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.


Published in:
Proceedings of the 2004 IEEE International Conference on Image Processing (ICIP'04), Singapore, Singapore, 661–664
Year:
2004
Publisher:
IEEE
Laboratories:




 Record created 2015-09-18, last modified 2018-03-17

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