyadic wavelet to edge detection, classification and description are studied from computation theory and algorithm aspects. Experimental results are also given to show the effectiveness.
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