Shift-Invariance in the Discrete Wavelet Transform

Bradley, Andrew P. (2003). Shift-Invariance in the Discrete Wavelet Transform. In: C. Sun, H. Talbot, S. Ourselin and T. Adriaansen, Proceedings of the 7th International Conference on Digital Image Computing: Techniques and Applications. The 7th International Conference on Digital Image Computing: Techniques and Applications, Sydney, Australia, (29-38). 10-12 December, 2003.

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Author Bradley, Andrew P.
Title of paper Shift-Invariance in the Discrete Wavelet Transform
Conference name The 7th International Conference on Digital Image Computing: Techniques and Applications
Conference location Sydney, Australia
Conference dates 10-12 December, 2003
Proceedings title Proceedings of the 7th International Conference on Digital Image Computing: Techniques and Applications
Place of Publication Brisbane
Publisher The University of Queensland
Publication Year 2003
Sub-type Fully published paper
ISBN 1-74107-043-0
Editor C. Sun
H. Talbot
S. Ourselin
T. Adriaansen
Volume 1
Start page 29
End page 38
Total pages 10
Collection year 2003
Language eng
Abstract/Summary In this paper we review a number of approaches to reducing, or removing, the problem of shift variance in the discrete wavelet transform (DWT). We describe a generalization of the critically sampled DWT and the fully sampled 'algorithme a trous' that provides approximate shift-invariance with an acceptable level of redundancy. The proposed over complete DWT (OCDWT) is critically sub-sampled to a given level of the decomposition, below which it is then fully sampled. The efficacy of the proposed algorithm is illustrated in an edge detection context and directly compared to a number of other shift-invariant transforms in terms of complexity and redundancy.
Subjects 280203 Image Processing
Keyword shift variance
discrete wavelet transform
DWT
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Unknown

 
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Created: Wed, 23 Nov 2005, 10:00:00 EST by Andrew Bradley on behalf of School of Engineering