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Quaternion Wavelets for Image Analysis and Processing

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Title: Quaternion Wavelets for Image Analysis and Processing
Author: Chan, Wai Lam; Choi, Hyeokho; Baraniuk, Richard G.
Type: Conference Paper
Citation: W. L. Chan, H. Choi and R. G. Baraniuk,"Quaternion Wavelets for Image Analysis and Processing," in IEEE International Conference on Image Processing,, pp. 3057-3060.
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.
Date Published: 2004-10-01

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  • ECE Publications [1082 items]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students
  • DSP Publications [508 items]
    Publications by Rice Faculty and graduate students in digital signal processing.