Hierarchical Simplicial Meshes and Multidimensional Interpolation

@inproceedings{AtalayHierarchicalSM,
  title={Hierarchical Simplicial Meshes and Multidimensional Interpolation},
  author={F. Betul Atalay and David M. Mount}
}
We consider the design of a data structure for answering interpolation queries. In this problem, we assume that we can sample points from real multidimensional vector field, in which each sample is associated with some scalaror vector-valued datum. We wish to store these points in a data structure, so that given a query point, we can efficiently interpolate its data value, based on the values at nearby samples. We consider a simple and practical approach, based on regular hierarchical… CONTINUE READING

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