A New Implementation of the Hyperanalytic Wavelet Transform

The property of shift-invariance associated with a good directional selectivity are important for the application of a wavelet transform in many fields of image processing. Unfortunately, the 2D discrete wavelet transform is shift-variant and has a reduced directional selectivity. These disadvantage...

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Bibliographic Details
Main Authors: Adam, I., Nafornita, C., Boucher, J.-M., Isar, A.
Format: Conference Proceeding
Language:English
Subjects:
Continuous wavelet transforms
Discrete wavelet transforms
Estimation
Filter bank
Image analysis
Image processing
Signal analysis
Wavelet analysis
Wavelet coefficients
Wavelet transforms
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Summary:The property of shift-invariance associated with a good directional selectivity are important for the application of a wavelet transform in many fields of image processing. Unfortunately, the 2D discrete wavelet transform is shift-variant and has a reduced directional selectivity. These disadvantages can be attenuated if a complex wavelet transform is used. In this paper, we propose a new implementation of such a wavelet transform, recently introduced, the hyper analytic wavelet transform. It is quasi shift-invariant, it has a good directional selectivity, and a reduced degree of redundancy of 4 in 2D. The implementation proposed is very simple. The properties already mentioned are proved by simulation.
DOI:10.1109/ISSCS.2007.4292747