@inproceedings{3a3f1402caa64d5885c66d78cd66ce5e,
title = "A new family of rotation-covariant wavelets on the hexagonal lattice",
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, fully characterized in the Fourier domain, yield an efficient FFT-based implementation.",
keywords = "2-D lattices, Complex wavelets, Hexagonal sampling, Multiresolution, Rotation-covariance, Scaling functions",
author = "Laurent Condat and Brigitte Forster-Heinlein and \{Van De Ville\}, Dimitri",
year = "2007",
doi = "10.1117/12.733751",
language = "English",
isbn = "9780819468499",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Wavelets XII",
note = "Wavelets XII ; Conference date: 26-08-2007 Through 29-08-2007",
}