Naslov
Efficient Approximate Scaling of Spherical Functions in the Fourier Domain with Generalization to Hyperspheres

Autori
Dokmanić, Ivan ; Petrinović, Davor

Izvornik
IEEE transactions on signal processing (1053-587X) 58 (2010), 11; 5909-5914

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
sphere; scaling; spherical harmonics; n-sphere; hyperspherical harmonics

Sažetak
We propose a simple model for approximate scaling of spherical functions in the Fourier domain. The proposed scaling model is analogous to the scaling property of the classical Euclidean Fourier transform. Spherical scaling is used for example in spherical wavelet transform and filter banks or illumination in computer graphics. Since the function that requires scaling is often represented in the Fourier domain, our method is of significant interest. Furthermore, we extend the result to higher-dimensional spheres. We show how this model follows naturally from consideration of a hypothetical continuous spectrum. Experiments confirm the applicability of the proposed method for several signal classes. The proposed algorithm is compared to an existing linear operator formulation.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Elektrotehnika, Računarstvo

Napomena
6 pages, first version submitted Dec. 23. 2009, resubmitted Mar. 9. 2010 Date of Publication: 09 August 2010 Date of Current Version: 11 October 2010

POVEZANOST RADA