Mathijs Wintraecken

Edelsbrunner Group

22 Publications

Mark all

[22]
2024 | Published | Conference Paper | IST-REx-ID: 17144 | OA
The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms
H. Kourimska, A. Lieutier, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[21]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, p. 11:1-11:19.
[Published Version] View | Files available | DOI | arXiv
 
[20]
2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
The ultimate frontier: An optimality construction for homotopy inference (media exposition)
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI
 
[19]
2024 | Published | Journal Article | IST-REx-ID: 17190 | OA
Brillouin zones of integer lattices and their perturbations
H. Edelsbrunner, A. Garber, M. Ghafaris, T. Heiss, M. Saghafiant, M. Wintraecken, SIAM Journal on Discrete Mathematics 38 (2024) 1784–1807.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[18]
2023 | Published | Conference Paper | IST-REx-ID: 13048 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2023 | Published | Journal Article | IST-REx-ID: 12960 | OA
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.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | WoS
 
[16]
2023 | Published | Journal Article | IST-REx-ID: 12287 | OA
Local criteria for triangulating general manifolds
J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
[Published Version] View | Files available | DOI | WoS
 
[15]
2023 | Published | Journal Article | IST-REx-ID: 12763 | OA
The reach of subsets of manifolds
J.D. Boissonnat, M. Wintraecken, Journal of Applied and Computational Topology 7 (2023) 619–641.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2022 | Published | Journal Article | IST-REx-ID: 9649 | OA
The topological correctness of PL approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012.
[Published Version] View | Files available | DOI | WoS
 
[13]
2022 | Published | Conference Paper | IST-REx-ID: 11428 | OA
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.
[Published Version] View | Files available | DOI
 
[12]
2021 | Published | Conference Paper | IST-REx-ID: 9441 | OA
Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2021, p. 17:1-17:16.
[Published Version] View | Files available | DOI
 
[11]
2021 | Published | Journal Article | IST-REx-ID: 8940 | OA
Triangulating submanifolds: An elementary and quantified version of Whitney’s method
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete & Computational Geometry 66 (2021) 386–434.
[Published Version] View | Files available | DOI | WoS
 
[10]
2021 | Published | Conference Paper | IST-REx-ID: 9345 | OA
The density fingerprint of a periodic point set
H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16.
[Published Version] View | Files available | DOI
 
[9]
2021 | Published | Journal Article | IST-REx-ID: 8248 | OA
Local conditions for triangulating submanifolds of Euclidean space
J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete and Computational Geometry 66 (2021) 666–686.
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
[8]
2020 | Published | Journal Article | IST-REx-ID: 8163 | OA
Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes
G. Vegter, M. Wintraecken, Studia Scientiarum Mathematicarum Hungarica 57 (2020) 193–199.
[Published Version] View | Files available | DOI | WoS
 
[7]
2020 | Published | Journal Article | IST-REx-ID: 7567 | OA
Coxeter triangulations have good quality
A. Choudhary, S. Kachanovich, M. Wintraecken, Mathematics in Computer Science 14 (2020) 141–176.
[Published Version] View | Files available | DOI
 
[6]
2020 | Published | Conference Paper | IST-REx-ID: 7952 | OA
The topological correctness of PL-approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
[Published Version] View | Files available | DOI
 
[5]
2019 | Published | Journal Article | IST-REx-ID: 6671 | OA
The reach, metric distortion, geodesic convexity and the variation of tangent spaces
J.-D. Boissonnat, A. Lieutier, M. Wintraecken, Journal of Applied and Computational Topology 3 (2019) 29–58.
[Published Version] View | Files available | DOI
 
[4]
2019 | Published | Journal Article | IST-REx-ID: 6515 | OA
Simplices modelled on spaces of constant curvature
R. Dyer, G. Vegter, M. Wintraecken, Journal of Computational Geometry 10 (2019) 223–256.
[Published Version] View | Files available | DOI
 
[3]
2019 | Published | Conference Paper | IST-REx-ID: 6628 | OA
The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds
G. Vegter, M. Wintraecken, in:, The 31st Canadian Conference in Computational Geometry, 2019, pp. 275–279.
[Submitted Version] View | Files available
 
[2]
2019 | Published | Journal Article | IST-REx-ID: 6672 | OA
Anisotropic triangulations via discrete Riemannian Voronoi diagrams
J.-D. Boissonnat, M. Rouxel-Labbé, M. Wintraecken, SIAM Journal on Computing 48 (2019) 1046–1097.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2017 | Published | Journal Article | IST-REx-ID: 1022 | OA
The topology of the cosmic web in terms of persistent Betti numbers
P. Pranav, H. Edelsbrunner, R. Van De Weygaert, G. Vegter, M. Kerber, B. Jones, M. Wintraecken, Monthly Notices of the Royal Astronomical Society 465 (2017) 4281–4310.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
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22 Publications

Mark all

[22]
2024 | Published | Conference Paper | IST-REx-ID: 17144 | OA
The medial axis of any closed bounded set Is Lipschitz stable with respect to the Hausdorff distance Under ambient diffeomorphisms
H. Kourimska, A. Lieutier, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[21]
2024 | Published | Conference Paper | IST-REx-ID: 17170 | OA
Tight bounds for the learning of homotopy à la Niyogi, Smale, and Weinberger for subsets of euclidean spaces and of Riemannian manifolds
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, p. 11:1-11:19.
[Published Version] View | Files available | DOI | arXiv
 
[20]
2024 | Published | Conference Paper | IST-REx-ID: 18097 | OA
The ultimate frontier: An optimality construction for homotopy inference (media exposition)
D. Attali, H. Kourimska, C.D. Fillmore, I. Ghosh, A. Lieutier, E.R. Stephenson, M. Wintraecken, in:, 40th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.
[Published Version] View | Files available | DOI
 
[19]
2024 | Published | Journal Article | IST-REx-ID: 17190 | OA
Brillouin zones of integer lattices and their perturbations
H. Edelsbrunner, A. Garber, M. Ghafaris, T. Heiss, M. Saghafiant, M. Wintraecken, SIAM Journal on Discrete Mathematics 38 (2024) 1784–1807.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[18]
2023 | Published | Conference Paper | IST-REx-ID: 13048 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[17]
2023 | Published | Journal Article | IST-REx-ID: 12960 | OA
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.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | WoS
 
[16]
2023 | Published | Journal Article | IST-REx-ID: 12287 | OA
Local criteria for triangulating general manifolds
J.-D. Boissonnat, R. Dyer, A. Ghosh, M. Wintraecken, Discrete & Computational Geometry 69 (2023) 156–191.
[Published Version] View | Files available | DOI | WoS
 
[15]
2023 | Published | Journal Article | IST-REx-ID: 12763 | OA
The reach of subsets of manifolds
J.D. Boissonnat, M. Wintraecken, Journal of Applied and Computational Topology 7 (2023) 619–641.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[14]
2022 | Published | Journal Article | IST-REx-ID: 9649 | OA
The topological correctness of PL approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, Foundations of Computational Mathematics 22 (2022) 967–1012.
[Published Version] View | Files available | DOI | WoS
 
[13]
2022 | Published | Conference Paper | IST-REx-ID: 11428 | OA
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.
[Published Version] View | Files available | DOI
 
[12]
2021 | Published | Conference Paper | IST-REx-ID: 9441 | OA
Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2021, p. 17:1-17:16.
[Published Version] View | Files available | DOI
 
[11]
2021 | Published | Journal Article | IST-REx-ID: 8940 | OA
Triangulating submanifolds: An elementary and quantified version of Whitney’s method
J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, Discrete & Computational Geometry 66 (2021) 386–434.
[Published Version] View | Files available | DOI | WoS
 
[10]
2021 | Published | Conference Paper | IST-REx-ID: 9345 | OA
The density fingerprint of a periodic point set
H. Edelsbrunner, T. Heiss, V. Kurlin , P. Smith, M. Wintraecken, in:, 37th International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16.
[Published Version] View | Files available | DOI
 
[9]
2021 | Published | Journal Article | IST-REx-ID: 8248 | OA
Local conditions for triangulating submanifolds of Euclidean space
J.-D. Boissonnat, R. Dyer, A. Ghosh, A. Lieutier, M. Wintraecken, Discrete and Computational Geometry 66 (2021) 666–686.
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
[8]
2020 | Published | Journal Article | IST-REx-ID: 8163 | OA
Refutation of a claim made by Fejes Tóth on the accuracy of surface meshes
G. Vegter, M. Wintraecken, Studia Scientiarum Mathematicarum Hungarica 57 (2020) 193–199.
[Published Version] View | Files available | DOI | WoS
 
[7]
2020 | Published | Journal Article | IST-REx-ID: 7567 | OA
Coxeter triangulations have good quality
A. Choudhary, S. Kachanovich, M. Wintraecken, Mathematics in Computer Science 14 (2020) 141–176.
[Published Version] View | Files available | DOI
 
[6]
2020 | Published | Conference Paper | IST-REx-ID: 7952 | OA
The topological correctness of PL-approximations of isomanifolds
J.-D. Boissonnat, M. Wintraecken, in:, 36th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
[Published Version] View | Files available | DOI
 
[5]
2019 | Published | Journal Article | IST-REx-ID: 6671 | OA
The reach, metric distortion, geodesic convexity and the variation of tangent spaces
J.-D. Boissonnat, A. Lieutier, M. Wintraecken, Journal of Applied and Computational Topology 3 (2019) 29–58.
[Published Version] View | Files available | DOI
 
[4]
2019 | Published | Journal Article | IST-REx-ID: 6515 | OA
Simplices modelled on spaces of constant curvature
R. Dyer, G. Vegter, M. Wintraecken, Journal of Computational Geometry 10 (2019) 223–256.
[Published Version] View | Files available | DOI
 
[3]
2019 | Published | Conference Paper | IST-REx-ID: 6628 | OA
The extrinsic nature of the Hausdorff distance of optimal triangulations of manifolds
G. Vegter, M. Wintraecken, in:, The 31st Canadian Conference in Computational Geometry, 2019, pp. 275–279.
[Submitted Version] View | Files available
 
[2]
2019 | Published | Journal Article | IST-REx-ID: 6672 | OA
Anisotropic triangulations via discrete Riemannian Voronoi diagrams
J.-D. Boissonnat, M. Rouxel-Labbé, M. Wintraecken, SIAM Journal on Computing 48 (2019) 1046–1097.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[1]
2017 | Published | Journal Article | IST-REx-ID: 1022 | OA
The topology of the cosmic web in terms of persistent Betti numbers
P. Pranav, H. Edelsbrunner, R. Van De Weygaert, G. Vegter, M. Kerber, B. Jones, M. Wintraecken, Monthly Notices of the Royal Astronomical Society 465 (2017) 4281–4310.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
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