Sparse multidimensional representation using shearlets

Demetrio Labate; Wang-Q. Lim; Gitta Kutyniok; Guido Weiss

doi:10.1117/12.613494

17 September 2005 Sparse multidimensional representation using shearlets

Demetrio Labate, Wang-Q. Lim, Gitta Kutyniok, Guido Weiss

Proceedings Volume 5914, Wavelets XI; 59140U (2005) https://doi.org/10.1117/12.613494
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Demetrio Labate, Wang-Q. Lim, Gitta Kutyniok, and Guido Weiss "Sparse multidimensional representation using shearlets", Proc. SPIE 5914, Wavelets XI, 59140U (17 September 2005); https://doi.org/10.1117/12.613494

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