Coherent Image Processing using Quaternion Wavelets

Submitted by fk4 on Wed, 10/07/2009 - 16:46
TitleCoherent Image Processing using Quaternion Wavelets
Publication TypeConference Paper
AuthorsW. L. Chan, H. Choi, and R. G. Baraniuk
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.
Acknowledgements

This work was supported by NSF grant CCF-0431150, ONR grant N00014-02-1-0353, AFOSR grant FA9550-04-1-0148, AFRL grant FA8650-05-1850, and the Texas Instruments Leadership University Program.
We thank T.Gautama et al. for providing their image sequences and J.Barron et al. for making their image sequences publicly available. This material is based on research partially sponsored by AFRL/SNAT under agreement number AFRL grant FA8650-05-1850 (BAA 04-03-SNK call 9). The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation thereom. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of AFRL/SNAT or the U.S. Government.
Keywordsdisparity; edges; image registration; quaternions; wavelets
Year of Publication2005
MonthAug.
Conference NameWavelets XI in SPIE International Symposium on Optical Science and Technology
Conference LocationSan Diego
Publication File: 
application/pdf iconchacoherentim-spie-2005.pdf
Research project: 
Coherent Multiscale Image Processing Using Dual-Tree Quaternion Wavelets

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