18 Publications

Mark all

[18]
2023 | Journal Article | IST-REx-ID: 12709 | OA
Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[17]
2013 | Conference Paper | IST-REx-ID: 2906 | OA
3D kinetic alpha complexes and their implementation
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
[Submitted Version] View | Files available | DOI
 
[16]
2013 | Journal Article | IST-REx-ID: 2939
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
View | Files available | DOI
 
[15]
2012 | Journal Article | IST-REx-ID: 3120 | OA
Fano 3 folds in codimension 4 Tom and Jerry Part I
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
[Preprint] View | DOI | Download Preprint (ext.)
 
[14]
2012 | Conference Paper | IST-REx-ID: 3133 | OA
Alexander duality for functions: The persistent behavior of land and water and shore
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
[Preprint] View | DOI | Download Preprint (ext.)
 
[13]
2012 | Journal Article | IST-REx-ID: 3256 | OA
Dual complexes of cubical subdivisions of ℝn
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
[Submitted Version] View | Files available | DOI
 
[12]
2012 | Journal Article | IST-REx-ID: 3115 | OA
Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[11]
2012 | Journal Article | IST-REx-ID: 3331 | OA
A worst case bound for topology computation of algebraic curves
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
[Preprint] View | DOI | Download Preprint (ext.)
 
[10]
2011 | Conference Paper | IST-REx-ID: 3329 | OA
Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
[Preprint] View | Files available | DOI | Download Preprint (ext.)
 
[9]
2011 | Journal Article | IST-REx-ID: 3332 | OA
A note on the complexity of real algebraic hypersurfaces
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
[Submitted Version] View | Files available | DOI
 
[8]
2011 | Conference Paper | IST-REx-ID: 3330 | OA
Root refinement for real polynomials
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2011 | Conference Paper | IST-REx-ID: 3328 | OA
A generic algebraic kernel for non linear geometric applications
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
[Published Version] View | DOI | Download Published Version (ext.)
 
[6]
2011 | Conference Paper | IST-REx-ID: 3367
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
View | Files available | DOI
 
[5]
2011 | Book Chapter | IST-REx-ID: 3796 | OA
Covering and packing with spheres by diagonal distortion in R^n
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
[Submitted Version] View | Files available | DOI
 
[4]
2011 | Conference Paper | IST-REx-ID: 3270
Persistent homology computation with a twist
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
View
 
[3]
2010 | Conference Paper | IST-REx-ID: 3849 | OA
Persistent homology under non-uniform error
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
[Submitted Version] View | Files available | DOI
 
[2]
2010 | Conference Paper | IST-REx-ID: 3850
Polygonal reconstruction from approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
View
 
[1]
2010 | Journal Article | IST-REx-ID: 3901 | OA
Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
[Submitted Version] View | Files available | DOI
 

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18 Publications

Mark all

[18]
2023 | Journal Article | IST-REx-ID: 12709 | OA
Computing the multicover bifiltration
R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, Discrete and Computational Geometry 70 (2023) 376–405.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[17]
2013 | Conference Paper | IST-REx-ID: 2906 | OA
3D kinetic alpha complexes and their implementation
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
[Submitted Version] View | Files available | DOI
 
[16]
2013 | Journal Article | IST-REx-ID: 2939
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
View | Files available | DOI
 
[15]
2012 | Journal Article | IST-REx-ID: 3120 | OA
Fano 3 folds in codimension 4 Tom and Jerry Part I
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
[Preprint] View | DOI | Download Preprint (ext.)
 
[14]
2012 | Conference Paper | IST-REx-ID: 3133 | OA
Alexander duality for functions: The persistent behavior of land and water and shore
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
[Preprint] View | DOI | Download Preprint (ext.)
 
[13]
2012 | Journal Article | IST-REx-ID: 3256 | OA
Dual complexes of cubical subdivisions of ℝn
H. Edelsbrunner, M. Kerber, Discrete & Computational Geometry 47 (2012) 393–414.
[Submitted Version] View | Files available | DOI
 
[12]
2012 | Journal Article | IST-REx-ID: 3115 | OA
Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete & Computational Geometry 48 (2012) 964–989.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[11]
2012 | Journal Article | IST-REx-ID: 3331 | OA
A worst case bound for topology computation of algebraic curves
M. Kerber, M. Sagraloff, Journal of Symbolic Computation 47 (2012) 239–258.
[Preprint] View | DOI | Download Preprint (ext.)
 
[10]
2011 | Conference Paper | IST-REx-ID: 3329 | OA
Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
[Preprint] View | Files available | DOI | Download Preprint (ext.)
 
[9]
2011 | Journal Article | IST-REx-ID: 3332 | OA
A note on the complexity of real algebraic hypersurfaces
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
[Submitted Version] View | Files available | DOI
 
[8]
2011 | Conference Paper | IST-REx-ID: 3330 | OA
Root refinement for real polynomials
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[7]
2011 | Conference Paper | IST-REx-ID: 3328 | OA
A generic algebraic kernel for non linear geometric applications
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
[Published Version] View | DOI | Download Published Version (ext.)
 
[6]
2011 | Conference Paper | IST-REx-ID: 3367
An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
View | Files available | DOI
 
[5]
2011 | Book Chapter | IST-REx-ID: 3796 | OA
Covering and packing with spheres by diagonal distortion in R^n
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
[Submitted Version] View | Files available | DOI
 
[4]
2011 | Conference Paper | IST-REx-ID: 3270
Persistent homology computation with a twist
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
View
 
[3]
2010 | Conference Paper | IST-REx-ID: 3849 | OA
Persistent homology under non-uniform error
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
[Submitted Version] View | Files available | DOI
 
[2]
2010 | Conference Paper | IST-REx-ID: 3850
Polygonal reconstruction from approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
View
 
[1]
2010 | Journal Article | IST-REx-ID: 3901 | OA
Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
[Submitted Version] View | Files available | DOI
 

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