Scalar Field Analysis over Point Cloud Data

@article{Chazal2011ScalarFA,
  title={Scalar Field Analysis over Point Cloud Data},
  author={Fr{\'e}d{\'e}ric Chazal and Leonidas J. Guibas and Steve Oudot and Primoz Skraba},
  journal={Discrete & Computational Geometry},
  year={2011},
  volume={46},
  pages={743-775}
}
Given a real-valued function f defined over some metric space X, is it possible to recover some structural information about f from the sole information of its values at a finite set L ⊆ X of sample points, whose locations are only known through their pairwise distances in X? We provide a positive answer to this question. More precisely, taking advantage of… CONTINUE READING