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163 Publications
2011 | Book Chapter | IST-REx-ID: 3311
Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In Tessellations in the Sciences. Springer, 2011.
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2011 | Conference Paper | IST-REx-ID: 3330   

Kerber, Michael, and Michael Sagraloff. “Root Refinement for Real Polynomials,” 209–16. Springer, 2011. https://doi.org/10.1145/1993886.1993920 .
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| arXiv
2011 | Book Chapter | IST-REx-ID: 3335   

Van De Weygaert, Rien, Gert Vegter, Herbert Edelsbrunner, Bernard Jones, Pratyush Pranav, Changbom Park, Wojciech Hellwing, et al. “Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web.” In Transactions on Computational Science XIV, edited by Marina Gavrilova, Kenneth Tan, and Mir Mostafavi, 6970:60–101. Special Issue on Voronoi Diagrams and Delaunay Triangulation. Springer, 2011. https://doi.org/10.1007/978-3-642-25249-5_3.
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| arXiv
2011 | Conference Paper | IST-REx-ID: 3328
Berberich, Eric, Michael Hemmer, and Michael Kerber. “A Generic Algebraic Kernel for Non Linear Geometric Applications,” 179–86. ACM, 2011. https://doi.org/10.1145/1998196.1998224.
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2011 | Book Chapter | IST-REx-ID: 3796   

Edelsbrunner, Herbert, and Michael Kerber. “Covering and Packing with Spheres by Diagonal Distortion in R^n.” In Rainbow of Computer Science, edited by Cristian Calude, Grzegorz Rozenberg, and Arto Salomaa, 6570:20–35. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday. Springer, 2011. https://doi.org/10.1007/978-3-642-19391-0_2.
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2011 | Journal Article | IST-REx-ID: 3378
Bendich, Paul, and John Harer. “Persistent Intersection Homology.” Foundations of Computational Mathematics 11, no. 3 (2011): 305–36. https://doi.org/10.1007/s10208-010-9081-1.
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2011 | Conference Paper | IST-REx-ID: 3266
Ion, Adrian, Joao Carreira, and Cristian Sminchisescu. “Probabilistic Joint Image Segmentation and Labeling.” In NIPS Proceedings, 24:1827–35. Neural Information Processing Systems Foundation, 2011.
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2011 | Conference Poster | IST-REx-ID: 3312   

Zheng, Ying, Steve Gu, Herbert Edelsbrunner, Carlo Tomasi, and Philip Benfey. Detailed Reconstruction of 3D Plant Root Shape. Proceedings of the IEEE International Conference on Computer Vision. IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126475.
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2011 | Conference Paper | IST-REx-ID: 3329   

Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing Approximate Offsets.” In Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, 187–96. ACM, 2011. https://doi.org/10.1145/1998196.1998225.
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2011 | Conference Paper | IST-REx-ID: 3367
Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology,” 207–16. ACM, 2011. https://doi.org/10.1145/1998196.1998228.
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2011 | Conference Paper | IST-REx-ID: 3336
Chen, Chao, Daniel Freedman, and Christoph Lampert. “Enforcing Topological Constraints in Random Field Image Segmentation.” In CVPR: Computer Vision and Pattern Recognition, 2089–96. IEEE, 2011. https://doi.org/10.1109/CVPR.2011.5995503.
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2011 | Journal Article | IST-REx-ID: 3267
Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization.” Discrete & Computational Geometry 45, no. 3 (2011): 425–48. https://doi.org/10.1007/s00454-010-9322-8.
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2011 | Conference Paper | IST-REx-ID: 3313   

Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.” In Proceedings of the IEEE International Conference on Computer Vision, 6126271. IEEE, 2011. https://doi.org/10.1109/ICCV.2011.6126271.
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2011 | Journal Article | IST-REx-ID: 3332
Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.” Graphs and Combinatorics 27, no. 3 (2011): 419–30. https://doi.org/10.1007/s00373-011-1020-7.
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2011 | Journal Article | IST-REx-ID: 3781
Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Sci. Math. (Szeged) 77, no. 1–2 (2011): 359–67.
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2010 | Conference Paper | IST-REx-ID: 3782
Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve and Surface Evolution.” In Conference Proceedings MCV 2010, 6533:31–42. Springer, 2010. https://doi.org/10.1007/978-3-642-18421-5_4.
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2010 | Book Chapter | IST-REx-ID: 3795   

Edelsbrunner, Herbert, Dmitriy Morozov, and Amit Patel. “The Stability of the Apparent Contour of an Orientable 2-Manifold.” In Topological Data Analysis and Visualization: Theory, Algorithms and Applications, 27–42. Springer, 2010. https://doi.org/10.1007/978-3-642-15014-2_3.
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2010 | Conference Paper | IST-REx-ID: 3853   

Chatterjee, Krishnendu, Laurent Doyen, Herbert Edelsbrunner, Thomas A Henzinger, and Philippe Rannou. “Mean-Payoff Automaton Expressions,” 6269:269–83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010. https://doi.org/10.1007/978-3-642-15375-4_19.
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2010 | Journal Article | IST-REx-ID: 3901   

Bendich, Paul, Herbert Edelsbrunner, and Michael Kerber. “Computing Robustness and Persistence for Images.” IEEE Transactions of Visualization and Computer Graphics 16, no. 6 (2010): 1251–60. https://doi.org/10.1109/TVCG.2010.139.
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2010 | Conference Paper | IST-REx-ID: 3848
Bendich, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “The Robustness of Level Sets,” 6346:1–10. Springer, 2010. https://doi.org/10.1007/978-3-642-15775-2_1.
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2010 | Conference Paper | IST-REx-ID: 3850
Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Polygonal Reconstruction from Approximate Offsets,” 12–23. TU Dortmund, 2010.
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2010 | Conference Paper | IST-REx-ID: 3849   

Bendich, Paul, Herbert Edelsbrunner, Michael Kerber, and Amit Patel. “Persistent Homology under Non-Uniform Error,” 6281:12–23. Springer, 2010. https://doi.org/10.1007/978-3-642-15155-2_2.
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2009 | Conference Paper | IST-REx-ID: 3968   

Edelsbrunner, Herbert, and John Harer. “The Persistent Morse Complex Segmentation of a 3-Manifold,” 5903:36–50. Springer, 2009. https://doi.org/10.1007/978-3-642-10470-1_4.
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