具有任意伸缩因子剪切波紧框架的构造

Yan FENG,Jun-hui SONG, Meng-ze ZHU

Mathematics in Practice and Theory(2017)

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Abstract
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.
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Key words
shearlets,tight frames,compact support,dilation factor
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