高维正交双向小波的分解与重构  

Decomposition and Reconstruction Algorithm for Multidimensional and Orthogonal Bidirectional Wavelet

作　　者：毛一波[1] 

机构地区：[1]重庆文理学院数学与统计学院,重庆永川402160

出　　处：《济南大学学报（自然科学版）》2012年第2期199-203,共5页Journal of University of Jinan(Science and Technology)

基　　金：重庆市教委科学技术研究项目(重教[KJ111213])

摘　　要：将正交双向小波推广到高维情形,给出具有矩阵伸缩的高维正交双向小波的概念,研究了高维正交双向尺度函数的完全重构条件和频域表示,以及它的分解算法和重构算法。The concept of orthogonal bidirectional wavelet is generalized to multidimensional.The perfect reconstruction condition and frequency-domain representation of multidimensional orthogonal bidirectional scaling function are investigated,and the decomposition and reconstruction algorithms for multidimensional orthogonal bidirectional wavelet are also obtained.

关 键 词：高维正交双向小波 矩阵伸缩 双向多分辨分析 分解 重构 

分 类 号：O174.2[理学—数学]