纺织高校基础科学学报2017，Vol.30Issue(3)：311-317,7.DOI:10.13338/j.issn.1006-8341.2017.03.004
基于二维康托尔二元群的小波变换
The wavelet transform based on the two dimension Cantor binary group
摘要
Abstract
According to the classic Cantor group,the two dimensional Cantor group was constructed,and the wavelet transformation was generalized from one-dimensional Cantor dyadic group to two-dimensional Cantor dyadic group.Using the tensor product of one dimensional multiresolution analysis,the two-dimensional separable multiresolution analysis was constructed.The scaling function and wavelet function were proposed,and the decomposition and reconstruction algorithm based on above MRA are given.关键词
二维康托尔集/二维康托尔二元群/多分辨分析/分解与重构Key words
two dimensional Cantor group/two dimensional Cantor dyadic group/multiresolution analysis/decomposition and reconstruction分类
数理科学引用本文复制引用
师东利,李万社..基于二维康托尔二元群的小波变换[J].纺织高校基础科学学报,2017,30(3):311-317,7.基金项目
国家自然科学基金资助项目(11571213) （11571213）
