Michael Kerber
Edelsbrunner Group
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |

Corbet R, Kerber M, Lesnick M, Osang GF. 2023. Computing the multicover bifiltration. Discrete and Computational Geometry. 70, 376–405.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |

Kerber M, Edelsbrunner H. 2013. 3D kinetic alpha complexes and their implementation. 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments, ALENEX, , 70–77.
[Submitted Version]
View
| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. 2013. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 46(4), 435–447.
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3256 |

Edelsbrunner H, Kerber M. 2012. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 47(2), 393–414.
[Submitted Version]
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |

Kerber M, Sagraloff M. 2012. A worst case bound for topology computation of algebraic curves. Journal of Symbolic Computation. 47(3), 239–258.
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3115 |

Berberich E, Halperin D, Kerber M, Pogalnikova R. 2012. Deconstructing approximate offsets. Discrete & Computational Geometry. 48(4), 964–989.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |

Brown G, Kerber M, Reid M. 2012. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 148(4), 1171–1194.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |

Edelsbrunner H, Kerber M. 2012. Alexander duality for functions: The persistent behavior of land and water and shore. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry, 249–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
Chen C, Kerber M. 2011. Persistent homology computation with a twist. EuroCG: European Workshop on Computational Geometry, 197–200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |

Berberich E, Hemmer M, Kerber M. 2011. A generic algebraic kernel for non linear geometric applications. SCG: Symposium on Computational Geometry, 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |

Berberich E, Halperin D, Kerber M, Pogalnikova R. 2011. Deconstructing approximate offsets. Proceedings of the twenty-seventh annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |

Kerber M, Sagraloff M. 2011. Root refinement for real polynomials. ISSAC: International Symposium on Symbolic and Algebraic Computation, 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |

Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 27(3), 419–430.
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
Chen C, Kerber M. 2011. An output sensitive algorithm for persistent homology. SoCG: Symposium on Computational Geometry, 207–216.
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |

Edelsbrunner H, Kerber M. 2011.Covering and packing with spheres by diagonal distortion in R^n. In: Rainbow of Computer Science. LNCS, vol. 6570, 20–35.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |

Bendich P, Edelsbrunner H, Kerber M, Patel A. 2010. Persistent homology under non-uniform error. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 6281, 12–23.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
Berberich E, Halperin D, Kerber M, Pogalnikova R. 2010. Polygonal reconstruction from approximate offsets. EuroCG: European Workshop on Computational Geometry, 12–23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |

Bendich P, Edelsbrunner H, Kerber M. 2010. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 16(6), 1251–1260.
[Submitted Version]
View
| Files available
| DOI
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18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |

Corbet R, Kerber M, Lesnick M, Osang GF. 2023. Computing the multicover bifiltration. Discrete and Computational Geometry. 70, 376–405.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |

Kerber M, Edelsbrunner H. 2013. 3D kinetic alpha complexes and their implementation. 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments, ALENEX, , 70–77.
[Submitted Version]
View
| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. 2013. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 46(4), 435–447.
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3256 |

Edelsbrunner H, Kerber M. 2012. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 47(2), 393–414.
[Submitted Version]
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |

Kerber M, Sagraloff M. 2012. A worst case bound for topology computation of algebraic curves. Journal of Symbolic Computation. 47(3), 239–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3115 |

Berberich E, Halperin D, Kerber M, Pogalnikova R. 2012. Deconstructing approximate offsets. Discrete & Computational Geometry. 48(4), 964–989.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |

Brown G, Kerber M, Reid M. 2012. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 148(4), 1171–1194.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |

Edelsbrunner H, Kerber M. 2012. Alexander duality for functions: The persistent behavior of land and water and shore. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry, 249–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
Chen C, Kerber M. 2011. Persistent homology computation with a twist. EuroCG: European Workshop on Computational Geometry, 197–200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |

Berberich E, Hemmer M, Kerber M. 2011. A generic algebraic kernel for non linear geometric applications. SCG: Symposium on Computational Geometry, 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |

Berberich E, Halperin D, Kerber M, Pogalnikova R. 2011. Deconstructing approximate offsets. Proceedings of the twenty-seventh annual symposium on Computational geometry. SCG: Symposium on Computational Geometry, 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |

Kerber M, Sagraloff M. 2011. Root refinement for real polynomials. ISSAC: International Symposium on Symbolic and Algebraic Computation, 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |

Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 27(3), 419–430.
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
Chen C, Kerber M. 2011. An output sensitive algorithm for persistent homology. SoCG: Symposium on Computational Geometry, 207–216.
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |

Edelsbrunner H, Kerber M. 2011.Covering and packing with spheres by diagonal distortion in R^n. In: Rainbow of Computer Science. LNCS, vol. 6570, 20–35.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |

Bendich P, Edelsbrunner H, Kerber M, Patel A. 2010. Persistent homology under non-uniform error. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 6281, 12–23.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
Berberich E, Halperin D, Kerber M, Pogalnikova R. 2010. Polygonal reconstruction from approximate offsets. EuroCG: European Workshop on Computational Geometry, 12–23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |

Bendich P, Edelsbrunner H, Kerber M. 2010. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 16(6), 1251–1260.
[Submitted Version]
View
| Files available
| DOI