Michael Kerber
Edelsbrunner Group
18 Publications
2023 | Journal Article | IST-REx-ID: 12709 | 
Corbet, René, et al. “Computing the Multicover Bifiltration.” Discrete and Computational Geometry, vol. 70, Springer Nature, 2023, pp. 376–405, doi:10.1007/s00454-022-00476-8.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
2013 | Conference Paper | IST-REx-ID: 2906 |
Kerber, Michael, and Herbert Edelsbrunner. “3D Kinetic Alpha Complexes and Their Implementation.” 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77, doi:10.1137/1.9781611972931.6.
[Submitted Version]
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| Files available
| DOI
2013 | Journal Article | IST-REx-ID: 2939
Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology.” Computational Geometry: Theory and Applications, vol. 46, no. 4, Elsevier, 2013, pp. 435–47, doi:10.1016/j.comgeo.2012.02.010.
View
| Files available
| DOI
2012 | Journal Article | IST-REx-ID: 3120 |
Brown, Gavin, et al. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.” Compositio Mathematica, vol. 148, no. 4, Cambridge University Press, 2012, pp. 1171–94, doi:10.1112/S0010437X11007226.
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Conference Paper | IST-REx-ID: 3133 |
Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions: The Persistent Behavior of Land and Water and Shore.” Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–58, doi:10.1145/2261250.2261287.
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Journal Article | IST-REx-ID: 3256 |
Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of ℝn.” Discrete & Computational Geometry, vol. 47, no. 2, Springer, 2012, pp. 393–414, doi:10.1007/s00454-011-9382-4.
[Submitted Version]
View
| Files available
| DOI
2012 | Journal Article | IST-REx-ID: 3115 |
Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Discrete & Computational Geometry, vol. 48, no. 4, Springer, 2012, pp. 964–89, doi:10.1007/s00454-012-9441-5.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Journal Article | IST-REx-ID: 3331 |
Kerber, Michael, and Michael Sagraloff. “A Worst Case Bound for Topology Computation of Algebraic Curves.” Journal of Symbolic Computation, vol. 47, no. 3, Elsevier, 2012, pp. 239–58, doi:10.1016/j.jsc.2011.11.001.
[Preprint]
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| DOI
| Download Preprint (ext.)
2011 | Conference Paper | IST-REx-ID: 3329 |
Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–96, doi:10.1145/1998196.1998225.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Journal Article | IST-REx-ID: 3332 |
Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.” Graphs and Combinatorics, vol. 27, no. 3, Springer, 2011, pp. 419–30, doi:10.1007/s00373-011-1020-7.
[Submitted Version]
View
| Files available
| DOI
2011 | Conference Paper | IST-REx-ID: 3330 |
Kerber, Michael, and Michael Sagraloff. Root Refinement for Real Polynomials. Springer, 2011, pp. 209–16, doi:10.1145/1993886.1993920.
[Preprint]
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| DOI
| Download Preprint (ext.)
| arXiv
2011 | Conference Paper | IST-REx-ID: 3328 |
Berberich, Eric, et al. A Generic Algebraic Kernel for Non Linear Geometric Applications. ACM, 2011, pp. 179–86, doi:10.1145/1998196.1998224.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Conference Paper | IST-REx-ID: 3367
Chen, Chao, and Michael Kerber. An Output Sensitive Algorithm for Persistent Homology. ACM, 2011, pp. 207–16, doi:10.1145/1998196.1998228.
View
| Files available
| DOI
2011 | Book Chapter | IST-REx-ID: 3796 |
Edelsbrunner, Herbert, and Michael Kerber. “Covering and Packing with Spheres by Diagonal Distortion in R^n.” Rainbow of Computer Science, edited by Cristian Calude et al., vol. 6570, Springer, 2011, pp. 20–35, doi:10.1007/978-3-642-19391-0_2.
[Submitted Version]
View
| Files available
| DOI
2011 | Conference Paper | IST-REx-ID: 3270
Chen, Chao, and Michael Kerber. Persistent Homology Computation with a Twist. TU Dortmund, 2011, pp. 197–200.
View
2010 | Conference Paper | IST-REx-ID: 3849 |
Bendich, Paul, et al. Persistent Homology under Non-Uniform Error. Vol. 6281, Springer, 2010, pp. 12–23, doi:10.1007/978-3-642-15155-2_2.
[Submitted Version]
View
| Files available
| DOI
2010 | Conference Paper | IST-REx-ID: 3850
Berberich, Eric, et al. Polygonal Reconstruction from Approximate Offsets. TU Dortmund, 2010, pp. 12–23.
View
2010 | Journal Article | IST-REx-ID: 3901 |
Bendich, Paul, et al. “Computing Robustness and Persistence for Images.” IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6, IEEE, 2010, pp. 1251–60, doi:10.1109/TVCG.2010.139.
[Submitted Version]
View
| Files available
| DOI
18 Publications
2023 | Journal Article | IST-REx-ID: 12709 |
Corbet, René, et al. “Computing the Multicover Bifiltration.” Discrete and Computational Geometry, vol. 70, Springer Nature, 2023, pp. 376–405, doi:10.1007/s00454-022-00476-8.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Conference Paper | IST-REx-ID: 2906 |
Kerber, Michael, and Herbert Edelsbrunner. “3D Kinetic Alpha Complexes and Their Implementation.” 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77, doi:10.1137/1.9781611972931.6.
[Submitted Version]
View
| Files available
| DOI
2013 | Journal Article | IST-REx-ID: 2939
Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology.” Computational Geometry: Theory and Applications, vol. 46, no. 4, Elsevier, 2013, pp. 435–47, doi:10.1016/j.comgeo.2012.02.010.
View
| Files available
| DOI
2012 | Journal Article | IST-REx-ID: 3120 |
Brown, Gavin, et al. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.” Compositio Mathematica, vol. 148, no. 4, Cambridge University Press, 2012, pp. 1171–94, doi:10.1112/S0010437X11007226.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Conference Paper | IST-REx-ID: 3133 |
Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions: The Persistent Behavior of Land and Water and Shore.” Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–58, doi:10.1145/2261250.2261287.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Journal Article | IST-REx-ID: 3256 |
Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of ℝn.” Discrete & Computational Geometry, vol. 47, no. 2, Springer, 2012, pp. 393–414, doi:10.1007/s00454-011-9382-4.
[Submitted Version]
View
| Files available
| DOI
2012 | Journal Article | IST-REx-ID: 3115 |
Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Discrete & Computational Geometry, vol. 48, no. 4, Springer, 2012, pp. 964–89, doi:10.1007/s00454-012-9441-5.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Journal Article | IST-REx-ID: 3331 |
Kerber, Michael, and Michael Sagraloff. “A Worst Case Bound for Topology Computation of Algebraic Curves.” Journal of Symbolic Computation, vol. 47, no. 3, Elsevier, 2012, pp. 239–58, doi:10.1016/j.jsc.2011.11.001.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Conference Paper | IST-REx-ID: 3329 |
Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–96, doi:10.1145/1998196.1998225.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Journal Article | IST-REx-ID: 3332 |
Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.” Graphs and Combinatorics, vol. 27, no. 3, Springer, 2011, pp. 419–30, doi:10.1007/s00373-011-1020-7.
[Submitted Version]
View
| Files available
| DOI
2011 | Conference Paper | IST-REx-ID: 3330 |
Kerber, Michael, and Michael Sagraloff. Root Refinement for Real Polynomials. Springer, 2011, pp. 209–16, doi:10.1145/1993886.1993920.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Conference Paper | IST-REx-ID: 3328 |
Berberich, Eric, et al. A Generic Algebraic Kernel for Non Linear Geometric Applications. ACM, 2011, pp. 179–86, doi:10.1145/1998196.1998224.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Conference Paper | IST-REx-ID: 3367
Chen, Chao, and Michael Kerber. An Output Sensitive Algorithm for Persistent Homology. ACM, 2011, pp. 207–16, doi:10.1145/1998196.1998228.
View
| Files available
| DOI
2011 | Book Chapter | IST-REx-ID: 3796 |
Edelsbrunner, Herbert, and Michael Kerber. “Covering and Packing with Spheres by Diagonal Distortion in R^n.” Rainbow of Computer Science, edited by Cristian Calude et al., vol. 6570, Springer, 2011, pp. 20–35, doi:10.1007/978-3-642-19391-0_2.
[Submitted Version]
View
| Files available
| DOI
2011 | Conference Paper | IST-REx-ID: 3270
Chen, Chao, and Michael Kerber. Persistent Homology Computation with a Twist. TU Dortmund, 2011, pp. 197–200.
View
2010 | Conference Paper | IST-REx-ID: 3849 |
Bendich, Paul, et al. Persistent Homology under Non-Uniform Error. Vol. 6281, Springer, 2010, pp. 12–23, doi:10.1007/978-3-642-15155-2_2.
[Submitted Version]
View
| Files available
| DOI
2010 | Conference Paper | IST-REx-ID: 3850
Berberich, Eric, et al. Polygonal Reconstruction from Approximate Offsets. TU Dortmund, 2010, pp. 12–23.
View
2010 | Journal Article | IST-REx-ID: 3901 |
Bendich, Paul, et al. “Computing Robustness and Persistence for Images.” IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6, IEEE, 2010, pp. 1251–60, doi:10.1109/TVCG.2010.139.
[Submitted Version]
View
| Files available
| DOI