An M-channel directional filter bank compatible with the contourlet and shearlet frequency tiling

Glenn R. Easley; Vishal Patel; Dennis M. Healy Jr.

doi:10.1117/12.734023

20 September 2007 An M-channel directional filter bank compatible with the contourlet and shearlet frequency tiling

Glenn R. Easley, Vishal Patel, Dennis M. Healy Jr.

Author Affiliations +

Proceedings Volume 6701, Wavelets XII; 67010C (2007) https://doi.org/10.1117/12.734023
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

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.

Citation Download Citation

Glenn R. Easley, Vishal Patel, and Dennis M. Healy Jr. "An M-channel directional filter bank compatible with the contourlet and shearlet frequency tiling", Proc. SPIE 6701, Wavelets XII, 67010C (20 September 2007); https://doi.org/10.1117/12.734023

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