摘要
小波分析在工程应用领域已经取得了巨大的成功,为了克服传统小波在图象处理方面的局限性,人们构造了各种重构系统.根据AB-多尺度分析的理论,首先构造了一个正交的复合伸缩多小波,然后又构造出了一个复合伸缩的Parseval框架单小波.
Wavelet analysis is a graceful example with mathematics and engineering technology are well integrated. In order to overcome classical wavelets＇ shortcoming in processing image problems, people developed many producing systems. In this paper, by the theory of AB-multiresolution analysis, a orthogonal multiwavelet with composite dilation is constructed. Then, a Parseval frame wavelet with composite dilations is obtained.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2010年第1期6-8,共3页
Journal of Henan University:Natural Science
基金
国家自然科学基金资助项目(60802061)
河南省教育厅自然科学基金(2008B510001)
关键词
小波分析
复合伸缩小波
AB-多尺度分析
Wavelet analysis
wavelets with composite dilations
AB-multiresolution analysis
