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Knot Selection for Least Squares Thin Plate Splines

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Publication:3991046
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DOI10.1137/0913026zbMath0796.65007OpenAlexW2044175388MaRDI QIDQ3991046

John R. McMahon, Richard Franke

Publication date: 28 June 1992

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ebbff092e7c1881e8835e2d37b3c41d750c4bc6b


zbMATH Keywords

least squaresthin plate splinesDirichlet tessellationscattered dataknot selection


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10)


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Least squares surface approximation to scattered data using multiquadratic functions ⋮ Implicit fitting of point cloud data using radial Hermite basis functions ⋮ Smooth surface modeling of DEMs based on a regularized least squares method of thin plate spline ⋮ A robust multiquadric method for digital elevation model construction ⋮ Local hybrid approximation for scattered data fitting with bivariate splines ⋮ Normalized implicit eigenvector least squares operators for noisy scattered data: Radial basis functions



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