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Proceedings Paper

An M-channel directional filter bank compatible with the contourlet and shearlet frequency tiling
Author(s): Glenn R. Easley; Vishal Patel; Dennis M. Healy Jr.
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Paper Abstract

In this work, we present new methods for creating M-channel directional filters to construct multiresolution and multidirectional orthogonal/biorthogonal transforms. A key feature of these methods is the ability to solve the polynomial Bezout equation in higher dimensions by taking advantage of solutions that have been proposed for solving a related equation known as the analytic Bezout equation. These new techniques are capable of creating directional filters that yield spatial-frequency tilings equivalent to those of the contourlet and the shearlet transforms. Such directional filter banks can create sparse representations for a large class of images and can be used for various restoration problems, compression schemes, and image enhancements.

Paper Details

Date Published: 20 September 2007
PDF: 11 pages
Proc. SPIE 6701, Wavelets XII, 67010C (20 September 2007); doi: 10.1117/12.734023
Show Author Affiliations
Glenn R. Easley, System Planning Corp. (United States)
Univ. of Maryland (United States)
Vishal Patel, Univ. of Maryland (United States)
Dennis M. Healy Jr., Univ. of Maryland (United States)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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