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