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An Examination of New Paradigms for Spline Approximations

Christoph Witzgall1, David E Gilsinn1, Marjorie A McClain1

  • 1National Institute of Standards and Technology, Gaithersburg, MD 20899-8910.

Journal of Research of the National Institute of Standards and Technology
|June 9, 2016
PubMed
Summary

This study proposes relaxation-based algorithms for calculating Lavery splines in univariate and bivariate cases. The bivariate spline approach handles irregularly spaced data using Hseih-Clough-Tocher elements for improved approximation.

Keywords:
Delaunay triangulationGauss-Seidel iterationHsieh-Clough-Tocher elementsLavery splinesbivariate splinescurve fittingirregular datanon-oscillatory splinespoint cloudssurface fittingthin beamthin platetriangulated irregular networks

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