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. Despite effective tools in signal and image processing, traditional wavelets methods lose the ability to process multi-dimensional data. In this paper, we describe a new class of multidimensional representation systems, called shearlets. Similar with wavelets, this new representation can be associated with multiresolution analysis. The shearlet representation provides a more effective tool for the geometric representation of multidimensional data. We introduce the affine systems with composite dilations for the shearlet construction and give several examples of shearlets.

Improved Multidimensional Representation Using Shearlets