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157 Publications

2015 | Journal Article | IST-REx-ID: 1793   OA
Symonova, Olga, Christopher Topp, and Herbert Edelsbrunner. “DynamicRoots: A Software Platform for the Reconstruction and Analysis of Growing Plant Roots.” PLoS One 10, no. 6 (2015). https://doi.org/10.1371/journal.pone.0127657.
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2015 | Journal Article | IST-REx-ID: 1938
Pausinger, Florian, and Stefan Steinerberger. “On the Distribution of Local Extrema in Quantum Chaos.” Physics Letters, Section A 379, no. 6 (2015): 535–41. https://doi.org/10.1016/j.physleta.2014.12.010.
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2015 | Journal Article | IST-REx-ID: 3585
Cao, Thanh, Herbert Edelsbrunner, and Tiow Tan. “Proof of Correctness of the Digital Delaunay Triangulation Algorithm.” Computational Geometry: Theory and Applications 48, no. 7 (2015): 507–19. https://doi.org/10.1016/j.comgeo.2015.04.001.
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2015 | Thesis | IST-REx-ID: 1399
Pausinger, Florian. On the Approximation of Intrinsic Volumes. IST Austria, 2015.
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2015 | Journal Article | IST-REx-ID: 1578
Cao, Thanhtung, Herbert Edelsbrunner, and Tiowseng Tan. “Triangulations from Topologically Correct Digital Voronoi Diagrams.” Computational Geometry 48, no. 7 (2015): 507–19. https://doi.org/10.1016/j.comgeo.2015.04.001.
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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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2015 | Journal Article | IST-REx-ID: 1555
Knipl, Diána, Pawel Pilarczyk, and Gergely Röst. “Rich Bifurcation Structure in a Two Patch Vaccination Model.” SIAM Journal on Applied Dynamical Systems 14, no. 2 (2015): 980–1017. https://doi.org/10.1137/140993934.
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2015 | Conference Paper | IST-REx-ID: 1567
Edelsbrunner, Herbert. “Shape, Homology, Persistence, and Stability.” Lecture Notes in Computer Science. Springer, 2015.
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2015 | Journal Article | IST-REx-ID: 1682   OA
Franek, Peter, and Marek Krcál. “Robust Satisfiability of Systems of Equations.” Journal of the ACM 62, no. 4 (2015). https://doi.org/10.1145/2751524.
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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 | Journal Article | IST-REx-ID: 1563
Graff, Grzegorz, and Pawel Pilarczyk. “An Algorithmic Approach to Estimating the Minimal Number of Periodic Points for Smooth Self-Maps of Simply-Connected Manifolds.” Topological Methods in Nonlinear Analysis 45, no. 1 (2015): 273–86. https://doi.org/10.12775/TMNA.2015.014.
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2015 | Journal Article | IST-REx-ID: 1582
Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “Weighted Straight Skeletons in the Plane.” Computational Geometry: Theory and Applications 48, no. 2 (2015): 120–33. https://doi.org/10.1016/j.comgeo.2014.08.006.
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2015 | Journal Article | IST-REx-ID: 1710   OA
Akopyan, Arseniy, and Alexander Plakhov. “Minimal Resistance of Curves under the Single Impact Assumption.” Society for Industrial and Applied Mathematics 47, no. 4 (2015): 2754–69. https://doi.org/10.1137/140993843.
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2015 | Journal Article | IST-REx-ID: 1828   OA
Akopyan, Arseniy, Sergey Pirogov, and Aleksandr Rybko. “ Invariant Measures of Genetic Recombination Process.” Journal of Statistical Physics 160, no. 1 (2015): 163–67. https://doi.org/10.1007/s10955-015-1238-5.
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2015 | Journal Article | IST-REx-ID: 2035   OA
Edelsbrunner, Herbert, Grzegorz Jablonski, and Marian Mrozek. “The Persistent Homology of a Self-Map.” Foundations of Computational Mathematics 15, no. 5 (2015): 1213–44. https://doi.org/10.1007/s10208-014-9223-y.
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2015 | Conference Paper | IST-REx-ID: 1568
Dunaeva, Olga, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, and Daria Malkova. “The Classification of Endoscopy Images with Persistent Homology.” In Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 7034731. IEEE, 2015. https://doi.org/10.1109/SYNASC.2014.81.
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2015 | Book Chapter | IST-REx-ID: 1590   OA
Aichholzer, Oswin, Therese Biedl, Thomas Hackl, Martin Held, Stefan Huber, Peter Palfrader, and Birgit Vogtenhuber. “Representing Directed Trees as Straight Skeletons.” In Graph Drawing and Network Visualization, 9411:335–47. Lecture Notes in Computer Science. Springer, 2015. https://doi.org/10.1007/978-3-319-27261-0_28.
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2015 | Journal Article | IST-REx-ID: 1583   OA
Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “A Simple Algorithm for Computing Positively Weighted Straight Skeletons of Monotone Polygons.” Information Processing Letters 115, no. 2 (2015): 243–47. https://doi.org/10.1016/j.ipl.2014.09.021.
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2015 | Journal Article | IST-REx-ID: 1805
Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. “Homological Reconstruction and Simplification in R3.” Computational Geometry: Theory and Applications 48, no. 8 (2015): 606–21. https://doi.org/10.1016/j.comgeo.2014.08.010.
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2015 | Journal Article | IST-REx-ID: 1792
Pausinger, Florian, and Anne Svane. “A Koksma-Hlawka Inequality for General Discrepancy Systems.” Journal of Complexity 31, no. 6 (2015): 773–97. https://doi.org/10.1016/j.jco.2015.06.002.
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