Sparse multidimensional representation using shearlets
Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE2005Vol. 5914, pp. 59140U–59140U
Citations Over TimeTop 10% of 2005 papers
Abstract
In this paper we describe a new class of multidimensional representation systems, called shearlets. They are obtained by applying the actions of dilation, shear transformation and translation to a fixed function, and exhibit the geometric and mathematical properties, e.g., directionality, elongated shapes, scales, oscillations, recently advocated by many authors for sparse image processing applications. These systems can be studied within the framework of a generalized multiresolution analysis. This approach leads to a recursive algorithm for the implementation of these systems, that generalizes the classical cascade algorithm.
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