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161 Publications

2012 | Conference Paper | IST-REx-ID: 3133   OA
Edelsbrunner, Herbert, and Michael 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 , 249–58. ACM, 2012. https://doi.org/10.1145/2261250.2261287.
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2012 | Conference Paper | IST-REx-ID: 3265
Ion, Adrian, Joao Carreira, and Cristian Sminchisescu. “Image Segmentation by Figure-Ground Composition into Maximal Cliques.” IEEE, 2012. https://doi.org/10.1109/ICCV.2011.6126486.
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2012 | Conference Paper | IST-REx-ID: 2903   OA
Edelsbrunner, Herbert, and Olga Symonova. “The Adaptive Topology of a Digital Image,” 41–48. IEEE, 2012. https://doi.org/10.1109/ISVD.2012.11.
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2012 | Journal Article | IST-REx-ID: 2941   OA
Dolbilin, Nikolai, Herbert Edelsbrunner, and Oleg Musin. “On the Optimality of Functionals over Triangulations of Delaunay Sets.” Russian Mathematical Surveys 67, no. 4 (2012): 781–83. https://doi.org/10.1070/RM2012v067n04ABEH004807.
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2012 | Conference Paper | IST-REx-ID: 3134
Edelsbrunner, Herbert, Brittany Fasy, and Günter Rote. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.” In Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , 91–100. ACM, 2012. https://doi.org/10.1145/2261250.2261265.
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2012 | Conference Paper | IST-REx-ID: 3127   OA
Quadrianto, Novi, Christoph Lampert, and Chao Chen. “The Most Persistent Soft-Clique in a Set of Sampled Graphs.” In Proceedings of the 29th International Conference on Machine Learning, 211–18. Omnipress, 2012.
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2012 | Journal Article | IST-REx-ID: 3115
Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing Approximate Offsets.” Discrete & Computational Geometry 48, no. 4 (2012): 964–89. https://doi.org/10.1007/s00454-012-9441-5.
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2012 | Journal Article | IST-REx-ID: 3331   OA
Kerber, Michael, and Michael Sagraloff. “A Worst Case Bound for Topology Computation of Algebraic Curves.” Journal of Symbolic Computation 47, no. 3 (2012): 239–58. https://doi.org/10.1016/j.jsc.2011.11.001.
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2012 | Journal Article | IST-REx-ID: 2904   OA
Pausinger, Florian. “Weak Multipliers for Generalized van Der Corput Sequences.” Journal de Theorie Des Nombres Des Bordeaux 24, no. 3 (2012): 729–49. https://doi.org/10.5802/jtnb.819.
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2012 | Journal Article | IST-REx-ID: 3159   OA
Mileyko, Yuriy, Herbert Edelsbrunner, Charles Price, and Joshua Weitz. “Hierarchical Ordering of Reticular Networks.” PLoS One 7, no. 6 (2012). https://doi.org/10.1371/journal.pone.0036715.
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2012 | Journal Article | IST-REx-ID: 6588   OA
Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.” Journal of Mathematical Physics, Analysis, Geometry 8, no. 1 (2012): 63–78.
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2011 | Conference Paper | IST-REx-ID: 3270
Chen, Chao, and Michael Kerber. “Persistent Homology Computation with a Twist,” 197–200. TU Dortmund, 2011.
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2011 | Report | IST-REx-ID: 3333   OA
Bendich, Paul, Dmitriy Morozov, Amit Patel, and Herbert Edelsbrunner. Homology and Robustness of Level and Interlevel Sets. Vol. abs/1102.3389. ArXiv, 2011.
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2011 | Journal Article | IST-REx-ID: 3965
Wang, Bei, Herbert Edelsbrunner, and Dmitriy Morozov. “Computing Elevation Maxima by Searching the Gauss Sphere.” Journal of Experimental Algorithmics 16, no. 2.2 (2011): 1–13. https://doi.org/10.1145/1963190.1970375.
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2011 | Journal Article | IST-REx-ID: 3269
Sheng, Yu, Barbara Cutler, Chao Chen, and Joshua Nasman. “Perceptual Global Illumination Cancellation in Complex Projection Environments.” Computer Graphics Forum 30, no. 4 (2011): 1261–68. https://doi.org/10.1111/j.1467-8659.2011.01985.x.
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2011 | Book Chapter | IST-REx-ID: 3271
Wagner, Hubert, Chao Chen, and Erald Vuçini. “Efficient Computation of Persistent Homology for Cubical Data.” In Topological Methods in Data Analysis and Visualization II, edited by Ronald Peikert, Helwig Hauser, Hamish Carr, and Raphael Fuchs, 91–106. Springer, 2011. https://doi.org/10.1007/978-3-642-23175-9_7.
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2011 | Journal Article | IST-REx-ID: 3334
Edelsbrunner, Herbert, János Pach, and Günter Ziegler. “Letter from the New Editors-in-Chief.” Discrete & Computational Geometry 45, no. 1 (2011): 1–2. https://doi.org/10.1007/s00454-010-9313-9.
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2011 | Journal Article | IST-REx-ID: 3377   OA
Edelsbrunner, Herbert, Dmitriy Morozov, and Amit Patel. “Quantifying Transversality by Measuring the Robustness of Intersections.” Foundations of Computational Mathematics 11, no. 3 (2011): 345–61. https://doi.org/10.1007/s10208-011-9090-8.
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2011 | Report | IST-REx-ID: 3272   OA
Busaryev, Oleksiy, Sergio Cabello, Chao Chen, Tamal Dey, and Yusu Wang. Annotating Simplices with a Homology Basis and Its Applications. ArXiv, 2011.
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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: 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: 3335   OA
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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2011 | Conference Paper | IST-REx-ID: 3330   OA
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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2011 | Book Chapter | IST-REx-ID: 3796   OA
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,” 1827–35. Neural Information Processing Systems, 2011.
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2011 | Conference Poster | IST-REx-ID: 3312   OA
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   OA
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   OA
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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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   OA
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   OA
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 | 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 | Journal Article | IST-REx-ID: 3901   OA
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: 3849   OA
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   OA
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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