Quaternion wavelets for image analysis and processing

Wai Lam Chan, Hyeokho Choi, Richard Baraniuk

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

23 Scopus citations

Abstract

Using the concepts of two-dimensional Hilbert transform and analytic signal, we construct a new quaternion wavelet transform (QWT). The QWT forms a tight frame and can be efficiently computed using a 2-D dual-tree filter bank. The QWT and the 2-D complex wavelet transform (CWT) are related by a unitary transformation, but the former inherits the quaternion Fourier transform (QFT) phase properties, which are desirable for image analysis. The quaternion magnitude-phase representation of the QWT directly leads to near shift-invariance and the ability to encode phase shifts in an absolute xy-coordinate system, which we can use for applications such as edge estimation and statistical image modeling.

Original languageEnglish (US)
Title of host publicationProceedings - International Conference on Image Processing, ICIP
Pages3057-3060
Number of pages4
Volume2
StatePublished - 2004
Event2004 International Conference on Image Processing, ICIP 2004 - , Singapore
Duration: Oct 18 2004Oct 21 2004

Other

Other2004 International Conference on Image Processing, ICIP 2004
CountrySingapore
Period10/18/0410/21/04

ASJC Scopus subject areas

  • Engineering(all)

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