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183 Publications

2015 | Thesis | IST-REx-ID: 1399
Pausinger, Florian. On the Approximation of Intrinsic Volumes. IST Austria, 2015.
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2015 | Conference Paper | IST-REx-ID: 1424 | OA
Kwitt, Roland, Stefan Huber, Marc Niethammer, Weili Lin, and Ulrich Bauer. “Statistical Topological Data Analysis-A Kernel Perspective,” 28:3070–78. Neural Information Processing Systems, 2015.
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2015 | Conference Paper | IST-REx-ID: 1483 | OA
Reininghaus, Jan, Stefan Huber, Ulrich Bauer, and Roland Kwitt. “A Stable Multi-Scale Kernel for Topological Machine Learning,” 4741–48. IEEE, 2015. https://doi.org/10.1109/CVPR.2015.7299106.
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2015 | Conference Paper | IST-REx-ID: 1495 | OA
Edelsbrunner, Herbert, Mabel Iglesias Ham, and Vitaliy Kurlin. “Relaxed Disk Packing.” In Proceedings of the 27th Canadian Conference on Computational Geometry, 2015–August:128–35. Queen’s University, 2015.
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2015 | Conference Paper | IST-REx-ID: 1510 | OA
Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups,” 34:842–56. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015. https://doi.org/10.4230/LIPIcs.SOCG.2015.842.
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2015 | Journal Article | IST-REx-ID: 1531
Zobel, Valentin, Jan Reininghaus, and Ingrid Hotz. “Visualizing Symmetric Indefinite 2D Tensor Fields Using The Heat Kernel Signature.” Mathematics and Visualization 40 (2015): 257–67. https://doi.org/10.1007/978-3-319-15090-1_13.
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2014 | Conference Paper | IST-REx-ID: 2012 | OA
Iglesias Ham, Mabel, Michael Kerber, and Caroline Uhler. “Sphere Packing with Limited Overlap,” 155–61. Unknown, 2014.
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2014 | Conference Paper | IST-REx-ID: 2043 | OA
Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Distributed Computation of Persistent Homology.” In Proceedings of the Workshop on Algorithm Engineering and Experiments, edited by Catherine McGeoch and Ulrich Meyer, 31–38. Society of Industrial and Applied Mathematics, 2014. https://doi.org/10.1137/1.9781611973198.4.
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2014 | Book Chapter | IST-REx-ID: 2044 | OA
Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Clear and Compress: Computing Persistent Homology in Chunks.” In Topological Methods in Data Analysis and Visualization III, edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 103–17. Mathematics and Visualization. Springer, 2014. https://doi.org/10.1007/978-3-319-04099-8_7.
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2014 | Conference Paper | IST-REx-ID: 2153 | OA
Bauer, Ulrich, and Michael Lesnick. “Induced Matchings of Barcodes and the Algebraic Stability of Persistence.” In Proceedings of the Annual Symposium on Computational Geometry, 355–64. ACM, 2014. https://doi.org/10.1145/2582112.2582168.
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2014 | Conference Paper | IST-REx-ID: 2155 | OA
Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of Čech and Delaunay Filtrations.” In Proceedings of the Annual Symposium on Computational Geometry, 484–90. ACM, 2014. https://doi.org/10.1145/2582112.2582167.
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2014 | Conference Paper | IST-REx-ID: 2156 | OA
Bauer, Ulrich, Xiaoyin Ge, and Yusu Wang. “Measuring Distance between Reeb Graphs.” In Proceedings of the Annual Symposium on Computational Geometry, 464–73. ACM, 2014. https://doi.org/10.1145/2582112.2582169.
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2014 | Conference Paper | IST-REx-ID: 2177
Edelsbrunner, Herbert, and Salman Parsa. “On the Computational Complexity of Betti Numbers Reductions from Matrix Rank.” In Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, 152–60. SIAM, 2014. https://doi.org/10.1137/1.9781611973402.11.
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2014 | Journal Article | IST-REx-ID: 2184 | OA
Čadek, Martin, Marek Krcál, Jiří Matoušek, Francis Sergeraert, Lukáš Vokřínek, and Uli Wagner. “Computing All Maps into a Sphere.” Journal of the ACM 61, no. 3 (2014). https://doi.org/10.1145/2597629.
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2014 | Journal Article | IST-REx-ID: 2255 | OA
Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.” Journal of Mathematical Imaging and Vision 50, no. 1 (2014): 164–77. https://doi.org/10.1007/s10851-013-0468-x.
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2014 | Conference Paper | IST-REx-ID: 2905 | OA
Edelsbrunner, Herbert, and Dmitriy Morozovy. “Persistent Homology: Theory and Practice,” 31–50. European Mathematical Society Publishing House, 2014. https://doi.org/10.4171/120-1/3.
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2014 | Book | IST-REx-ID: 6853
Edelsbrunner, Herbert. A Short Course in Computational Geometry and Topology. SpringerBriefs in Mathematical Methods. Cham: Springer International Publishing, 2014. https://doi.org/10.1007/978-3-319-05957-0.
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2014 | Journal Article | IST-REx-ID: 1816 | OA
Huber, Stefan, Martin Held, Peter Meerwald, and Roland Kwitt. “Topology-Preserving Watermarking of Vector Graphics.” International Journal of Computational Geometry and Applications 24, no. 1 (2014): 61–86. https://doi.org/10.1142/S0218195914500034.
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2014 | Journal Article | IST-REx-ID: 1842 | OA
Cibulka, Josef, Pu Gao, Marek Krcál, Tomáš Valla, and Pavel Valtr. “On the Geometric Ramsey Number of Outerplanar Graphs.” Discrete & Computational Geometry 53, no. 1 (2014): 64–79. https://doi.org/10.1007/s00454-014-9646-x.
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2014 | Journal Article | IST-REx-ID: 1876 | OA
Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. “Functionals on Triangulations of Delaunay Sets.” Moscow Mathematical Journal 14, no. 3 (2014): 491–504.
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2014 | Journal Article | IST-REx-ID: 1929
Alexeev, V V, V G Bogaevskaya, M M Preobrazhenskaya, A Y Ukhalov, Herbert Edelsbrunner, and Olga Yakimova. “An Algorithm for Cartographic Generalization That Preserves Global Topology.” Journal of Mathematical Sciences (United States) 203, no. 6 (2014): 754–60. https://doi.org/10.1007/s10958-014-2165-8.
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2014 | Journal Article | IST-REx-ID: 1930
Günther, David, Alec Jacobson, Jan Reininghaus, Hans Seidel, Olga Sorkine Hornung, and Tino Weinkauf. “Fast and Memory-Efficient Topological Denoising of 2D and 3D Scalar Fields.” IEEE Transactions on Visualization and Computer Graphics 20, no. 12 (2014): 2585–94. https://doi.org/10.1109/TVCG.2014.2346432.
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2013 | Conference Paper | IST-REx-ID: 2209
Biedl, Therese, Martin Held, and Stefan Huber. “Recognizing Straight Skeletons and Voronoi Diagrams and Reconstructing Their Input,” 37–46. IEEE, 2013. https://doi.org/10.1109/ISVD.2013.11.
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2013 | Conference Paper | IST-REx-ID: 2210 | OA
Biedl, Therese, Martin Held, and Stefan Huber. “Reconstructing Polygons from Embedded Straight Skeletons.” In 29th European Workshop on Computational Geometry, 95–98. TU Braunschweig, 2013.
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2013 | Journal Article | IST-REx-ID: 2304
Pausinger, Florian. “Van Der Corput Sequences and Linear Permutations.” Electronic Notes in Discrete Mathematics 43 (2013): 43–50. https://doi.org/10.1016/j.endm.2013.07.008.
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2013 | Conference Paper | IST-REx-ID: 2807 | OA
Čadek, Martin, Marek Krcál, Jiří Matoušek, Lukáš Vokřínek, and Uli Wagner. “Extending Continuous Maps: Polynomiality and Undecidability.” In 45th Annual ACM Symposium on Theory of Computing, 595–604. ACM, 2013. https://doi.org/10.1145/2488608.2488683.
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2013 | Conference Paper | IST-REx-ID: 2812 | OA
Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. “Homological Reconstruction and Simplification in R3.” In Proceedings of the 29th Annual Symposium on Computational Geometry, 117–25. ACM, 2013. https://doi.org/10.1145/2462356.2462373.
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2013 | Journal Article | IST-REx-ID: 2815
Edelsbrunner, Herbert, Brittany Terese Fasy, and Günter Rote. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.” Discrete & Computational Geometry 49, no. 4 (2013): 797–822. https://doi.org/10.1007/s00454-013-9517-x.
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2013 | Journal Article | IST-REx-ID: 2822 | OA
Topp, Christopher, Anjali Iyer Pascuzzi, Jill Anderson, Cheng Lee, Paul Zurek, Olga Symonova, Ying Zheng, et al. “3D Phenotyping and Quantitative Trait Locus Mapping Identify Core Regions of the Rice Genome Controlling Root Architecture.” PNAS 110, no. 18 (2013): E1695–1704. https://doi.org/10.1073/pnas.1304354110.
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2013 | Conference Paper | IST-REx-ID: 2843
Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.” In 17th IAPR International Conference on Discrete Geometry for Computer Imagery, 7749:XV–XIX. Springer, 2013. https://doi.org/10.1007/978-3-642-37067-0.
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2013 | Journal Article | IST-REx-ID: 2859 | OA
Bendich, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “Homology and Robustness of Level and Interlevel Sets.” Homology, Homotopy and Applications 15, no. 1 (2013): 51–72. https://doi.org/10.4310/HHA.2013.v15.n1.a3.
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2013 | Journal Article | IST-REx-ID: 2887 | OA
Fang, Suqin, Randy Clark, Ying Zheng, Anjali Iyer Pascuzzi, Joshua Weitz, Leon Kochian, Herbert Edelsbrunner, Hong Liao, and Philip Benfey. “Genotypic Recognition and Spatial Responses by Rice Roots.” PNAS 110, no. 7 (2013): 2670–75. https://doi.org/10.1073/pnas.1222821110.
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2013 | Conference Paper | IST-REx-ID: 2901 | OA
Chen, Chao, Vladimir Kolmogorov, Zhu Yan, Dimitris Metaxas, and Christoph Lampert. “Computing the M Most Probable Modes of a Graphical Model,” 31:161–69. JMLR, 2013.
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2013 | Conference Paper | IST-REx-ID: 2906 | OA
Kerber, Michael, and Herbert Edelsbrunner. “3D Kinetic Alpha Complexes and Their Implementation.” In 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, 70–77. Society of Industrial and Applied Mathematics, 2013. https://doi.org/10.1137/1.9781611972931.6.
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2013 | Journal Article | IST-REx-ID: 2939
Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology.” Computational Geometry: Theory and Applications 46, no. 4 (2013): 435–47. https://doi.org/10.1016/j.comgeo.2012.02.010.
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2012 | Journal Article | IST-REx-ID: 2849 | OA
Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space of Steiner Minimal Trees.” Russian Mathematical Surveys 67, no. 6 (2012): 1167–68. https://doi.org/10.1070/RM2012v067n06ABEH004820.
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2012 | Journal Article | IST-REx-ID: 2902
Edelsbrunner, Herbert, Oleg Musin, Alexey Ukhalov, Olga Yakimova, Vladislav Alexeev, Victoriya Bogaevskaya, Andrey Gorohov, and Margarita Preobrazhenskaya. “Fractal and Computational Geometry for Generalizing Cartographic Objects.” Modeling and Analysis of Information Systems 19, no. 6 (2012): 152–60.
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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: 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: 2912
Edelsbrunner, Herbert, and Nataliya Strelkova. “Configuration Space for Shortest Networks .” Uspekhi Mat. Nauk 67, no. 6 (2012): 203–4. https://doi.org/10.4213/rm9503.
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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: 2971
Zankl, Georg, Yll Haxhimusa, and Adrian Ion. “Interactive Labeling of Image Segmentation Hierarchies,” 7476:11–20. Springer, 2012. https://doi.org/10.1007/978-3-642-32717-9_2.
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2012 | Journal Article | IST-REx-ID: 3115 | OA
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: 3120 | OA
Brown, Gavin, Michael Kerber, and Miles Reid. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.” Compositio Mathematica 148, no. 4 (2012): 1171–94. https://doi.org/10.1112/S0010437X11007226.
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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 | Conference Paper | IST-REx-ID: 3129 | OA
Busaryev, Oleksiy, Sergio Cabello, Chao Chen, Tamal Dey, and Yusu Wang. “Annotating Simplices with a Homology Basis and Its Applications,” 7357:189–200. Springer, 2012. https://doi.org/10.1007/978-3-642-31155-0_17.
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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: 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 | 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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