一种双正交多小波滤波器的设计及应用

Design and Application of a Biorthogonal Multiwavelet Filter

根据Micchelli和Xu建立的不变集多小波理论,以具有自仿映射性的三角区域为支撑区间,以其上的常数函数为尺度函数,构建出了一组具有对称、紧支、正交的多小波滤波器,并给出该滤波器的分解与重构算法,最后用该组滤波器对虹膜图像进行了分解与重构试验,并对结果进行了分析.

On the basis of the theory of invariant set multi-wavelets established by Micchelli and Xu,a biorthogonal multi-wavelets filter is designed in this paper with many characteristics,such as symmetry,compact support and orthogonality.In this filter,the self-affine triangle domain is as support interval,and constant function is as scaling function.In this paper,the algorithms of decomposition and reconstruction of this filter and the test about the decomposition and reconstruction of iris image are given,the experiment result is analyzed.