中文摘要：

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.

英文摘要：

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.