Neighborhood discontinuities in bivariate interpolation of scattered observations

@article{Philip1987NeighborhoodDI,
  title={Neighborhood discontinuities in bivariate interpolation of scattered observations},
  author={G. M. Philip and D. Watson},
  journal={Mathematical Geology},
  year={1987},
  volume={19},
  pages={69-74}
}
Because of the need for computational efficiency, bivariate interpolation methods applied to scattered observations often involve two stages. Initially the variable is estimated at regular grid nodes using a running subset of data (usually of fixed number). This, however, will produce discontinuities in the interpolated surface. Thus a second stage, curvilinear interpolation technique, is applied to estimated values to smooth out the effect of discontinuities. Such problems can be overcome… Expand
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