文献类型：会议论文

英文题名：Some Characterizations of Wavelets with Composite Dilations

作者：Wu, Guochang[1];Zhang, Yadong[1]

通讯作者：Wu, GC[1]

机构：[1]Henan Univ Finance & Econ, Coll Informat, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学计算机与信息工程学院

通讯机构：[1]corresponding author), Henan Univ Finance & Econ, Coll Informat, Zhengzhou 450002, Peoples R China.|[1048412]河南财经政法大学计算机与信息工程学院;[10484]河南财经政法大学;

会议论文集：International Symposium on Computer Science and Computational Technology

会议日期：DEC 20-22, 2008

会议地点：Shanghai, PEOPLES R CHINA

语种：英文

外文关键词：Image processing - Multiresolution analysis

摘要：In order to overcome classical wavelets' shortcoming in image processing problems, people developed many producing systems, which built up wavelet family. In this paper the notion of AB-multiresolution analysis is generalized, and corresponding theory is developed. For an AB-multiresolution analysis associated with an expanding matrix, we deduce that there exists a singe scaling function in its reducing subspace. Under some conditions, wavelets with composite dilations can be gotten by AB-multiresolution analysis, which permits the existence of fast implementation algorithm. At last, some wavelets with composite dilations which has nice geometrical properties are constructed.