摘要
通过构造三向剖分下平行六边形上的周期多尺度分析,利用三向剖分下平行六边形上的离散Fourier变换方法,给出一类以平行六边形为周期的非张量积二元正交小波的构造方法.构造的正交尺度函数和小波的两尺度方程中只包含4项,因而相应的分解和重构算法也只有4项.构造方法易于实现、计算简单并具有一般性.
First, we constructed a periodic multiresolution analysis about the parallel hexagon. Then, using the discrete Fourier transform over 3-direction partition domains, we constructed a kind of bivariate periodic non-tensor-product orthogonal wavelets defined on parallel hexagons. There are only 4 terms in the corresponding refinement equations of the orthogonal scaling functions and the wavelets (and so do the decomposition and reconstruction algorithms). The method presented here is general which is simple for implementation.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2005年第2期142-148,共7页
Journal of Jilin University:Science Edition
基金
吉林大学创新基金
关键词
非乘积型剖分域
周期多尺度分析
两尺度方程
周期小波
non-tensor-product partition domain
periodic multiresolution analysis
refinement equation
periodic wavelets