A New Family of Rotation-Covariant Wavelets on the Hexagonal Lattice

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.


Published in:
Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet XII, 1, San Diego CA, USA, 67010B-1–67010B-9
Year:
2007
Publisher:
SPIE
Laboratories:




 Record created 2015-09-18, last modified 2018-03-17

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