Van De Ville, DimitriDimitriVan De VilleTHIERRY BLUForster, BrigitteBrigitteForsterUnser, MichaelMichaelUnser2024-03-082024-03-082004-12-01078038554315224880https://scholars.lib.ntu.edu.tw/handle/123456789/640638We 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.Isotropic-polyharmonic B-splines and waveletsconference paper10.1109/ICIP.2004.14188412-s2.0-20444495708https://api.elsevier.com/content/abstract/scopus_id/20444495708