Published in: LIPIcs, Volume 293, 40th International Symposium on Computational Geometry (SoCG 2024)
Uzu Lim. Strange Random Topology of the Circle. In 40th International Symposium on Computational Geometry (SoCG 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 293, pp. 70:1-70:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{lim:LIPIcs.SoCG.2024.70, author = {Lim, Uzu}, title = {{Strange Random Topology of the Circle}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {70:1--70:17}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-316-4}, ISSN = {1868-8969}, year = {2024}, volume = {293}, editor = {Mulzer, Wolfgang and Phillips, Jeff M.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.70}, URN = {urn:nbn:de:0030-drops-200150}, doi = {10.4230/LIPIcs.SoCG.2024.70}, annote = {Keywords: Topological data analysis, persistent homology, stochastic topology} }
Published in: LIPIcs, Volume 293, 40th International Symposium on Computational Geometry (SoCG 2024)
Sushovan Majhi. Demystifying Latschev’s Theorem: Manifold Reconstruction from Noisy Data. In 40th International Symposium on Computational Geometry (SoCG 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 293, pp. 73:1-73:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
@InProceedings{majhi:LIPIcs.SoCG.2024.73, author = {Majhi, Sushovan}, title = {{Demystifying Latschev’s Theorem: Manifold Reconstruction from Noisy Data}}, booktitle = {40th International Symposium on Computational Geometry (SoCG 2024)}, pages = {73:1--73:16}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-316-4}, ISSN = {1868-8969}, year = {2024}, volume = {293}, editor = {Mulzer, Wolfgang and Phillips, Jeff M.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2024.73}, URN = {urn:nbn:de:0030-drops-200188}, doi = {10.4230/LIPIcs.SoCG.2024.73}, annote = {Keywords: Vietoris-Rips complex, submanifold reconstruction, manifold reconstruction, Latschev’s theorem, homotopy Equivalence} }
Published in: LIPIcs, Volume 164, 36th International Symposium on Computational Geometry (SoCG 2020)
Jisu Kim, Jaehyeok Shin, Frédéric Chazal, Alessandro Rinaldo, and Larry Wasserman. Homotopy Reconstruction via the Cech Complex and the Vietoris-Rips Complex. In 36th International Symposium on Computational Geometry (SoCG 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 164, pp. 54:1-54:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)
@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} }
Published in: LIPIcs, Volume 99, 34th International Symposium on Computational Geometry (SoCG 2018)
Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier. Vietoris-Rips and Cech Complexes of Metric Gluings. In 34th International Symposium on Computational Geometry (SoCG 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 99, pp. 3:1-3:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)
@InProceedings{adamaszek_et_al:LIPIcs.SoCG.2018.3, author = {Adamaszek, Michal and Adams, Henry and Gasparovic, Ellen and Gommel, Maria and Purvine, Emilie and Sazdanovic, Radmila and Wang, Bei and Wang, Yusu and Ziegelmeier, Lori}, title = {{Vietoris-Rips and Cech Complexes of Metric Gluings}}, booktitle = {34th International Symposium on Computational Geometry (SoCG 2018)}, pages = {3:1--3:15}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-066-8}, ISSN = {1868-8969}, year = {2018}, volume = {99}, editor = {Speckmann, Bettina and T\'{o}th, Csaba D.}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SoCG.2018.3}, URN = {urn:nbn:de:0030-drops-87162}, doi = {10.4230/LIPIcs.SoCG.2018.3}, annote = {Keywords: Vietoris-Rips and Cech complexes, metric space gluings and wedge sums, metric graphs, persistent homology} }