Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets

Felix C A Fernandes; Michael B. Wakin; Richard G. Baraniuk

Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets

Felix C A Fernandes, Michael B. Wakin, Richard G. Baraniuk

Houston Methodist

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

28 Scopus citations

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 4× 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 3× 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.

Original language	English (US)
Title of host publication	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume	2
State	Published - 2004
Event	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing - Montreal, Que, Canada Duration: May 17 2004 → May 21 2004

Other

Other	Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing
Country/Territory	Canada
City	Montreal, Que
Period	5/17/04 → 5/21/04

ASJC Scopus subject areas

Electrical and Electronic Engineering
Signal Processing
Acoustics and Ultrasonics

Cite this

@inproceedings{dc9f2c0358d1489081741b162ed3476c,

title = "Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets",

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 4× 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 3× 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.",

author = "Fernandes, \{Felix C A\} and Wakin, \{Michael B.\} and Baraniuk, \{Richard G.\}",

year = "2004",

language = "English (US)",

volume = "2",

booktitle = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

note = "Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing ; Conference date: 17-05-2004 Through 21-05-2004",

}

TY - GEN

T1 - Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets

AU - Fernandes, Felix C A

AU - Wakin, Michael B.

AU - Baraniuk, Richard G.

PY - 2004

Y1 - 2004

N2 - 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 4× 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 3× 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.

AB - 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 4× 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 3× 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.

UR - https://www.scopus.com/pages/publications/4644299773

UR - https://www.scopus.com/inward/citedby.url?scp=4644299773&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:4644299773

VL - 2

BT - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

T2 - Proceedings - IEEE International Conference on Acoustics, Speech, and Signal Processing

Y2 - 17 May 2004 through 21 May 2004

ER -

Non-redundant, linear-phase, semi-orthogonal, directional complex wavelets

Abstract

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ASJC Scopus subject areas

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