Aliasing effects and sampling theorems of spherical random fields when sampled on a finite grid

DOI10.1023/A:1003171131391zbMath0890.62073OpenAlexW2015882865MaRDI QIDQ1370554

Ta-Hsin Li, Gerald R. North

Publication date: 26 October 1997

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1003171131391

zbMATH Keywords

trendGauss quadraturespectral analysisaliasing errorsLaplace seriessampling theoremsspherical harmonics expansionfinite gridband-limited spherical random field

Mathematics Subject Classification ID

Random fields (60G60) Random fields; image analysis (62M40)

Related Items (4)

Application of fast spherical Fourier transform to density estimation ⋮ Data generation for axially symmetric processes on the sphere ⋮ A simplified representation of the covariance structure of axially symmetric processes on the sphere ⋮ Aliasing effects for random fields over spheres of arbitrary dimension

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