Isotropic-polyharmonic B-splines and wavelets
Journal
Proceedings - International Conference on Image Processing, ICIP
Journal Volume
1
ISBN
0780385543
Date Issued
2004-12-01
Author(s)
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. ©2004 IEEE.
Type
conference paper