Topological estimation using witness complexes

@inproceedings{Silva2004TopologicalEU,
  title={Topological estimation using witness complexes},
  author={Vin de Silva and Gunnar E. Carlsson},
  booktitle={SPBG},
  year={2004}
}
This paper tackles the problem of computing topological invariants of geometric objects in a robust manner, using only point cloud data sampled from the object. It is now widely recognised that this kind of topological analysis can give qualitative information about data sets which is not readily available by other means. In particular, it can be an aid to visualisation of high dimensional data. Standard simplicial complexes for approximating the topological type of the underlying space (such… CONTINUE READING

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