Smooth interpolation of scattered data by local thin plate splines

DOI10.1016/0898-1221(82)90009-8zbMath0482.65008OpenAlexW2027901189MaRDI QIDQ1162788

Richard Franke

Publication date: 1982

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(82)90009-8

zbMATH Keywords

algorithmthin plate splinessmooth interpolationscattered data interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Related Items

General variational approach to the interpolation problem, Multidimensional spline integration of scattered data, An Algorithm for C 1 Surface Approximation with Large Variations, Moving surface spline interpolation based on Green's function, Approximation of surfaces with fault(s) and/or rapidly varying data, using a segmentation process, \(D^{m}\)-splines and the finite element method, Derivative moments in turbulent shear flows, Interpolating scattered multivariate data as a function of time, The map and blend scattered data interpolant on a sphere, The parameter \(R^ 2\) in multiquadric interpolation, Local hybrid approximation for scattered data fitting with bivariate splines, A distance-based model for spatial prediction using radial basis functions

Uses Software

• Algorithm 526

Cites Work

• Multivariate interpolation at arbitrary points made simple
• A Method for Interpolating Scattered Data Based Upon a Minimum Norm Network
• Smooth interpolation of large sets of scattered data
• Scattered Data Interpolation: Tests of Some Method
• Locally Determined Smooth Interpolation at Irregularly Spaced Points in Several Variables
• A Method of Bivariate Interpolation and Smooth Surface Fitting for Irregularly Distributed Data Points
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