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Title:
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Coherent Multiscale Image Processing using Quaternion Wavelets |
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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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Journal Paper |
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Keywords:
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quaternion; complex; wavelet transform; phase; disparity estimation |
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Citation:
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W. L. Chan, H. Choi and R. G. Baraniuk, "Coherent Multiscale Image Processing using Quaternion Wavelets," IEEE Transactions on Image Processing, 2006. |
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Abstract:
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The quaternion wavelet transform (QWT) is 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 phases: two phases encode local image shifts
while the third contains image texture information. The QWT is based
on an alternative theory for the 2-D Hilbert transform and can be
computed using a dual-tree filter bank with linear computational
complexity. To demonstrate the properties of the QWT's coherent
magnitude/phase representation, we develop an efficient and accurate
procedure for estimating the local geometrical structure of an
image. We also develop a new multiscale algorithm for estimating the
disparity between a pair of images that is promising for image
registration and flow estimation applications. The algorithm
features multiscale phase unwrapping, linear complexity, and
sub-pixel estimation accuracy. |
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Date Published:
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2006-10-01 |
