Publication

Isotropic-Polyharmonic B-Splines and Wavelets

Michaël Unser, Thierry Blu
2004
Conference Papers

Abstract

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.

Official source

https://infoscience.epfl.ch/entities/publication/a61adfc6-d046-4f8e-a00d-90c824e9b716

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Michaël Unser, Thierry Blu
2004
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/a61adfc6-d046-4f8e-a00d-90c824e9b716

About this result

Related concepts (14)

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