摘要
根据经典的康托尔集构造了二维康托尔集,将一维康托尔二元群上的小波变换推广到二维康托尔二元群上.利用一维多分辨分析的张量积构造出二维可分离多分辨分析,提出相应的尺度函数和小波函数,并给出基于该小波的分解与重构算法.
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.
出处
《纺织高校基础科学学报》
CAS
2017年第3期311-317,共7页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(11571213)
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
two dimensional Cantor group
two dimensional Cantor dyadic group
multiresolution analysis
decomposition and reconstruction
