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Directional wavelet analysis with Fourier-type bases for image processing
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Yao, Zhen, Rajpoot, Nasir M. and Wilson, Roland (2007) Directional wavelet analysis with Fourier-type bases for image processing. In: Tao, Q. and Mang, V. and Xu, Y., (eds.) Wavelet Analysis and Applications. Applied and Numerical Harmonic Analysis . Birkhäuser Basel, pp. 123-142. ISBN 9783764377779
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Official URL: http://dx.doi.org/10.1007/978-3-7643-7778-6_13
Abstract
Motivated by the fact that in natural images, there is usually a presence of local strongly oriented features such as directional textures and linear discontinuities, a representation which is both well-localised in frequency and orientation is desirable to efficiently describe those oriented features. Here we introduce a family of multiscale trigonometric bases for image processing using Fourier-type constructions, namely, the multiscale directional cosine transform and the multiscale Fourier transform. We also show that by seeking an adaptive basis locally, the proposed bases are able to capture both oriented harmonics as well as discontinuities, although the complexity of such adaptiveness varies significantly. We conducted denoising experiments with the proposed bases and the results show great promise of the proposed directional wavelet bases.
Item Type: | Book Item | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Computer Science | ||||
Series Name: | Applied and Numerical Harmonic Analysis | ||||
Journal or Publication Title: | Wavelet Analysis and Applications | ||||
Publisher: | Birkhäuser Basel | ||||
ISBN: | 9783764377779 | ||||
Book Title: | Wavelet Analysis and Applications | ||||
Editor: | Tao, Q. and Mang, V. and Xu, Y. | ||||
Official Date: | 2007 | ||||
Dates: |
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Number of Pages: | 20 | ||||
Page Range: | pp. 123-142 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Date of first compliant deposit: | 28 July 2016 | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Conference on Wavelet Analysis and Applications | ||||
Type of Event: | Conference | ||||
Location of Event: | Univ Macau, Macao | ||||
Date(s) of Event: | 29 Nov - 02 Dec 2005 |
Data sourced from Thomson Reuters' Web of Knowledge
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