Isotropic-polyharmonic B-splines and wavelets

Dimitri Van De Ville, Thierry Blu, Brigitte Forster, Michael Unser

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

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.

Original languageEnglish
Title of host publication2004 International Conference on Image Processing, ICIP 2004
Pages661-664
Number of pages4
DOIs
StatePublished - 2004
Externally publishedYes
Event2004 International Conference on Image Processing, ICIP 2004 - , Singapore
Duration: 24 Oct 200427 Oct 2004

Publication series

NameProceedings - International Conference on Image Processing, ICIP
Volume1
ISSN (Print)1522-4880

Conference

Conference2004 International Conference on Image Processing, ICIP 2004
Country/TerritorySingapore
Period24/10/0427/10/04

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