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2008

The Shiftable Complex Directional Pyramid - Part I: Theoretical Aspects

13 years 11 months ago
The Shiftable Complex Directional Pyramid - Part I: Theoretical Aspects
Abstract--This paper presents an over-complete multiscale decomposition by combining the Laplacian pyramid and the complex directional filter bank (DFB). The filter bank is constructed in such a way that each complex directional filter is analytical using the dual-tree structure of real fan filters. Necessary and sufficient conditions in order for the resulting multirate filter bank to be shift-invariant in energy sense (shiftablity) are derived in terms of the magnitude and phase responses of these filters. Their connection to 2-D Hilbert transform relationship is established. The proposed transform possesses several desirable properties including multiresolution, arbitrarily high directional resolution, low redundant ratio, and efficient implementation.
Truong T. Nguyen, Soontorn Oraintara
Added 16 Dec 2010
Updated 16 Dec 2010
Type Journal
Year 2008
Where TSP
Authors Truong T. Nguyen, Soontorn Oraintara
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