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    Non-Redundant, Linear-Phase, Semi-Orthogonal, Directional Complex Wavelets

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    Author
    Fernandes, Felix; Wakin, Michael; Baraniuk, Richard G.
    Date
    2004-05-10
    Abstract
    The directionality and phase information provided by non-redundant complex wavelet transforms (NCWTs) provide significant potential benefits for image/video processing and compression applications. However, because existing NCWTs are created by downsampling filtered wavelet coefficients, the finest scale of these transforms has resolution 4x lower than the real input signal. In this paper, we propose a linear-phase, semi-orthogonal, directional NCWT design using a novel <i>triband</i> filter bank. At the finest scale, the resulting transform has resolution 3x lower than the real input signal. We provide a design example to demonstrate three important properties for image/video processing applications: directionality, magnitude coherency, and phase coherency.
    Description
    Conference Paper
    Citation
    F. Fernandes, M. Wakin and R. G. Baraniuk, "Non-Redundant, Linear-Phase, Semi-Orthogonal, Directional Complex Wavelets," vol. 2, 2004.
    Published Version
    http://dx.doi.org/10.1109/ICASSP.2004.1326417
    Keyword
    directional; non-redundant; complex; wavelet; projection; More... separable; orthogonal; linear-phase; geometric modeling; redundant; orientation; directionality; Filter Banks; directional; non-redundant; complex; wavelet; projection; separable; orthogonal; linear-phase; geometric modeling; redundant; orientation; directionality Less...
    Type
    Conference paper
    Citable link to this page
    https://hdl.handle.net/1911/19881
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    • DSP Publications [508]
    • ECE Publications [1468]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892
    Site Map