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161 Publications
2012 | 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.
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2012 | Conference Paper | IST-REx-ID: 2903
H. Edelsbrunner and O. Symonova, “The adaptive topology of a digital image,” presented at the ISVD: International Symposium on Voronoi Diagrams in Science and Engineering, New Brunswick, NJ, USA , 2012, pp. 41–48.
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2012 | Journal Article | IST-REx-ID: 2941
N. Dolbilin, H. Edelsbrunner, and O. Musin, “On the optimality of functionals over triangulations of Delaunay sets,” Russian Mathematical Surveys, vol. 67, no. 4, pp. 781–783, 2012.
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2012 | Conference Paper | IST-REx-ID: 3134
H. Edelsbrunner, B. Fasy, and G. 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 , Chapel Hill, NC, USA, 2012, pp. 91–100.
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2012 | Conference Paper | IST-REx-ID: 3127
N. Quadrianto, C. Lampert, and C. Chen, “The most persistent soft-clique in a set of sampled graphs,” in Proceedings of the 29th International Conference on Machine Learning, Edinburgh, United Kingdom, 2012, pp. 211–218.
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2012 | 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, pp. 964–989, 2012.
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2012 | 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, pp. 239–258, 2012.
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2012 | Journal Article | IST-REx-ID: 2904
F. Pausinger, “Weak multipliers for generalized van der Corput sequences,” Journal de Theorie des Nombres des Bordeaux, vol. 24, no. 3, pp. 729–749, 2012.
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2012 | Journal Article | IST-REx-ID: 3159
Y. Mileyko, H. Edelsbrunner, C. Price, and J. Weitz, “Hierarchical ordering of reticular networks,” PLoS One, vol. 7, no. 6, 2012.
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2012 | Journal Article | IST-REx-ID: 6588
F. Pausinger, “Elementary solutions of the bernstein problem on two intervals,” Journal of Mathematical Physics, Analysis, Geometry, vol. 8, no. 1, pp. 63–78, 2012.
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| WoS
2011 | 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.
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2011 | Report | IST-REx-ID: 3333
P. Bendich, D. Morozov, A. Patel, and H. Edelsbrunner, Homology and robustness of level and interlevel sets, vol. abs/1102.3389. ArXiv, 2011.
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| arXiv
2011 | Journal Article | IST-REx-ID: 3377
H. Edelsbrunner, D. Morozov, and A. Patel, “Quantifying transversality by measuring the robustness of intersections,” Foundations of Computational Mathematics, vol. 11, no. 3, pp. 345–361, 2011.
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2011 | Report | IST-REx-ID: 3272
O. Busaryev, S. Cabello, C. Chen, T. Dey, and Y. Wang, Annotating simplices with a homology basis and its applications. ArXiv, 2011.
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| arXiv
2011 | Book Chapter | IST-REx-ID: 3311
H. Edelsbrunner, “Alpha shapes - a survey,” in Tessellations in the Sciences, Springer, 2011.
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2011 | Book Chapter | IST-REx-ID: 3335
R. Van De Weygaert et al., “Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web,” in Transactions on Computational Science XIV, vol. 6970, M. Gavrilova, K. Tan, and M. Mostafavi, Eds. Springer, 2011, pp. 60–101.
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| arXiv
2011 | 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.
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| arXiv
2011 | 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.
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2011 | Conference Paper | IST-REx-ID: 3266
A. Ion, J. Carreira, and C. Sminchisescu, “Probabilistic joint image segmentation and labeling,” presented at the NIPS: Neural Information Processing Systems, Granada, Spain, 2011, pp. 1827–1835.
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2011 | Conference Poster | IST-REx-ID: 3312
Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, and P. Benfey, Detailed reconstruction of 3D plant root shape. IEEE, 2011, p. 6126475.
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2011 | 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.
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2011 | Conference Paper | IST-REx-ID: 3336
C. Chen, D. Freedman, and C. Lampert, “Enforcing topological constraints in random field image segmentation,” in CVPR: Computer Vision and Pattern Recognition, Colorado Springs, USA, 2011, pp. 2089–2096.
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2011 | Conference Paper | IST-REx-ID: 3313
C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in Proceedings of the IEEE International Conference on Computer Vision, Barcelona, Spain, 2011, p. 6126271.
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2010 | Book Chapter | IST-REx-ID: 3795
H. Edelsbrunner, D. Morozov, and A. Patel, “The stability of the apparent contour of an orientable 2-manifold,” in Topological Data Analysis and Visualization: Theory, Algorithms and Applications, Springer, 2010, pp. 27–42.
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2010 | Conference Paper | IST-REx-ID: 3853
K. Chatterjee, L. Doyen, H. Edelsbrunner, T. A. Henzinger, and P. Rannou, “Mean-payoff automaton expressions,” presented at the CONCUR: Concurrency Theory, Paris, France, 2010, vol. 6269, pp. 269–283.
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2010 | 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.
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2010 | 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, pp. 1251–1260, 2010.
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2010 | 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.
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2009 | Conference Paper | IST-REx-ID: 3968
H. Edelsbrunner and J. Harer, “The persistent Morse complex segmentation of a 3-manifold,” presented at the 3DPH: Modelling the Physiological Human, Zermatt, Switzerland, 2009, vol. 5903, pp. 36–50.
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