A new family of rotation-covariant wavelets on the hexagonal lattice

نویسندگان

  • Laurent Condat
  • Brigitte Forster-Heinlein
  • Dimitri Van De Ville
چکیده

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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تاریخ انتشار 2007