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17 September 2005 Coherent image processing using quaternion wavelets
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Proceedings Volume 5914, Wavelets XI; 59140Z (2005)
Event: Optics and Photonics 2005, 2005, San Diego, California, United States
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.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Wai Lam Chan, Hyeokho Choi, and Richard G. Baraniuk "Coherent image processing using quaternion wavelets", Proc. SPIE 5914, Wavelets XI, 59140Z (17 September 2005);

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