Shepard operator of least squares thin-plate spline type


We obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin plate spline function. Given some sets of points, we compute some representative subsets of knot points following an algorithm described by J. R. McMahon in 1986.


Teodora Catinas
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy


Scattered data; Shepard operator; least squares approximation; thinplate spline; knot points.

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Malina Andra, Catinas Teodora, Shepard operator of least squares thin-plate spline type, Stud. Univ. Babes-Bolyai Math. 66(2021), No. 2, 257–265


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Univ. Babes-Bolyai Math.

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