@InProceedings{kim_et_al:LIPIcs.SoCG.2020.54,
author = {Kim, Jisu and Shin, Jaehyeok and Chazal, Fr\'{e}d\'{e}ric and Rinaldo, Alessandro and Wasserman, Larry},
title = {{Homotopy Reconstruction via the Cech Complex and the Vietoris-Rips Complex}},
booktitle = {36th International Symposium on Computational Geometry (SoCG 2020)},
pages = {54:1--54:19},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-143-6},
ISSN = {1868-8969},
year = {2020},
volume = {164},
editor = {Cabello, Sergio and Chen, Danny Z.},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2020.54},
URN = {urn:nbn:de:0030-drops-122129},
doi = {10.4230/LIPIcs.SoCG.2020.54},
annote = {Keywords: Computational topology, Homotopy reconstruction, Homotopy Equivalence, Vietoris-Rips complex, \v{C}ech complex, Reach, \mu-reach, Nerve Theorem, Offset, Double offset, Consistency}
}