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Title:
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Quaternion Wavelets for Image Analysis and Processing |
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Author:
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Chan, Wai Lam; Choi, Hyeokho; Baraniuk, Richard G.
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Type:
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Conference Paper |
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Citation:
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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. |
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Abstract:
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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. |
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Date Published:
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2004-10-01 |
