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research article
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.
Type
research article
Authors
Publication date
2007
Publisher
Volume
1
Issue
San Diego CA, USA
Start page
67010B
End page
1
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 18, 2015
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