Spherical interpolation using the partition of unity method: an efficient and flexible algorithm

DOI10.1016/j.aml.2011.11.006zbMath1251.65008OpenAlexW2001935201MaRDI QIDQ452900

Roberto Cavoretto, Alessandra De Rossi

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.006

zbMATH Keywords

numerical experimentspartition of unity methodfast interpolation algorithmsscattered data interpolationspherical radial basis functions

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)

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Uses Software

• Matlab

Cites Work

• Fast and accurate interpolation of large scattered data sets on the sphere
• Distributing many points on a sphere
• The partition of unity finite element method: basic theory and applications
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
• LOCAL RADIAL BASIS FUNCTION APPROXIMATION ON THE SPHERE
• A Stable Algorithm for Flat Radial Basis Functions on a Sphere
• Locally Determined Smooth Interpolation at Irregularly Spaced Points in Several Variables
• THE PARTITION OF UNITY METHOD
• Scattered Data Approximation
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