摘要
小波分析是应用数学和工程技术相结合的完美典范。为了克服传统小波在图象处理方面的局限性,人们发展了一系列函数的重构系统,构成了小波大家族。本文首先推广了AB-多尺度分析的概念,并发展了相应的理论。最后,一个具有较好几何性质的复合伸缩小波被构造。
Wavelet analysis is a graceful example that applied mathematics and engineering technology are well integrated.In order to overcome classical wavelets’ shortcoming in processing image problems,people developed many producing systems,which built up wavelet family.In this paper,the notion of AB-multiresolution analysis is defined,corresponding theory is built.At last,a wavelet with composite dilations which has nice geometrical properties is constructed.
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
