Coherent Image Processing using Quaternion Wavelets
Date
Journal Title
Journal ISSN
Volume Title
Publisher
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.
Description
Advisor
Degree
Type
Keywords
Citation
W. L. Chan, H. Choi and R. G. Baraniuk, "Coherent Image Processing using Quaternion Wavelets," 2005.