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dc.contributor.authorChan, Wai Lam
Choi, Hyeokho
Baraniuk, Richard G.
dc.creatorChan, Wai Lam
Choi, Hyeokho
Baraniuk, Richard G. 2007-10-31T00:39:00Z 2007-10-31T00:39:00Z 2004-10-01 2004-10-01
dc.identifier.citation W. L. Chan, H. Choi and R. G. Baraniuk, "Quaternion Wavelets for Image Analysis and Processing," vol. 5, 2004.
dc.description Conference Paper
dc.description.abstract Using the concepts of two-dimensional Hubert 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 x-y-coordinate system, which we can use for applications such as edge estimation and statistical image modeling.
dc.language.iso eng
dc.subject.otherDSP for Communications
dc.title Quaternion Wavelets for Image Analysis and Processing
dc.type Conference paper 2006-06-06
dc.citation.bibtexName inproceedings 2006-06-06
dc.contributor.orgDigital Signal Processing (
dc.citation.volumeNumber 5
dc.citation.location Singapore
dc.citation.conferenceName IEEE International Conference on Image Processing
dc.type.dcmi Text
dc.type.dcmi Text
dc.citation.firstpage 3057
dc.citation.lastpage 3060

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  • DSP Publications [508]
    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1289]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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