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 ℋ -matrix techniques can successfully be employed to solve very large thin plate spline interpolation problems.
CITATION STYLE
Löhndorf, M., & Melenk, J. M. (2017). On Thin Plate Spline Interpolation. In Lecture Notes in Computational Science and Engineering (Vol. 119, pp. 451–466). Springer Verlag. https://doi.org/10.1007/978-3-319-65870-4_32
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