Coherent image processing using quaternion wavelets

Wai Lam Chan; Hyeokho Choi; Richard G. Baraniuk

doi:10.1117/12.615393

Coherent image processing using quaternion wavelets

Wai Lam Chan, Hyeokho Choi, Richard G. Baraniuk

Houston Methodist

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

9 Scopus citations

Abstract

We develop a quaternion wavelet transform (QWT) as a new multiscale analysis tool for geometric image features. The QWT is a near shift-invariant, tight frame representation whose coefficients sport a magnitude and three phase values, two of which are directly proportional to local image shifts. The QWT can be efficiently computed using a dual-tree filter bank and is based on a 2-D Hilbert transform. We demonstrate how the QWT's magnitude and phase can be used to accurately analyze local geometric structure in images. We also develop a multiscale flow/motion estimation algorithm that computes a disparity flow map between two images with respect to local object motion.

Original language	English (US)
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Editors	M. Papadakis, A.F. Laine, M.A. Unser
Pages	1-10
Number of pages	10
Volume	5914
DOIs	https://doi.org/10.1117/12.615393
State	Published - 2005
Event	Wavelets XI - San Diego, CA, United States Duration: Jul 31 2005 → Aug 3 2005

Other

Other	Wavelets XI
Country/Territory	United States
City	San Diego, CA
Period	7/31/05 → 8/3/05

Keywords

Disparity estimation
Dual-tree
Edges
Image registration
Quaternions
Wavelets

ASJC Scopus subject areas

Electrical and Electronic Engineering
Condensed Matter Physics

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10.1117/12.615393

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title = "Coherent image processing using quaternion wavelets",

abstract = "We develop a quaternion wavelet transform (QWT) as a new multiscale analysis tool for geometric image features. The QWT is a near shift-invariant, tight frame representation whose coefficients sport a magnitude and three phase values, two of which are directly proportional to local image shifts. The QWT can be efficiently computed using a dual-tree filter bank and is based on a 2-D Hilbert transform. We demonstrate how the QWT's magnitude and phase can be used to accurately analyze local geometric structure in images. We also develop a multiscale flow/motion estimation algorithm that computes a disparity flow map between two images with respect to local object motion.",

keywords = "Disparity estimation, Dual-tree, Edges, Image registration, Quaternions, Wavelets",

author = "Chan, \{Wai Lam\} and Hyeokho Choi and Baraniuk, \{Richard G.\}",

year = "2005",

doi = "10.1117/12.615393",

language = "English (US)",

volume = "5914",

pages = "1--10",

editor = "M. Papadakis and A.F. Laine and M.A. Unser",

booktitle = "Proceedings of SPIE - The International Society for Optical Engineering",

note = "Wavelets XI ; Conference date: 31-07-2005 Through 03-08-2005",

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T1 - Coherent image processing using quaternion wavelets

AU - Chan, Wai Lam

AU - Choi, Hyeokho

AU - Baraniuk, Richard G.

PY - 2005

Y1 - 2005

N2 - We develop a quaternion wavelet transform (QWT) as a new multiscale analysis tool for geometric image features. The QWT is a near shift-invariant, tight frame representation whose coefficients sport a magnitude and three phase values, two of which are directly proportional to local image shifts. The QWT can be efficiently computed using a dual-tree filter bank and is based on a 2-D Hilbert transform. We demonstrate how the QWT's magnitude and phase can be used to accurately analyze local geometric structure in images. We also develop a multiscale flow/motion estimation algorithm that computes a disparity flow map between two images with respect to local object motion.

AB - We develop a quaternion wavelet transform (QWT) as a new multiscale analysis tool for geometric image features. The QWT is a near shift-invariant, tight frame representation whose coefficients sport a magnitude and three phase values, two of which are directly proportional to local image shifts. The QWT can be efficiently computed using a dual-tree filter bank and is based on a 2-D Hilbert transform. We demonstrate how the QWT's magnitude and phase can be used to accurately analyze local geometric structure in images. We also develop a multiscale flow/motion estimation algorithm that computes a disparity flow map between two images with respect to local object motion.

KW - Disparity estimation

KW - Dual-tree

KW - Edges

KW - Image registration

KW - Quaternions

KW - Wavelets

UR - https://www.scopus.com/pages/publications/30844465476

UR - https://www.scopus.com/inward/citedby.url?scp=30844465476&partnerID=8YFLogxK

U2 - 10.1117/12.615393

DO - 10.1117/12.615393

M3 - Conference contribution

AN - SCOPUS:30844465476

VL - 5914

SP - 1

EP - 10

BT - Proceedings of SPIE - The International Society for Optical Engineering

A2 - Papadakis, M.

A2 - Laine, A.F.

A2 - Unser, M.A.

T2 - Wavelets XI

Y2 - 31 July 2005 through 3 August 2005

ER -

Coherent image processing using quaternion wavelets

Abstract

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Keywords

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