基于边缘检测算子的两类B样条小波

Two types of the B-spline wavelets based on edge detector

研究了分别对应极值检测算子和零交叉检测算子的两类任意阶基数 B样条小波 .基于 Mallat一维和二维信号的小波变换和逆变换理论 ,推导出小波分解与重建算法中滤波器组 H ,G,G,L的时域和频率解析表达式 .讨论了这两类小波在小波分析中的作用 .

Two types of the arbitrary order cardinal B spline wavelets were discussed in this paper, corresponding to the extrema detection and zero crossings detection respectively.Based on Mallats wavelet transform and reverse transform theory of 1 D and 2 D signals,the general expressions were derived for the spatial and frequency responses of the filter banks H,G,,L in his wavelet decomposition and deconstruction algorithms for above two detection techniques.Furthermore,their roles in the wavelet analysis were stulied in detail.