摘要
在处理高维数据的线状奇异性时,剪切波能有效克服小波的不足而成为当前研究热点.给出了两种具有紧支撑和任意伸缩因子的剪切波紧框架构造方法.一种是利用已知的带限小波构造.另一种是利用具有两尺度关系的小波构造.最后,基于已构造出的4带小波,用给出的方法成功地构造出了相应的剪切波紧框架.
Shearlets has more advantages than wavelets in processing the high dimensional data. This paper gives two methods for constructing the Shearlet tight frames with compact support and arbitrary scale. The one is provided through limited wavelets. The other is provided through wavelets with two-scale relations. Finally, two examples are given based on the constructed wavelets with 4-band.
作者
冯岩
宋俊辉
朱梦泽
FENG Yan SONG Jun-hui ZHU Meng-ze(School of Computer and Information Technology, Xinyang Normal University, Xinyang 464000, China Xinyang Senior High School, Xinyang 464000, China)
出处
《数学的实践与认识》
北大核心
2017年第18期260-266,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金项目(61572417)
河南省科技计划项目(152102210129)
河南省教育厅科学技术研究重点项目(14B520045
14A520001)
关键词
剪切波
紧框架
紧支撑
伸缩因子
shearlets
tight frames
compact support
dilation factor
