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Proceedings Paper

A split-augmented Lagrangian algorithm for spectral factorization of a set of 2D directional filters and application to the design of compact shearlet frames
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Paper Abstract

In this paper, we first briefly review the directional properties of the Dual-Tree complex wavelet transform and we investigate how the directional selectivity of the transform can be increased (i.e., to obtain more than 6 orientations per scale). To this end, we describe a new augmented Lagrangian optimization algorithm to jointly perform the 2D spectral factorization of a set of 2D directional filters, with a high numerical accuracy. We demonstrate how this approach can be used to design compactly supported shearlet frames that are tight. Finally, a number of experimental results are given to show the merits of the resulting shearlet frames.

Paper Details

Date Published: 26 September 2013
PDF: 12 pages
Proc. SPIE 8858, Wavelets and Sparsity XV, 885806 (26 September 2013); doi: 10.1117/12.2024876
Show Author Affiliations
Bart Goossens, Ghent Univ. (Belgium)
Jan Aelterman, Ghent Univ. (Belgium)
Hiêp Luong, Ghent Univ. (Belgium)
Aleksandra Pižurica, Ghent Univ. (Belgium)
Wilfried Philips, Ghent Univ. (Belgium)

Published in SPIE Proceedings Vol. 8858:
Wavelets and Sparsity XV
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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