Michael Kerber
Edelsbrunner Group
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 | 
R. Corbet, M. Kerber, M. Lesnick, and G. F. Osang, “Computing the multicover bifiltration,” Discrete and Computational Geometry, vol. 70. Springer Nature, pp. 376–405, 2023.
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |
M. Kerber and H. Edelsbrunner, “3D kinetic alpha complexes and their implementation,” in 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, New Orleans, LA, United States, 2013, pp. 70–77.
[Submitted Version]
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| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
C. Chen and M. Kerber, “An output sensitive algorithm for persistent homology,” Computational Geometry: Theory and Applications, vol. 46, no. 4. Elsevier, pp. 435–447, 2013.
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3115 |
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing approximate offsets,” Discrete & Computational Geometry, vol. 48, no. 4. Springer, pp. 964–989, 2012.
[Preprint]
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| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |
G. Brown, M. Kerber, and M. Reid, “Fano 3 folds in codimension 4 Tom and Jerry Part I,” Compositio Mathematica, vol. 148, no. 4. Cambridge University Press, pp. 1171–1194, 2012.
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |
H. Edelsbrunner and M. Kerber, “Alexander duality for functions: The persistent behavior of land and water and shore,” in Proceedings of the twenty-eighth annual symposium on Computational geometry , Chapel Hill, NC, USA, 2012, pp. 249–258.
[Preprint]
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| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3256 |
H. Edelsbrunner and M. Kerber, “Dual complexes of cubical subdivisions of ℝn,” Discrete & Computational Geometry, vol. 47, no. 2. Springer, pp. 393–414, 2012.
[Submitted Version]
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |
M. Kerber and M. Sagraloff, “A worst case bound for topology computation of algebraic curves,” Journal of Symbolic Computation, vol. 47, no. 3. Elsevier, pp. 239–258, 2012.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
C. Chen and M. Kerber, “Persistent homology computation with a twist,” presented at the EuroCG: European Workshop on Computational Geometry, Morschach, Switzerland, 2011, pp. 197–200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |
E. Berberich, M. Hemmer, and M. Kerber, “A generic algebraic kernel for non linear geometric applications,” presented at the SCG: Symposium on Computational Geometry, Paris, France, 2011, pp. 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing approximate offsets,” in Proceedings of the twenty-seventh annual symposium on Computational geometry, Paris, France, 2011, pp. 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |
M. Kerber and M. Sagraloff, “Root refinement for real polynomials,” presented at the ISSAC: International Symposium on Symbolic and Algebraic Computation, California, USA, 2011, pp. 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |
M. Kerber and M. Sagraloff, “A note on the complexity of real algebraic hypersurfaces,” Graphs and Combinatorics, vol. 27, no. 3. Springer, pp. 419–430, 2011.
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
C. Chen and M. Kerber, “An output sensitive algorithm for persistent homology,” presented at the SoCG: Symposium on Computational Geometry, Paris, France, 2011, pp. 207–216.
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |
H. Edelsbrunner and M. Kerber, “Covering and packing with spheres by diagonal distortion in R^n,” in Rainbow of Computer Science, vol. 6570, C. Calude, G. Rozenberg, and A. Salomaa, Eds. Springer, 2011, pp. 20–35.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |
P. Bendich, H. Edelsbrunner, M. Kerber, and A. Patel, “Persistent homology under non-uniform error,” presented at the MFCS: Mathematical Foundations of Computer Science, Brno, Czech Republic, 2010, vol. 6281, pp. 12–23.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Polygonal reconstruction from approximate offsets,” presented at the EuroCG: European Workshop on Computational Geometry, Dortmund, Germany, 2010, pp. 12–23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |
P. Bendich, H. Edelsbrunner, and M. Kerber, “Computing robustness and persistence for images,” IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6. IEEE, pp. 1251–1260, 2010.
[Submitted Version]
View
| Files available
| DOI
Grants
18 Publications
2023 | Published | Journal Article | IST-REx-ID: 12709 |
R. Corbet, M. Kerber, M. Lesnick, and G. F. Osang, “Computing the multicover bifiltration,” Discrete and Computational Geometry, vol. 70. Springer Nature, pp. 376–405, 2023.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2013 | Published | Conference Paper | IST-REx-ID: 2906 |
M. Kerber and H. Edelsbrunner, “3D kinetic alpha complexes and their implementation,” in 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, New Orleans, LA, United States, 2013, pp. 70–77.
[Submitted Version]
View
| Files available
| DOI
2013 | Published | Journal Article | IST-REx-ID: 2939
C. Chen and M. Kerber, “An output sensitive algorithm for persistent homology,” Computational Geometry: Theory and Applications, vol. 46, no. 4. Elsevier, pp. 435–447, 2013.
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3115 |
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing approximate offsets,” Discrete & Computational Geometry, vol. 48, no. 4. Springer, pp. 964–989, 2012.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2012 | Published | Journal Article | IST-REx-ID: 3120 |
G. Brown, M. Kerber, and M. Reid, “Fano 3 folds in codimension 4 Tom and Jerry Part I,” Compositio Mathematica, vol. 148, no. 4. Cambridge University Press, pp. 1171–1194, 2012.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Conference Paper | IST-REx-ID: 3133 |
H. Edelsbrunner and M. Kerber, “Alexander duality for functions: The persistent behavior of land and water and shore,” in Proceedings of the twenty-eighth annual symposium on Computational geometry , Chapel Hill, NC, USA, 2012, pp. 249–258.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2012 | Published | Journal Article | IST-REx-ID: 3256 |
H. Edelsbrunner and M. Kerber, “Dual complexes of cubical subdivisions of ℝn,” Discrete & Computational Geometry, vol. 47, no. 2. Springer, pp. 393–414, 2012.
[Submitted Version]
View
| Files available
| DOI
2012 | Published | Journal Article | IST-REx-ID: 3331 |
M. Kerber and M. Sagraloff, “A worst case bound for topology computation of algebraic curves,” Journal of Symbolic Computation, vol. 47, no. 3. Elsevier, pp. 239–258, 2012.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3270
C. Chen and M. Kerber, “Persistent homology computation with a twist,” presented at the EuroCG: European Workshop on Computational Geometry, Morschach, Switzerland, 2011, pp. 197–200.
View
2011 | Published | Conference Paper | IST-REx-ID: 3328 |
E. Berberich, M. Hemmer, and M. Kerber, “A generic algebraic kernel for non linear geometric applications,” presented at the SCG: Symposium on Computational Geometry, Paris, France, 2011, pp. 179–186.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3329 |
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing approximate offsets,” in Proceedings of the twenty-seventh annual symposium on Computational geometry, Paris, France, 2011, pp. 187–196.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
2011 | Published | Conference Paper | IST-REx-ID: 3330 |
M. Kerber and M. Sagraloff, “Root refinement for real polynomials,” presented at the ISSAC: International Symposium on Symbolic and Algebraic Computation, California, USA, 2011, pp. 209–216.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2011 | Published | Journal Article | IST-REx-ID: 3332 |
M. Kerber and M. Sagraloff, “A note on the complexity of real algebraic hypersurfaces,” Graphs and Combinatorics, vol. 27, no. 3. Springer, pp. 419–430, 2011.
[Submitted Version]
View
| Files available
| DOI
2011 | Published | Conference Paper | IST-REx-ID: 3367
C. Chen and M. Kerber, “An output sensitive algorithm for persistent homology,” presented at the SoCG: Symposium on Computational Geometry, Paris, France, 2011, pp. 207–216.
View
| Files available
| DOI
2011 | Published | Book Chapter | IST-REx-ID: 3796 |
H. Edelsbrunner and M. Kerber, “Covering and packing with spheres by diagonal distortion in R^n,” in Rainbow of Computer Science, vol. 6570, C. Calude, G. Rozenberg, and A. Salomaa, Eds. Springer, 2011, pp. 20–35.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3849 |
P. Bendich, H. Edelsbrunner, M. Kerber, and A. Patel, “Persistent homology under non-uniform error,” presented at the MFCS: Mathematical Foundations of Computer Science, Brno, Czech Republic, 2010, vol. 6281, pp. 12–23.
[Submitted Version]
View
| Files available
| DOI
2010 | Published | Conference Paper | IST-REx-ID: 3850
E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Polygonal reconstruction from approximate offsets,” presented at the EuroCG: European Workshop on Computational Geometry, Dortmund, Germany, 2010, pp. 12–23.
View
2010 | Published | Journal Article | IST-REx-ID: 3901 |
P. Bendich, H. Edelsbrunner, and M. Kerber, “Computing robustness and persistence for images,” IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6. IEEE, pp. 1251–1260, 2010.
[Submitted Version]
View
| Files available
| DOI