Mathijs Wintraecken
Edelsbrunner Group
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12287 |

J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023.
[Published Version]
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| Files available
| DOI
| WoS
2023 | Published | Journal Article | IST-REx-ID: 12763 |

J. D. Boissonnat and M. Wintraecken, “The reach of subsets of manifolds,” Journal of Applied and Computational Topology, vol. 7. Springer Nature, pp. 619–641, 2023.
[Submitted Version]
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| DOI
| Download Submitted Version (ext.)
2023 | Published | Journal Article | IST-REx-ID: 12960 |

J. D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations,” SIAM Journal on Computing, vol. 52, no. 2. Society for Industrial and Applied Mathematics, pp. 452–486, 2023.
[Submitted Version]
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| Files available
| DOI
| Download Submitted Version (ext.)
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2023 | Published | Conference Paper | IST-REx-ID: 13048 |

A. Lieutier and M. Wintraecken, “Hausdorff and Gromov-Hausdorff stable subsets of the medial axis,” in Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Orlando, FL, United States, 2023, pp. 1768–1776.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Conference Paper | IST-REx-ID: 11428 |

E. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “A cautionary tale: Burning the medial axis is unstable,” in 38th International Symposium on Computational Geometry, Berlin, Germany, 2022, vol. 224, p. 66:1-66:9.
[Published Version]
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| Files available
| DOI
2022 | Published | Journal Article | IST-REx-ID: 9649 |

J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL approximations of isomanifolds,” Foundations of Computational Mathematics , vol. 22. Springer Nature, pp. 967–1012, 2022.
[Published Version]
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| Files available
| DOI
| WoS
2021 | Published | Journal Article | IST-REx-ID: 8248 |

J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, and M. Wintraecken, “Local conditions for triangulating submanifolds of Euclidean space,” Discrete and Computational Geometry, vol. 66. Springer Nature, pp. 666–686, 2021.
[Published Version]
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| DOI
| Download Published Version (ext.)
| WoS
2021 | Published | Journal Article | IST-REx-ID: 8940 |

J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds: An elementary and quantified version of Whitney’s method,” Discrete & Computational Geometry, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.
[Published Version]
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| Files available
| DOI
| WoS
2021 | Published | Conference Paper | IST-REx-ID: 9345 |

H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, and M. Wintraecken, “The density fingerprint of a periodic point set,” in 37th International Symposium on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 32:1-32:16.
[Published Version]
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| Files available
| DOI
2021 | Published | Conference Paper | IST-REx-ID: 9441 |

J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations,” in 37th International Symposium on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 17:1-17:16.
[Published Version]
View
| Files available
| DOI
2020 | Published | Journal Article | IST-REx-ID: 7567 |

A. Choudhary, S. Kachanovich, and M. Wintraecken, “Coxeter triangulations have good quality,” Mathematics in Computer Science, vol. 14. Springer Nature, pp. 141–176, 2020.
[Published Version]
View
| Files available
| DOI
2020 | Published | Conference Paper | IST-REx-ID: 7952 |

J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL-approximations of isomanifolds,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
[Published Version]
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| Files available
| DOI
2020 | Published | Journal Article | IST-REx-ID: 8163 |

G. Vegter and M. Wintraecken, “Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes,” Studia Scientiarum Mathematicarum Hungarica, vol. 57, no. 2. Akadémiai Kiadó, pp. 193–199, 2020.
[Published Version]
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| Files available
| DOI
| WoS
2019 | Published | Journal Article | IST-REx-ID: 6515 |

R. Dyer, G. Vegter, and M. Wintraecken, “Simplices modelled on spaces of constant curvature,” Journal of Computational Geometry , vol. 10, no. 1. Carleton University, pp. 223–256, 2019.
[Published Version]
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| Files available
| DOI
2019 | Published | Conference Paper | IST-REx-ID: 6628 |

G. Vegter and M. Wintraecken, “The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds,” in The 31st Canadian Conference in Computational Geometry, Edmonton, Canada, 2019, pp. 275–279.
[Submitted Version]
View
| Files available
2019 | Published | Journal Article | IST-REx-ID: 6671 |

J.-D. Boissonnat, A. Lieutier, and M. Wintraecken, “The reach, metric distortion, geodesic convexity and the variation of tangent spaces,” Journal of Applied and Computational Topology, vol. 3, no. 1–2. Springer Nature, pp. 29–58, 2019.
[Published Version]
View
| Files available
| DOI
2019 | Published | Journal Article | IST-REx-ID: 6672 |

J.-D. Boissonnat, M. Rouxel-Labbé, and M. Wintraecken, “Anisotropic triangulations via discrete Riemannian Voronoi diagrams,” SIAM Journal on Computing, vol. 48, no. 3. Society for Industrial & Applied Mathematics (SIAM), pp. 1046–1097, 2019.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2017 | Published | Journal Article | IST-REx-ID: 1022 |

P. Pranav et al., “The topology of the cosmic web in terms of persistent Betti numbers,” Monthly Notices of the Royal Astronomical Society, vol. 465, no. 4. Oxford University Press, pp. 4281–4310, 2017.
[Submitted Version]
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| DOI
| Download Submitted Version (ext.)
| WoS
Grants
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12287 |

J.-D. Boissonnat, R. Dyer, A. Ghosh, and M. Wintraecken, “Local criteria for triangulating general manifolds,” Discrete & Computational Geometry, vol. 69. Springer Nature, pp. 156–191, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
2023 | Published | Journal Article | IST-REx-ID: 12763 |

J. D. Boissonnat and M. Wintraecken, “The reach of subsets of manifolds,” Journal of Applied and Computational Topology, vol. 7. Springer Nature, pp. 619–641, 2023.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
2023 | Published | Journal Article | IST-REx-ID: 12960 |

J. D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds in Rd in time polynomial in d using Coxeter–Freudenthal–Kuhn triangulations,” SIAM Journal on Computing, vol. 52, no. 2. Society for Industrial and Applied Mathematics, pp. 452–486, 2023.
[Submitted Version]
View
| Files available
| DOI
| Download Submitted Version (ext.)
| WoS
2023 | Published | Conference Paper | IST-REx-ID: 13048 |

A. Lieutier and M. Wintraecken, “Hausdorff and Gromov-Hausdorff stable subsets of the medial axis,” in Proceedings of the 55th Annual ACM Symposium on Theory of Computing, Orlando, FL, United States, 2023, pp. 1768–1776.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Conference Paper | IST-REx-ID: 11428 |

E. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “A cautionary tale: Burning the medial axis is unstable,” in 38th International Symposium on Computational Geometry, Berlin, Germany, 2022, vol. 224, p. 66:1-66:9.
[Published Version]
View
| Files available
| DOI
2022 | Published | Journal Article | IST-REx-ID: 9649 |

J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL approximations of isomanifolds,” Foundations of Computational Mathematics , vol. 22. Springer Nature, pp. 967–1012, 2022.
[Published Version]
View
| Files available
| DOI
| WoS
2021 | Published | Journal Article | IST-REx-ID: 8248 |

J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, and M. Wintraecken, “Local conditions for triangulating submanifolds of Euclidean space,” Discrete and Computational Geometry, vol. 66. Springer Nature, pp. 666–686, 2021.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
2021 | Published | Journal Article | IST-REx-ID: 8940 |

J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Triangulating submanifolds: An elementary and quantified version of Whitney’s method,” Discrete & Computational Geometry, vol. 66, no. 1. Springer Nature, pp. 386–434, 2021.
[Published Version]
View
| Files available
| DOI
| WoS
2021 | Published | Conference Paper | IST-REx-ID: 9345 |

H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, and M. Wintraecken, “The density fingerprint of a periodic point set,” in 37th International Symposium on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 32:1-32:16.
[Published Version]
View
| Files available
| DOI
2021 | Published | Conference Paper | IST-REx-ID: 9441 |

J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations,” in 37th International Symposium on Computational Geometry (SoCG 2021), Virtual, 2021, vol. 189, p. 17:1-17:16.
[Published Version]
View
| Files available
| DOI
2020 | Published | Journal Article | IST-REx-ID: 7567 |

A. Choudhary, S. Kachanovich, and M. Wintraecken, “Coxeter triangulations have good quality,” Mathematics in Computer Science, vol. 14. Springer Nature, pp. 141–176, 2020.
[Published Version]
View
| Files available
| DOI
2020 | Published | Conference Paper | IST-REx-ID: 7952 |

J.-D. Boissonnat and M. Wintraecken, “The topological correctness of PL-approximations of isomanifolds,” in 36th International Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
[Published Version]
View
| Files available
| DOI
2020 | Published | Journal Article | IST-REx-ID: 8163 |

G. Vegter and M. Wintraecken, “Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes,” Studia Scientiarum Mathematicarum Hungarica, vol. 57, no. 2. Akadémiai Kiadó, pp. 193–199, 2020.
[Published Version]
View
| Files available
| DOI
| WoS
2019 | Published | Journal Article | IST-REx-ID: 6515 |

R. Dyer, G. Vegter, and M. Wintraecken, “Simplices modelled on spaces of constant curvature,” Journal of Computational Geometry , vol. 10, no. 1. Carleton University, pp. 223–256, 2019.
[Published Version]
View
| Files available
| DOI
2019 | Published | Conference Paper | IST-REx-ID: 6628 |

G. Vegter and M. Wintraecken, “The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds,” in The 31st Canadian Conference in Computational Geometry, Edmonton, Canada, 2019, pp. 275–279.
[Submitted Version]
View
| Files available
2019 | Published | Journal Article | IST-REx-ID: 6671 |

J.-D. Boissonnat, A. Lieutier, and M. Wintraecken, “The reach, metric distortion, geodesic convexity and the variation of tangent spaces,” Journal of Applied and Computational Topology, vol. 3, no. 1–2. Springer Nature, pp. 29–58, 2019.
[Published Version]
View
| Files available
| DOI
2019 | Published | Journal Article | IST-REx-ID: 6672 |

J.-D. Boissonnat, M. Rouxel-Labbé, and M. Wintraecken, “Anisotropic triangulations via discrete Riemannian Voronoi diagrams,” SIAM Journal on Computing, vol. 48, no. 3. Society for Industrial & Applied Mathematics (SIAM), pp. 1046–1097, 2019.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2017 | Published | Journal Article | IST-REx-ID: 1022 |

P. Pranav et al., “The topology of the cosmic web in terms of persistent Betti numbers,” Monthly Notices of the Royal Astronomical Society, vol. 465, no. 4. Oxford University Press, pp. 4281–4310, 2017.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS