Publication

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

Dimitri Nestor Alice Van De Ville
2007
Journal Articles

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.

Official source

https://infoscience.epfl.ch/entities/publication/49869f00-db18-412d-b093-207868f98bea

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

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