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Proceedings Paper

A new family of complex rotation-covariant multiresolution bases in 2D
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Paper Abstract

We present complex rotation-covariant multiresolution families aimed for image analysis. Since they are complex-valued functions, they provide the important phase information, which is missing in the discrete wavelet transform with real wavelets. Our basis elements have nice properties in Hilbert space such as smoothness of fractional order α ε R+. The corresponding filters allow a FFT-based implementation and thus provide a fast algorithm for the wavelet transform.

Paper Details

Date Published: 13 November 2003
PDF: 5 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.503696
Show Author Affiliations
Brigitte Forster, Ecole Polytechnique Federale de Lausanne (Switzerland)
Thierry Blu, Ecole Polytechnique Federale de Lausanne (Switzerland)
Michael A. Unser, Ecole Polytechnique Federale de Lausanne (Switzerland)


Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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