Michael Kerber
Edelsbrunner Group
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |
Corbet R, Kerber M, Lesnick M, Osang GF. Computing the multicover bifiltration. Discrete and Computational Geometry. 2023;70:376-405. doi:10.1007/s00454-022-00476-8
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |
Kerber M, Edelsbrunner H. 3D kinetic alpha complexes and their implementation. In: 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. Society of Industrial and Applied Mathematics; 2013:70-77. doi:10.1137/1.9781611972931.6
[Submitted Version]
View
| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 2013;46(4):435-447. doi:10.1016/j.comgeo.2012.02.010
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3115 |
Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate offsets. Discrete & Computational Geometry. 2012;48(4):964-989. doi:10.1007/s00454-012-9441-5
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |
Brown G, Kerber M, Reid M. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 2012;148(4):1171-1194. doi:10.1112/S0010437X11007226
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |
Edelsbrunner H, Kerber M. Alexander duality for functions: The persistent behavior of land and water and shore. In: Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry . ACM; 2012:249-258. doi:10.1145/2261250.2261287
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3256 |
Edelsbrunner H, Kerber M. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 2012;47(2):393-414. doi:10.1007/s00454-011-9382-4
[Submitted Version]
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| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |
Kerber M, Sagraloff M. A worst case bound for topology computation of algebraic curves. Journal of Symbolic Computation. 2012;47(3):239-258. doi:10.1016/j.jsc.2011.11.001
[Preprint]
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| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
Chen C, Kerber M. Persistent homology computation with a twist. In: TU Dortmund; 2011:197-200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |
Berberich E, Hemmer M, Kerber M. A generic algebraic kernel for non linear geometric applications. In: ACM; 2011:179-186. doi:10.1145/1998196.1998224
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |
Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate offsets. In: Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry. ACM; 2011:187-196. doi:10.1145/1998196.1998225
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |
Kerber M, Sagraloff M. Root refinement for real polynomials. In: Springer; 2011:209-216. doi:10.1145/1993886.1993920
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |
Kerber M, Sagraloff M. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 2011;27(3):419-430. doi:10.1007/s00373-011-1020-7
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
Chen C, Kerber M. An output sensitive algorithm for persistent homology. In: ACM; 2011:207-216. doi:10.1145/1998196.1998228
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |
Edelsbrunner H, Kerber M. Covering and packing with spheres by diagonal distortion in R^n. In: Calude C, Rozenberg G, Salomaa A, eds. Rainbow of Computer Science. Vol 6570. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday. Springer; 2011:20-35. doi:10.1007/978-3-642-19391-0_2
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |
Bendich P, Edelsbrunner H, Kerber M, Patel A. Persistent homology under non-uniform error. In: Vol 6281. Springer; 2010:12-23. doi:10.1007/978-3-642-15155-2_2
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
Berberich E, Halperin D, Kerber M, Pogalnikova R. Polygonal reconstruction from approximate offsets. In: TU Dortmund; 2010:12-23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |
Bendich P, Edelsbrunner H, Kerber M. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 2010;16(6):1251-1260. doi:10.1109/TVCG.2010.139
[Submitted Version]
View
| Files available
| DOI
Grants
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |
Corbet R, Kerber M, Lesnick M, Osang GF. Computing the multicover bifiltration. Discrete and Computational Geometry. 2023;70:376-405. doi:10.1007/s00454-022-00476-8
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |
Kerber M, Edelsbrunner H. 3D kinetic alpha complexes and their implementation. In: 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. Society of Industrial and Applied Mathematics; 2013:70-77. doi:10.1137/1.9781611972931.6
[Submitted Version]
View
| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 2013;46(4):435-447. doi:10.1016/j.comgeo.2012.02.010
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3115 |
Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate offsets. Discrete & Computational Geometry. 2012;48(4):964-989. doi:10.1007/s00454-012-9441-5
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |
Brown G, Kerber M, Reid M. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 2012;148(4):1171-1194. doi:10.1112/S0010437X11007226
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |
Edelsbrunner H, Kerber M. Alexander duality for functions: The persistent behavior of land and water and shore. In: Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry . ACM; 2012:249-258. doi:10.1145/2261250.2261287
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3256 |
Edelsbrunner H, Kerber M. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 2012;47(2):393-414. doi:10.1007/s00454-011-9382-4
[Submitted Version]
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |
Kerber M, Sagraloff M. A worst case bound for topology computation of algebraic curves. Journal of Symbolic Computation. 2012;47(3):239-258. doi:10.1016/j.jsc.2011.11.001
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
Chen C, Kerber M. Persistent homology computation with a twist. In: TU Dortmund; 2011:197-200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |
Berberich E, Hemmer M, Kerber M. A generic algebraic kernel for non linear geometric applications. In: ACM; 2011:179-186. doi:10.1145/1998196.1998224
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |
Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate offsets. In: Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry. ACM; 2011:187-196. doi:10.1145/1998196.1998225
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |
Kerber M, Sagraloff M. Root refinement for real polynomials. In: Springer; 2011:209-216. doi:10.1145/1993886.1993920
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |
Kerber M, Sagraloff M. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 2011;27(3):419-430. doi:10.1007/s00373-011-1020-7
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
Chen C, Kerber M. An output sensitive algorithm for persistent homology. In: ACM; 2011:207-216. doi:10.1145/1998196.1998228
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |
Edelsbrunner H, Kerber M. Covering and packing with spheres by diagonal distortion in R^n. In: Calude C, Rozenberg G, Salomaa A, eds. Rainbow of Computer Science. Vol 6570. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday. Springer; 2011:20-35. doi:10.1007/978-3-642-19391-0_2
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |
Bendich P, Edelsbrunner H, Kerber M, Patel A. Persistent homology under non-uniform error. In: Vol 6281. Springer; 2010:12-23. doi:10.1007/978-3-642-15155-2_2
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
Berberich E, Halperin D, Kerber M, Pogalnikova R. Polygonal reconstruction from approximate offsets. In: TU Dortmund; 2010:12-23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |
Bendich P, Edelsbrunner H, Kerber M. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 2010;16(6):1251-1260. doi:10.1109/TVCG.2010.139
[Submitted Version]
View
| Files available
| DOI