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27 September 2007 A new family of rotation-covariant wavelets on the hexagonal lattice
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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.
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Laurent Condat, Brigitte Forster-Heinlein, and Dimitri Van De Ville "A new family of rotation-covariant wavelets on the hexagonal lattice", Proc. SPIE 6701, Wavelets XII, 67010B (27 September 2007); https://doi.org/10.1117/12.733751
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