Irregular sampling of band-limited functions on the sphere

Autor:	Kamen G. Ivanov, Pencho Petrushev
Rok vydání:	2014
Předmět:	Uniform norm Degree (graph theory) Iterative method Applied Mathematics Mathematical analysis Convergence (routing) Spherical harmonics Sampling (statistics) Realization (systems) Mathematics Spherical mean
Zdroj:	Applied and Computational Harmonic Analysis. 37:545-562
ISSN:	1063-5203
DOI:	10.1016/j.acha.2014.05.001
Popis:	An iterative algorithm for stable and accurate reconstruction of band-limited functions from irregular samples on the unit 2-d sphere is developed. Geometric rate of convergence in the uniform norm is achieved. It is shown that a MATLAB realization of this algorithms can effectively recover high degree (≥2000) spherical polynomials from their values at sufficiently dense scattered points on the sphere.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f7df0bf8df265b6a22b510e90f992dd0 https://doi.org/10.1016/j.acha.2014.05.001 Zobrazit plný text záznamu Full Text from ScienceDirect