On Thin Plate Spline Interpolation

  • M. Löhndorf
  • J. M. Melenk
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 119)


We present a simple, PDE-based proof of the result (Math Comput 70(234):719–737, 2001) by Johnson that the error estimates of Duchon (RAIRO Anal Numér 12(4):325–334, 1978) for thin plate spline interpolation can be improved by h1∕2. We illustrate that \(\mathcal{H}\)-matrix techniques can successfully be employed to solve very large thin plate spline interpolation problems.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • M. Löhndorf
    • 1
  • J. M. Melenk
    • 2
  1. 1.Kapsch TrafficComWienAustria
  2. 2.Technische Universität WienWienAustria

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