Achieving accuracy and efficiency in spherical modelling of real data

DOI10.1002/mma.2906zbMath1291.65038OpenAlexW1974457476MaRDI QIDQ5170224

Alessandra De Rossi, Roberto Cavoretto

Publication date: 22 July 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2906

zbMATH Keywords

satellite datapartition of unity methodsscattered data interpolationzonal basis functionslocal methods and algorithms

Mathematics Subject Classification ID

Numerical interpolation (65D05) Algorithms for approximation of functions (65D15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (3)

A meshless interpolation algorithm using a cell-based searching procedure ⋮ Hermite-Birkhoff interpolation on scattered data on the sphere and other manifolds ⋮ A numerical algorithm for multidimensional modeling of scattered data points

Uses Software

• SSRFPACK

Cites Work

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• Approximation on the sphere using radial basis functions plus polynomials
• Fast and accurate interpolation of large scattered data sets on the sphere
• Distributing many points on a sphere
• On power functions and error estimates for radial basis function interpolation
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
• Interpolation on spherical geodesic grids: a comparative study
• Positive definite functions on spheres
• A Stable Algorithm for Flat Radial Basis Functions on a Sphere
• Algorithm 773
• Strictly positive definite functions on spheres in Euclidean spaces
• Scattered Data Approximation

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