A new family of rotation-covariant wavelets on the hexagonal lattice
Laurent Condat, Brigitte Forster, Dimitri Van De Ville · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2007
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.