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Determining Multiscale Image Feature Angles from Complex Wavelet Phases

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Image Analysis and Recognition (ICIAR 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3656))

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Abstract

In this paper, we introduce a new multiscale representation for 2-D images named the Inter-Coefficient Product (ICP). The ICP is a decimated pyramid of complex values based on the Dual-Tree Complex Wavelet Transform (DT-CWT). The complex phases of its coefficients correspond to the angles of dominant directional features in their support regions. As a sparse representation of this information, the ICP is relatively simple to calculate and is a computationally efficient representation for subsequent analysis in computer vision activities or large data set analysis. Examples of ICP decomposition show its ability to provide an intuitive representation of multiscale features (such as edges and ridges). Its potential uses are then discussed.

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References

  1. Anderson, R., Kingsbury, N., Fauqueur, J.: Coarse level object recognition using interlevel products of complex wavelets. In: International Conference on Image Processing (ICIP) (September 2005)

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  2. Kingsbury, N.G.: Complex wavelets for shift invariant analysis and filtering of signals. Journal of Applied and Computational Harmonic Analysis (3), 234–253 (2001)

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  3. Romberg, J., Wakin, M., Choi, H., Baraniuk, R.: A Geometric Hidden Markov Tree Wavelet Model. In: SPIE Wavelets X, San Diego, CA (August 2003)

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Author information

Authors and Affiliations

  1. Signal Processing Group, Dept. of Engineering, University of Cambridge, UK

    Ryan Anderson, Nick Kingsbury & Julien Fauqueur

Authors
  1. Ryan Anderson
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  2. Nick Kingsbury
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  3. Julien Fauqueur
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Editor information

Editors and Affiliations

  1. Electrical and Computer Engineering Department, University of Waterloo,  

    Mohamed Kamel

  2. FEUP - Faculdade de Engenharia, Universidade do Porto, Rua Dr. Roberto Frias, P.O. Box, 4200-465, Porto, Portugal

    Aurélio Campilho

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© 2005 Springer-Verlag Berlin Heidelberg

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Anderson, R., Kingsbury, N., Fauqueur, J. (2005). Determining Multiscale Image Feature Angles from Complex Wavelet Phases. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2005. Lecture Notes in Computer Science, vol 3656. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11559573_61

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  • DOI: https://doi.org/10.1007/11559573_61

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29069-8

  • Online ISBN: 978-3-540-31938-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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