Improved Multidimensional Representation Using Shearlets

Recently, a new representation called shearlet has been introduced[4-7]. This new representation is very effective in the geometric representation of multidimensional data. Since the shearlet representation possesses a more rigorous mathematical framework, it is easier for the implementation of shearlets[3]. An, J ianhai Chen1, J inliang Chai1, J izheng Di1 Abstract. 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