Coherent image processing using quaternion wavelets

Wai Lam Chan, Hyeokho Choi, Richard G. Baraniuk

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations


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 languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsM. Papadakis, A.F. Laine, M.A. Unser
Number of pages10
StatePublished - 2005
EventWavelets XI - San Diego, CA, United States
Duration: Jul 31 2005Aug 3 2005


OtherWavelets XI
Country/TerritoryUnited States
CitySan Diego, CA


  • Disparity estimation
  • Dual-tree
  • Edges
  • Image registration
  • Quaternions
  • Wavelets

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics


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