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Proceedings Paper

A new family of rotation-covariant wavelets on the hexagonal lattice
Author(s): Laurent Condat; Brigitte Forster-Heinlein; Dimitri Van De Ville
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Paper Abstract

We present multiresolution spaces of complex rotation-covariant functions, deployed on the 2-D hexagonal lattice. The designed wavelets, which are complex-valued, provide an important phase information for image analysis, which is missing in the discrete wavelet transform with real wavelets. Moreover, the hexagonal lattice allows to build wavelets having a more isotropic magnitude than on the Cartesian lattice. The associated filters, defined in the Fourier domain, yield an efficient FFT-based implementation.

Paper Details

Date Published: 27 September 2007
PDF: 9 pages
Proc. SPIE 6701, Wavelets XII, 67010B (27 September 2007); doi: 10.1117/12.733751
Show Author Affiliations
Laurent Condat, GSF-Nat. Research Ctr. for Environment and Health (Germany)
Brigitte Forster-Heinlein, GSF-Nat. Research Ctr. for Environment and Health (Germany)
Dimitri Van De Ville, École Polytechnique Fédérale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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