English

On thin plate spline interpolation

Numerical Analysis 2018-08-20 v1

Abstract

We present a simple, PDE-based proof of the result [M. Johnson, 2001] that the error estimates of [J. Duchon, 1978] for thin plate spline interpolation can be improved by h1/2h^{1/2}. We illustrate that H{\mathcal H}-matrix techniques can successfully be employed to solve very large thin plate spline interpolation problems

Keywords

Cite

@article{arxiv.1705.05178,
  title  = {On thin plate spline interpolation},
  author = {M. Loehndorf and J. M. Melenk},
  journal= {arXiv preprint arXiv:1705.05178},
  year   = {2018}
}
R2 v1 2026-06-22T19:47:03.472Z