Smooth Interpolation of Scattered Data by Local Thin Plate Splines. Franke, R. 8(4):273–281. Paper doi abstract bibtex An algorithm and the corresponding computer program for solution of the scattered data interpolation problem is described. Given points (xk, yk, fk), k = 1,…,N a locally defined function F(x, y) which has the property F(xk, yk) = fk, k = 1,…,N is constructed. The algorithm is based on a weighted sum of locally defined thin plate splines, and yields an interpolation function which is differentiable. The program is available from the author.
@article{frankeSmoothInterpolationScattered1982,
title = {Smooth Interpolation of Scattered Data by Local Thin Plate Splines},
author = {Franke, Richard},
date = {1982},
journaltitle = {Computers \& Mathematics with Applications},
volume = {8},
pages = {273--281},
issn = {0898-1221},
doi = {10.1016/0898-1221(82)90009-8},
url = {https://doi.org/10.1016/0898-1221(82)90009-8},
abstract = {An algorithm and the corresponding computer program for solution of the scattered data interpolation problem is described. Given points (xk, yk, fk), k = 1,…,N a locally defined function F(x, y) which has the property F(xk, yk) = fk, k = 1,…,N is constructed. The algorithm is based on a weighted sum of locally defined thin plate splines, and yields an interpolation function which is differentiable. The program is available from the author.},
keywords = {*imported-from-citeulike-INRMM,~INRMM-MiD:c-14257886,~to-add-doi-URL,data-transformation-modelling,mathematics,spatial-interpolation},
number = {4}
}
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