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251 Publications
2023 | Journal Article | IST-REx-ID: 12763
The reach of subsets of manifolds
J.D. Boissonnat, M. Wintraecken, Journal of Applied and Computational Topology (2023).
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J.D. Boissonnat, M. Wintraecken, Journal of Applied and Computational Topology (2023).
2023 | Conference Paper | IST-REx-ID: 13048 |

Hausdorff and Gromov-Hausdorff stable subsets of the medial axis
A. Lieutier, M. Wintraecken, in:, Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, 2023, pp. 1768–1776.
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A. Lieutier, M. Wintraecken, in:, Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Association for Computing Machinery, 2023, pp. 1768–1776.
2023 | Journal Article | IST-REx-ID: 13165 |

Successive vertex orderings of fully regular graphs
L. Fang, H. Huang, J. Pach, G. Tardos, J. Zuo, Journal of Combinatorial Theory. Series A 199 (2023).
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L. Fang, H. Huang, J. Pach, G. Tardos, J. Zuo, Journal of Combinatorial Theory. Series A 199 (2023).
2023 | Journal Article | IST-REx-ID: 12086 |

A simple algorithm for higher-order Delaunay mosaics and alpha shapes
H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295.
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H. Edelsbrunner, G.F. Osang, Algorithmica 85 (2023) 277–295.
2023 | Journal Article | IST-REx-ID: 13182 |

Geometric characterization of the persistence of 1D maps
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology (2023).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Journal of Applied and Computational Topology (2023).
2023 | Journal Article | IST-REx-ID: 12287 |

Local criteria for triangulating general manifolds
J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
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J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
2023 | Conference Paper | IST-REx-ID: 12548 |

Visual analytics of mobility network changes observed using mobile phone data during COVID-19 pandemic
M. Forghani, C. Claramunt, F. Karimipour, G. Heiler, in:, 2022 IEEE International Conference on Data Mining Workshops, Institute of Electrical and Electronics Engineers, 2023.
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M. Forghani, C. Claramunt, F. Karimipour, G. Heiler, in:, 2022 IEEE International Conference on Data Mining Workshops, Institute of Electrical and Electronics Engineers, 2023.
2023 | Journal Article | IST-REx-ID: 12709 |

Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry (2023).
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R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry (2023).
2023 | Journal Article | IST-REx-ID: 12764 |

Discrete yamabe problem for polyhedral surfaces
H. Kourimska, Discrete and Computational Geometry (2023).
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H. Kourimska, Discrete and Computational Geometry (2023).
2023 | Journal Article | IST-REx-ID: 12960
Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations
J.D. Boissonnat, S. Kachanovich, M. Wintraecken, SIAM Journal on Computing 52 (2023) 452–486.
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J.D. Boissonnat, S. Kachanovich, M. Wintraecken, SIAM Journal on Computing 52 (2023) 452–486.
2023 | Journal Article | IST-REx-ID: 13134
Discrete analytical objects in the body-centered cubic grid
L. Čomić, G. Largeteau-Skapin, R. Zrour, R. Biswas, E. Andres, Pattern Recognition 142 (2023).
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L. Čomić, G. Largeteau-Skapin, R. Zrour, R. Biswas, E. Andres, Pattern Recognition 142 (2023).
2023 | Journal Article | IST-REx-ID: 12544 |

Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives
P. Koehl, A. Akopyan, H. Edelsbrunner, Journal of Chemical Information and Modeling 63 (2023) 973–985.
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| PubMed | Europe PMC
P. Koehl, A. Akopyan, H. Edelsbrunner, Journal of Chemical Information and Modeling 63 (2023) 973–985.
2023 | Thesis | IST-REx-ID: 14226
Generalizing medial axes with homology switches
E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.
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E.R. Stephenson, Generalizing Medial Axes with Homology Switches, Institute of Science and Technology Austria, 2023.
2023 | Journal Article | IST-REx-ID: 14345 |

On angles in higher order Brillouin tessellations and related tilings in the plane
H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry (2023).
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H. Edelsbrunner, A. Garber, M. Ghafari, T. Heiss, M. Saghafian, Discrete and Computational Geometry (2023).
2023 | Journal Article | IST-REx-ID: 14362 |

Weakly weighted generalised quasi-metric spaces and semilattices
I. Castellano, A. Giordano Bruno, N. Zava, Theoretical Computer Science 977 (2023).
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I. Castellano, A. Giordano Bruno, N. Zava, Theoretical Computer Science 977 (2023).
2022 | Conference Paper | IST-REx-ID: 11428 |

A cautionary tale: Burning the medial axis is unstable
E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, X. Goaoc, M. Kerber (Eds.), 38th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 66:1-66:9.
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E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, X. Goaoc, M. Kerber (Eds.), 38th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 66:1-66:9.
2022 | Book (Editor) | IST-REx-ID: 11429
Web and Wireless Geographical Information Systems
F. Karimipour, S. Storandt, eds., Web and Wireless Geographical Information Systems, 1st ed., Springer Nature, Cham, 2022.
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F. Karimipour, S. Storandt, eds., Web and Wireless Geographical Information Systems, 1st ed., Springer Nature, Cham, 2022.
2022 | Book Chapter | IST-REx-ID: 11440 |

The persistent homology of dual digital image constructions
B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, in:, E. Gasparovic, V. Robins, K. Turner (Eds.), Research in Computational Topology 2, 1st ed., Springer Nature, Cham, 2022, pp. 1–26.
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B. Bleile, A. Garin, T. Heiss, K. Maggs, V. Robins, in:, E. Gasparovic, V. Robins, K. Turner (Eds.), Research in Computational Topology 2, 1st ed., Springer Nature, Cham, 2022, pp. 1–26.
2022 | Journal Article | IST-REx-ID: 11658 |

Depth in arrangements: Dehn–Sommerville–Euler relations with applications
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, Leibniz International Proceedings on Mathematics (n.d.).
2022 | Journal Article | IST-REx-ID: 11660 |

A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).
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R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, LIPIcs (n.d.).