@inproceedings{9648,
  abstract     = {In this paper, we establish a correspondence between the incremental algorithm for computing AT-models [8,9] and the one for computing persistent homology [6,14,15]. We also present a decremental algorithm for computing AT-models that allows to extend the persistence computation to a wider setting. Finally, we show how to combine incremental and decremental techniques for persistent homology computation.},
  author       = {Gonzalez-Diaz, Rocio and Ion, Adrian and Jimenez, Maria Jose and Poyatos, Regina},
  booktitle    = {Computer Analysis of Images and Patterns},
  isbn         = {9783642236716},
  issn         = {16113349},
  location     = {Seville, Spain},
  pages        = {286--293},
  publisher    = {Springer Nature},
  title        = {{Incremental-decremental algorithm for computing AT-models and persistent homology}},
  doi          = {10.1007/978-3-642-23672-3_35},
  volume       = {6854},
  year         = {2011},
}