A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice
L. Condat, B. Forster-Heinlein, D. Van De Ville
Proceedings of the SPIE Optics and Photonics 2007 Conference on Mathematical Methods: Wavelet XII, San Diego CA, USA, August 26-29, 2007, vol. 6701, pp. 67010B-1–67010B-9.
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, fully characterized in the Fourier domain, yield an efficient FFT-based implementation.
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AUTHOR="Condat, L. and Forster-Heinlein, B. and Van De Ville, D.",
TITLE="A New Family of Rotation-Covariant Wavelets on the Hexagonal
Lattice",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical Imaging:
{W}avelet {XII}",
YEAR="2007",
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volume="6701",
series="",
pages="67010B-1--67010B-9",
address="San Diego CA, USA",
month="August 26-29,",
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