Radial basis functions for the multivariate interpolation of large scattered data sets

DOI10.1016/S0377-0427(01)00485-XzbMath1025.65015OpenAlexW2069016826MaRDI QIDQ1602795

L. Bacchelli Montefusco, Damiana Lazzaro

Publication date: 24 June 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00485-x

zbMATH Keywords

performancenumerical examplesmultivariate interpolationscattered datamultilevel methodlocal interpolationimprovement of numerical algorithmsradia basis function method

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Complexity and performance of numerical algorithms (65Y20)

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Uses Software

• QSHEP2D
• QSHEP3D
• Algorithm 792

Cites Work

• Unnamed Item
• A triangle-based \(C^ 1\) interpolation method
• Error estimates for interpolation by compactly supported radial basis functions of minimal degree
• Multistep scattered data interpolation using compactly supported radial basis functions
• Multilevel interpolation and approximation
• Error estimates and condition numbers for radial basis function interpolation
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Algorithm 661
• Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data
• Multivariate interpolation of large sets of scattered data
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method
• A Parallel Multivariate Interpolation Algorithm With Radial Basis Functions
• Algorithm 792

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