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

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Title: Non-Redundant, Linear-Phase, Semi-Orthogonal, Directional Complex Wavelets
Author: Fernandes, Felix; Wakin, Michael; Baraniuk, Richard G.
Type: Conference Paper
Keywords: directional; non-redundant; complex; wavelet; projection; separable; orthogonal; linear-phase; geometric modeling; redundant; orientation; directionality
Citation: F. Fernandes, M. Wakin and R. G. Baraniuk,"Non-Redundant, Linear-Phase, Semi-Orthogonal, Directional Complex Wavelets," in IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP),, pp. 953-956.
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 triband 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.
Date Published: 2004-05-01

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  • ECE Publications [1034 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.