@inproceedings{2155,
  abstract     = {Given a finite set of points in Rn and a positive radius, we study the Čech, Delaunay-Čech, alpha, and wrap complexes as instances of a generalized discrete Morse theory. We prove that the latter three complexes are simple-homotopy equivalent. Our results have applications in topological data analysis and in the reconstruction of shapes from sampled data. Copyright is held by the owner/author(s).},
  author       = {Bauer, Ulrich and Edelsbrunner, Herbert},
  booktitle    = {Proceedings of the Annual Symposium on Computational Geometry},
  location     = {Kyoto, Japan},
  pages        = {484 -- 490},
  publisher    = {ACM},
  title        = {{The morse theory of Čech and Delaunay filtrations}},
  doi          = {10.1145/2582112.2582167},
  year         = {2014},
}