Natural neighbor extrapolation using ghost points

@article{Bobach2009NaturalNE,
  title={Natural neighbor extrapolation using ghost points},
  author={Tom Bobach and Gerald E. Farin and Dianne Hansford and Georg Umlauf},
  journal={Computer-Aided Design},
  year={2009},
  volume={41},
  pages={350-365}
}
Among locally supported scattered data schemes, natural neighbor interpolation has some unique features that makes it interesting for a range of applications. However, its restriction to the convex hull of the data sites is a limitation that has not yet been satisfyingly overcome. We use this setting to discuss some aspects of scattered data extrapolation in general, compare existing methods, and propose a framework for the extrapolation of natural neighbor interpolants on the basis of dynamic… CONTINUE READING

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