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ICIP
2004
IEEE

Isotropic-polyharmonic B-splines and wavelets

14 years 5 months ago
Isotropic-polyharmonic B-splines and wavelets
We propose the use of polyharmonic B-splines to build non-separable two-dimensional wavelet bases. The central idea is to base our design on the isotropic polyharmonic B-splines, a new type of polyharmonic B-splines that do converge to a Gaussian as the order increases. We opt for the quincunx subsampling scheme which allows us to characterize the wavelet spaces with a single wavelet: the isotropic-polyharmonic B-spline wavelet. Interestingly, this wavelet converges to a combination of four Gabor atoms, which are well separated in frequency domain. We also briefly discuss our Fourier-based implementation and present some experimental results.
Dimitri Van De Ville, Thierry Blu, Brigitte Forste
Added 24 Oct 2009
Updated 27 Oct 2009
Type Conference
Year 2004
Where ICIP
Authors Dimitri Van De Ville, Thierry Blu, Brigitte Forster, Michael Unser
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