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282 Publications

2014 | Published | Book Chapter | IST-REx-ID: 2044 | OA
Clear and Compress: Computing Persistent Homology in Chunks
U. Bauer, M. Kerber, J. Reininghaus, in:, P.-T. Bremer, I. Hotz, V. Pascucci, R. Peikert (Eds.), Topological Methods in Data Analysis and Visualization III, Springer, 2014, pp. 103–117.
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2014 | Published | Conference Paper | IST-REx-ID: 2153 | OA
Induced matchings of barcodes and the algebraic stability of persistence
U. Bauer, M. Lesnick, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 355–364.
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2014 | Published | Conference Paper | IST-REx-ID: 2155 | OA
The morse theory of Čech and Delaunay filtrations
U. Bauer, H. Edelsbrunner, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 484–490.
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2014 | Published | Conference Paper | IST-REx-ID: 2156 | OA
Measuring distance between Reeb graphs
U. Bauer, X. Ge, Y. Wang, in:, Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 464–473.
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2014 | Published | Conference Paper | IST-REx-ID: 2177
On the computational complexity of betti numbers reductions from matrix rank
H. Edelsbrunner, S. Parsa, in:, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2014, pp. 152–160.
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2014 | Published | Journal Article | IST-REx-ID: 2184 | OA
Computing all maps into a sphere
M. Čadek, M. Krcál, J. Matoušek, F. Sergeraert, L. Vokřínek, U. Wagner, Journal of the ACM 61 (2014).
[Preprint] View | DOI | Download Preprint (ext.)
 
2014 | Published | Book | IST-REx-ID: 6853
A Short Course in Computational Geometry and Topology
H. Edelsbrunner, A Short Course in Computational Geometry and Topology, 1st ed., Springer Nature, Cham, 2014.
View | Files available | DOI
 
2013 | Published | Conference Paper | IST-REx-ID: 10897
Persistent homology in image processing
H. Edelsbrunner, in:, Graph-Based Representations in Pattern Recognition, Springer Nature, Berlin, Heidelberg, 2013, pp. 182–183.
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2013 | Published | Journal Article | IST-REx-ID: 2304
Van der Corput sequences and linear permutations
F. Pausinger, Electronic Notes in Discrete Mathematics 43 (2013) 43–50.
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2013 | Published | Conference Paper | IST-REx-ID: 2807 | OA
Extending continuous maps: Polynomiality and undecidability
M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, U. Wagner, in:, 45th Annual ACM Symposium on Theory of Computing, ACM, 2013, pp. 595–604.
[Submitted Version] View | Files available | DOI
 
2013 | Published | Conference Paper | IST-REx-ID: 2812 | OA
Homological reconstruction and simplification in R3
D. Attali, U. Bauer, O. Devillers, M. Glisse, A. Lieutier, in:, Proceedings of the 29th Annual Symposium on Computational Geometry, ACM, 2013, pp. 117–125.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.)
 
2013 | Published | Journal Article | IST-REx-ID: 2815 | OA
Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions
H. Edelsbrunner, B.T. Fasy, G. Rote, Discrete & Computational Geometry 49 (2013) 797–822.
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2013 | Published | Journal Article | IST-REx-ID: 2822 | OA
3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture
C. Topp, A. Iyer Pascuzzi, J. Anderson, C. Lee, P. Zurek, O. Symonova, Y. Zheng, A. Bucksch, Y. Mileyko, T. Galkovskyi, B. Moore, J. Harer, H. Edelsbrunner, T. Mitchell Olds, J. Weitz, P. Benfey, PNAS 110 (2013) E1695–E1704.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | PubMed | Europe PMC
 
2013 | Published | Conference Paper | IST-REx-ID: 2843
Stable length estimates of tube-like shapes
H. Edelsbrunner, F. Pausinger, in:, 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Springer, 2013, pp. XV–XIX.
View | Files available | DOI
 
2013 | Published | Journal Article | IST-REx-ID: 2859 | OA
Homology and robustness of level and interlevel sets
P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel, Homology, Homotopy and Applications 15 (2013) 51–72.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2013 | Published | Journal Article | IST-REx-ID: 2887 | OA
Genotypic recognition and spatial responses by rice roots
S. Fang, R. Clark, Y. Zheng, A. Iyer Pascuzzi, J. Weitz, L. Kochian, H. Edelsbrunner, H. Liao, P. Benfey, PNAS 110 (2013) 2670–2675.
[Published Version] View | DOI | Download Published Version (ext.) | PubMed | Europe PMC
 
2013 | Published | Conference Paper | IST-REx-ID: 2901 | OA
Computing the M most probable modes of a graphical model
C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, C. Lampert, in:, JMLR, 2013, pp. 161–169.
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2013 | Published | 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
 
2013 | Published | 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
 
2013 | Published | Conference Paper | IST-REx-ID: 2209
Recognizing straight skeletons and Voronoi diagrams and reconstructing their input
T. Biedl, M. Held, S. Huber, in:, IEEE, 2013, pp. 37–46.
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