Coherent image processing using quaternion wavelets

Wai Lam Chan; Hyeokho Choi; Richard G. Baraniuk

doi:10.1117/12.615393

17 September 2005 Coherent image processing using quaternion wavelets

Wai Lam Chan, Hyeokho Choi, Richard G. Baraniuk

Proceedings Volume 5914, Wavelets XI; 59140Z (2005) https://doi.org/10.1117/12.615393
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

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.

Citation Download Citation

Wai Lam Chan, Hyeokho Choi, and Richard G. Baraniuk "Coherent image processing using quaternion wavelets", Proc. SPIE 5914, Wavelets XI, 59140Z (17 September 2005); https://doi.org/10.1117/12.615393

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