Teresa Heiss
Graduate School
Edelsbrunner Group
9 Publications
2024 | Draft | Preprint | IST-REx-ID: 18673 | 
Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv. doi:10.48550/arXiv.2408.16575
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2024 | Published | Journal Article | IST-REx-ID: 17190 |
Edelsbrunner H, Garber A, Ghafaris M, Heiss T, Saghafiant M, Wintraecken M. Brillouin zones of integer lattices and their perturbations. SIAM Journal on Discrete Mathematics. 2024;38(2):1784-1807. doi:10.1137/22M1489071
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2024 | Published | Thesis | IST-REx-ID: 18667 |
Heiss T. New methods for applying topological data analysis to materials science. 2024. doi:10.15479/at:ista:18667
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2024 | Published | Journal Article | IST-REx-ID: 14345 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2024;72:29-48. doi:10.1007/s00454-023-00566-1
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2022 | Published | Book Chapter | IST-REx-ID: 11440 |
Bleile B, Garin A, Heiss T, Maggs K, Robins V. The persistent homology of dual digital image constructions. In: Gasparovic E, Robins V, Turner K, eds. Research in Computational Topology 2. Vol 30. 1st ed. AWMS. Cham: Springer Nature; 2022:1-26. doi:10.1007/978-3-030-95519-9_1
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2022 | Published | Conference Paper | IST-REx-ID: 10828 |
Heiss T, Tymochko S, Story B, et al. The impact of changes in resolution on the persistent homology of images. In: 2021 IEEE International Conference on Big Data. IEEE; 2022:3824-3834. doi:10.1109/BigData52589.2021.9671483
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2021 | Published | Journal Article | IST-REx-ID: 10071 |
Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. How to tutorial-a-thon. Notices of the American Mathematical Society. 2021;68(9):1511-1514. doi:10.1090/noti2349
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2021 | Published | Conference Paper | IST-REx-ID: 9345 |
Edelsbrunner H, Heiss T, Kurlin V, Smith P, Wintraecken M. The density fingerprint of a periodic point set. In: 37th International Symposium on Computational Geometry (SoCG 2021). Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021:32:1-32:16. doi:10.4230/LIPIcs.SoCG.2021.32
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2017 | Published | Conference Paper | IST-REx-ID: 833 |
Heiss T, Wagner H. Streaming algorithm for Euler characteristic curves of multidimensional images. In: Felsberg M, Heyden A, Krüger N, eds. Vol 10424. Springer; 2017:397-409. doi:10.1007/978-3-319-64689-3_32
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1 Grants
Persistent Homology
2016-08-15 – 2016-09-23
Österreichische Forschungsförderungsgesellschaft
9 Publications
2024 | Draft | Preprint | IST-REx-ID: 18673 |
Edelsbrunner H, Heiss T. Merge trees of periodic filtrations. arXiv. doi:10.48550/arXiv.2408.16575
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 17190 |
Edelsbrunner H, Garber A, Ghafaris M, Heiss T, Saghafiant M, Wintraecken M. Brillouin zones of integer lattices and their perturbations. SIAM Journal on Discrete Mathematics. 2024;38(2):1784-1807. doi:10.1137/22M1489071
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Thesis | IST-REx-ID: 18667 |
Heiss T. New methods for applying topological data analysis to materials science. 2024. doi:10.15479/at:ista:18667
[Published Version]
View
| Files available
| DOI
2024 | Published | Journal Article | IST-REx-ID: 14345 |
Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2024;72:29-48. doi:10.1007/s00454-023-00566-1
[Published Version]
View
| Files available
| DOI
| WoS
| PubMed | Europe PMC
| arXiv
2022 | Published | Book Chapter | IST-REx-ID: 11440 |
Bleile B, Garin A, Heiss T, Maggs K, Robins V. The persistent homology of dual digital image constructions. In: Gasparovic E, Robins V, Turner K, eds. Research in Computational Topology 2. Vol 30. 1st ed. AWMS. Cham: Springer Nature; 2022:1-26. doi:10.1007/978-3-030-95519-9_1
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Conference Paper | IST-REx-ID: 10828 |
Heiss T, Tymochko S, Story B, et al. The impact of changes in resolution on the persistent homology of images. In: 2021 IEEE International Conference on Big Data. IEEE; 2022:3824-3834. doi:10.1109/BigData52589.2021.9671483
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 10071 |
Adams H, Kourimska H, Heiss T, Percival S, Ziegelmeier L. How to tutorial-a-thon. Notices of the American Mathematical Society. 2021;68(9):1511-1514. doi:10.1090/noti2349
[Published Version]
View
| DOI
| Download Published Version (ext.)
2021 | Published | Conference Paper | IST-REx-ID: 9345 |
Edelsbrunner H, Heiss T, Kurlin V, Smith P, Wintraecken M. The density fingerprint of a periodic point set. In: 37th International Symposium on Computational Geometry (SoCG 2021). Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021:32:1-32:16. doi:10.4230/LIPIcs.SoCG.2021.32
[Published Version]
View
| Files available
| DOI
2017 | Published | Conference Paper | IST-REx-ID: 833 |
Heiss T, Wagner H. Streaming algorithm for Euler characteristic curves of multidimensional images. In: Felsberg M, Heyden A, Krüger N, eds. Vol 10424. Springer; 2017:397-409. doi:10.1007/978-3-319-64689-3_32
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS