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163 Publications

2015 | Journal Article | IST-REx-ID: 1578
Cao T, Edelsbrunner H, Tan T. 2015. Triangulations from topologically correct digital Voronoi diagrams. Computational Geometry. 48(7), 507–519.
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2015 | Journal Article | IST-REx-ID: 1531
Zobel V, Reininghaus J, Hotz I. 2015. Visualizing symmetric indefinite 2D tensor fields using The Heat Kernel Signature. Mathematics and Visualization. 40, 257–267.
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2015 | Journal Article | IST-REx-ID: 1555
Knipl D, Pilarczyk P, Röst G. 2015. Rich bifurcation structure in a two patch vaccination model. SIAM Journal on Applied Dynamical Systems. 14(2), 980–1017.
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2015 | Conference Paper | IST-REx-ID: 1567
Edelsbrunner H. 2015. Shape, homology, persistence, and stability. 9411.
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2015 | Journal Article | IST-REx-ID: 1682   OA
Franek P, Krcál M. 2015. Robust satisfiability of systems of equations. Journal of the ACM. 62(4).
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2015 | Conference Paper | IST-REx-ID: 1424   OA
Kwitt R, Huber S, Niethammer M, Lin W, Bauer U. 2015. Statistical topological data analysis-A kernel perspective. NIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 28. 3070–3078.
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2015 | Journal Article | IST-REx-ID: 1563
Graff G, Pilarczyk P. 2015. 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(1), 273–286.
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2015 | Conference Paper | IST-REx-ID: 1568
Dunaeva O, Edelsbrunner H, Lukyanov A, Machin M, Malkova D. 2015. The classification of endoscopy images with persistent homology. Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. SYNASC: Symbolic and Numeric Algorithms for Scientific Computing 7034731.
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2015 | Journal Article | IST-REx-ID: 1582
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. 2015. Weighted straight skeletons in the plane. Computational Geometry: Theory and Applications. 48(2), 120–133.
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2015 | Journal Article | IST-REx-ID: 1828   OA
Akopyan A, Pirogov S, Rybko A. 2015. Invariant measures of genetic recombination process. Journal of Statistical Physics. 160(1), 163–167.
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2015 | Journal Article | IST-REx-ID: 1710   OA
Akopyan A, Plakhov A. 2015. Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. 47(4), 2754–2769.
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2015 | Journal Article | IST-REx-ID: 2035   OA
Edelsbrunner H, Jablonski G, Mrozek M. 2015. The persistent homology of a self-map. Foundations of Computational Mathematics. 15(5), 1213–1244.
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2015 | Journal Article | IST-REx-ID: 1583   OA
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. 2015. A simple algorithm for computing positively weighted straight skeletons of monotone polygons. Information Processing Letters. 115(2), 243–247.
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2015 | Book Chapter | IST-REx-ID: 1590   OA
Aichholzer O, Biedl T, Hackl T, Held M, Huber S, Palfrader P, Vogtenhuber B. 2015. Representing directed trees as straight skeletons. Graph Drawing and Network Visualization. GD: International Symposium on Graph DrawingLecture Notes in Computer Science, LNCS, vol. 9411. 335–347.
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2015 | Journal Article | IST-REx-ID: 1792
Pausinger F, Svane A. 2015. A Koksma-Hlawka inequality for general discrepancy systems. Journal of Complexity. 31(6), 773–797.
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2015 | Journal Article | IST-REx-ID: 1805
Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. 2015. Homological reconstruction and simplification in R3. Computational Geometry: Theory and Applications. 48(8), 606–621.
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2014 | Book Chapter | IST-REx-ID: 2044   OA
Bauer U, Kerber M, Reininghaus J. 2014. Clear and Compress: Computing Persistent Homology in Chunks. Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization 103–117.
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2014 | Conference Paper | IST-REx-ID: 2905   OA
Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice. ECM: European Congress of Mathematics 31–50.
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2014 | Journal Article | IST-REx-ID: 1876   OA
Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504.
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2014 | Conference Paper | IST-REx-ID: 2177
Edelsbrunner H, Parsa S. 2014. On the computational complexity of betti numbers reductions from matrix rank. Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. SODA: Symposium on Discrete Algorithms 152–160.
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2014 | Journal Article | IST-REx-ID: 2184   OA
Čadek M, Krcál M, Matoušek J, Sergeraert F, Vokřínek L, Wagner U. 2014. Computing all maps into a sphere. Journal of the ACM. 61(3).
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2014 | Conference Paper | IST-REx-ID: 2153   OA
Bauer U, Lesnick M. 2014. Induced matchings of barcodes and the algebraic stability of persistence. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 355–364.
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2014 | Journal Article | IST-REx-ID: 1930
Günther D, Jacobson A, Reininghaus J, Seidel H, Sorkine Hornung O, Weinkauf T. 2014. Fast and memory-efficient topological denoising of 2D and 3D scalar fields. IEEE Transactions on Visualization and Computer Graphics. 20(12), 2585–2594.
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2014 | Journal Article | IST-REx-ID: 2255
Edelsbrunner H, Pausinger F. 2014. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 50(1), 164–177.
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2014 | Book | IST-REx-ID: 6853
Edelsbrunner H. 2014. A Short Course in Computational Geometry and Topology, Cham: Springer International Publishing, IX, 110p.
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2014 | Journal Article | IST-REx-ID: 1816   OA
Huber S, Held M, Meerwald P, Kwitt R. 2014. Topology-preserving watermarking of vector graphics. International Journal of Computational Geometry and Applications. 24(1), 61–86.
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2014 | Journal Article | IST-REx-ID: 1842   OA
Cibulka J, Gao P, Krcál M, Valla T, Valtr P. 2014. On the geometric ramsey number of outerplanar graphs. Discrete & Computational Geometry. 53(1), 64–79.
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2014 | Journal Article | IST-REx-ID: 1929
Alexeev VV, Bogaevskaya VG, Preobrazhenskaya MM, Ukhalov AY, Edelsbrunner H, Yakimova O. 2014. An algorithm for cartographic generalization that preserves global topology. Journal of Mathematical Sciences (United States). 203(6), 754–760.
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2014 | Conference Paper | IST-REx-ID: 2155   OA
Bauer U, Edelsbrunner H. 2014. The morse theory of Čech and Delaunay filtrations. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 484–490.
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2014 | Conference Paper | IST-REx-ID: 2012   OA
Iglesias Ham M, Kerber M, Uhler C. 2014. Sphere packing with limited overlap. CCCG: Canadian Conference on Computational Geometry 155–161.
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2014 | Conference Paper | IST-REx-ID: 2043   OA
Bauer U, Kerber M, Reininghaus J. 2014. Distributed computation of persistent homology. Proceedings of the Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments 31–38.
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2014 | Conference Paper | IST-REx-ID: 2156   OA
Bauer U, Ge X, Wang Y. 2014. Measuring distance between Reeb graphs. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 464–473.
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2013 | Conference Paper | IST-REx-ID: 2210   OA
Biedl T, Held M, Huber S. 2013. Reconstructing polygons from embedded straight skeletons. 29th European Workshop on Computational Geometry. EuroCG: European Workshop on Computational Geometry 95–98.
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2013 | Journal Article | IST-REx-ID: 2304
Pausinger F. 2013. Van der Corput sequences and linear permutations. Electronic Notes in Discrete Mathematics. 43, 43–50.
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2013 | Journal Article | IST-REx-ID: 2859   OA
Bendich P, Edelsbrunner H, Morozov D, Patel A. 2013. Homology and robustness of level and interlevel sets. Homology, Homotopy and Applications. 15(1), 51–72.
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2013 | Conference Paper | IST-REx-ID: 2209
Biedl T, Held M, Huber S. 2013. Recognizing straight skeletons and Voronoi diagrams and reconstructing their input. ISVD: Voronoi Diagrams in Science and Engineering, 2013 10th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2013) , 37–46.
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2013 | Conference Paper | IST-REx-ID: 2812   OA
Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. 2013. Homological reconstruction and simplification in R3. Proceedings of the 29th annual symposium on Computational Geometry. SoCG: Symposium on Computational Geometry 117–125.
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2013 | Conference Paper | IST-REx-ID: 2901   OA
Chen C, Kolmogorov V, Yan Z, Metaxas D, Lampert C. 2013. Computing the M most probable modes of a graphical model. AISTATS: Conference on Uncertainty in Artificial Intelligence, JMLR: W&CP, vol. 31. 161–169.
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2013 | Conference Paper | IST-REx-ID: 2906   OA
Kerber M, Edelsbrunner H. 2013. 3D kinetic alpha complexes and their implementation. 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. ALENEX: Algorithm Engineering and Experiments, ALENEX, 70–77.
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2013 | Conference Paper | IST-REx-ID: 2843
Edelsbrunner H, Pausinger F. 2013. Stable length estimates of tube-like shapes. 17th IAPR International Conference on Discrete Geometry for Computer Imagery. DGCI: Discrete Geometry for Computer Imagery, LNCS, vol. 7749. XV–XIX.
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2013 | Journal Article | IST-REx-ID: 2887   OA
Fang S, Clark R, Zheng Y, Iyer Pascuzzi A, Weitz J, Kochian L, Edelsbrunner H, Liao H, Benfey P. 2013. Genotypic recognition and spatial responses by rice roots. PNAS. 110(7), 2670–2675.
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2013 | Conference Paper | IST-REx-ID: 2807   OA
Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. 2013. Extending continuous maps: Polynomiality and undecidability. 45th Annual ACM Symposium on theory of computing. STOC: Symposium on the Theory of Computing 595–604.
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2013 | Journal Article | IST-REx-ID: 2939
Chen C, Kerber M. 2013. An output sensitive algorithm for persistent homology. Computational Geometry: Theory and Applications. 46(4), 435–447.
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2013 | Journal Article | IST-REx-ID: 2822   OA
Topp C, Iyer Pascuzzi A, Anderson J, Lee C, Zurek P, Symonova O, Zheng Y, Bucksch A, Mileyko Y, Galkovskyi T, Moore B, Harer J, Edelsbrunner H, Mitchell Olds T, Weitz J, Benfey P. 2013. 3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture. PNAS. 110(18), E1695–E1704.
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2013 | Journal Article | IST-REx-ID: 2815
Edelsbrunner H, Fasy BT, Rote G. 2013. Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions. Discrete & Computational Geometry. 49(4), 797–822.
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2012 | Journal Article | IST-REx-ID: 2912
Edelsbrunner H, Strelkova N. 2012. Configuration space for shortest networks . Uspekhi Mat. Nauk. 67(6), 203–204.
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2012 | Conference Paper | IST-REx-ID: 3129   OA
Busaryev O, Cabello S, Chen C, Dey T, Wang Y. 2012. Annotating simplices with a homology basis and its applications. SWAT: Symposium and Workshops on Algorithm Theory, LNCS, vol. 7357. 189–200.
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2012 | Journal Article | IST-REx-ID: 3256   OA
Edelsbrunner H, Kerber M. 2012. Dual complexes of cubical subdivisions of ℝn. Discrete & Computational Geometry. 47(2), 393–414.
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2012 | Journal Article | IST-REx-ID: 3120   OA
Brown G, Kerber M, Reid M. 2012. Fano 3 folds in codimension 4 Tom and Jerry Part I. Compositio Mathematica. 148(4), 1171–1194.
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2012 | Journal Article | IST-REx-ID: 3310   OA
Bendich P, Cabello S, Edelsbrunner H. 2012. A point calculus for interlevel set homology. Pattern Recognition Letters. 33(11), 1436–1444.
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2012 | Journal Article | IST-REx-ID: 2902
Edelsbrunner H, Musin O, Ukhalov A, Yakimova O, Alexeev V, Bogaevskaya V, Gorohov A, Preobrazhenskaya M. 2012. Fractal and computational geometry for generalizing cartographic objects. Modeling and Analysis of Information Systems. 19(6), 152–160.
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2012 | Journal Article | IST-REx-ID: 2849   OA
Edelsbrunner H, Strelkova N. 2012. On the configuration space of Steiner minimal trees. Russian Mathematical Surveys. 67(6), 1167–1168.
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2012 | Conference Paper | IST-REx-ID: 2971
Zankl G, Haxhimusa Y, Ion A. 2012. Interactive labeling of image segmentation hierarchies. Pattern Recognition vol. 7476. 11–20.
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2012 | Conference Paper | IST-REx-ID: 3133   OA
Edelsbrunner H, Kerber M. 2012. Alexander duality for functions: The persistent behavior of land and water and shore. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry 249–258.
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2012 | Conference Paper | IST-REx-ID: 3265
Ion A, Carreira J, Sminchisescu C. 2012. Image segmentation by figure-ground composition into maximal cliques. ICCV: International Conference on Computer Vision
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2012 | Conference Paper | IST-REx-ID: 2903   OA
Edelsbrunner H, Symonova O. 2012. The adaptive topology of a digital image. ISVD: International Symposium on Voronoi Diagrams in Science and Engineering 41–48.
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2012 | Journal Article | IST-REx-ID: 2941   OA
Dolbilin N, Edelsbrunner H, Musin O. 2012. On the optimality of functionals over triangulations of Delaunay sets. Russian Mathematical Surveys. 67(4), 781–783.
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2012 | Conference Paper | IST-REx-ID: 3127   OA
Quadrianto N, Lampert C, Chen C. 2012. The most persistent soft-clique in a set of sampled graphs. Proceedings of the 29th International Conference on Machine Learning. ICML: International Conference on Machine Learning 211–218.
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2012 | Conference Paper | IST-REx-ID: 3134
Edelsbrunner H, Fasy B, Rote G. 2012. Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions. Proceedings of the twenty-eighth annual symposium on Computational geometry . SCG: Symposium on Computational Geometry 91–100.
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2012 | Journal Article | IST-REx-ID: 3331   OA
Kerber M, Sagraloff M. 2012. A worst case bound for topology computation of algebraic curves. Journal of Symbolic Computation. 47(3), 239–258.
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2012 | Journal Article | IST-REx-ID: 3115
Berberich E, Halperin D, Kerber M, Pogalnikova R. 2012. Deconstructing approximate offsets. Discrete & Computational Geometry. 48(4), 964–989.
View | Files available | DOI | Download (ext.) | arXiv
 
2012 | Journal Article | IST-REx-ID: 2904   OA
Pausinger F. 2012. Weak multipliers for generalized van der Corput sequences. Journal de Theorie des Nombres des Bordeaux. 24(3), 729–749.
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2012 | Journal Article | IST-REx-ID: 3159   OA
Mileyko Y, Edelsbrunner H, Price C, Weitz J. 2012. Hierarchical ordering of reticular networks. PLoS One. 7(6).
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2012 | Journal Article | IST-REx-ID: 6588   OA
Pausinger F. 2012. Elementary solutions of the bernstein problem on two intervals. Journal of Mathematical Physics, Analysis, Geometry. 8(1), 63–78.
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2011 | Conference Paper | IST-REx-ID: 3270
Chen C, Kerber M. 2011. Persistent homology computation with a twist. EuroCG: European Workshop on Computational Geometry 197–200.
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2011 | Journal Article | IST-REx-ID: 3965
Wang B, Edelsbrunner H, Morozov D. 2011. Computing elevation maxima by searching the Gauss sphere. Journal of Experimental Algorithmics. 16(2.2), 1–13.
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2011 | Journal Article | IST-REx-ID: 3269
Sheng Y, Cutler B, Chen C, Nasman J. 2011. Perceptual global illumination cancellation in complex projection environments. Computer Graphics Forum. 30(4), 1261–1268.
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2011 | Book Chapter | IST-REx-ID: 3271
Wagner H, Chen C, Vuçini E. 2011. Efficient computation of persistent homology for cubical data. Topological Methods in Data Analysis and Visualization II. , Theory, Algorithms, and Applications, 91–106.
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2011 | Journal Article | IST-REx-ID: 3334
Edelsbrunner H, Pach J, Ziegler G. 2011. Letter from the new editors-in-chief. Discrete & Computational Geometry. 45(1), 1–2.
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2011 | Journal Article | IST-REx-ID: 3377   OA
Edelsbrunner H, Morozov D, Patel A. 2011. Quantifying transversality by measuring the robustness of intersections. Foundations of Computational Mathematics. 11(3), 345–361.
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2011 | Book Chapter | IST-REx-ID: 3311
Edelsbrunner H. 2011. Alpha shapes - a survey. Tessellations in the Sciences.
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2011 | Conference Paper | IST-REx-ID: 3330   OA
Kerber M, Sagraloff M. 2011. Root refinement for real polynomials. ISSAC: International Symposium on Symbolic and Algebraic Computation 209–216.
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2011 | Book Chapter | IST-REx-ID: 3335   OA
Van De Weygaert R, Vegter G, Edelsbrunner H, Jones B, Pranav P, Park C, Hellwing W, Eldering B, Kruithof N, Bos P, Hidding J, Feldbrugge J, Ten Have E, Van Engelen M, Caroli M, Teillaud M. 2011. Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web. Transactions on Computational Science XIV. Special Issue on Voronoi Diagrams and Delaunay Triangulation, LNCS, vol. 6970. 60–101.
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2011 | Conference Paper | IST-REx-ID: 3328
Berberich E, Hemmer M, Kerber M. 2011. A generic algebraic kernel for non linear geometric applications. SCG: Symposium on Computational Geometry 179–186.
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2011 | Book Chapter | IST-REx-ID: 3796   OA
Edelsbrunner H, Kerber M. 2011. Covering and packing with spheres by diagonal distortion in R^n. Rainbow of Computer Science. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday, LNCS, vol. 6570. 20–35.
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2011 | Journal Article | IST-REx-ID: 3378
Bendich P, Harer J. 2011. Persistent intersection homology. Foundations of Computational Mathematics. 11(3), 305–336.
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2011 | Conference Paper | IST-REx-ID: 3266
Ion A, Carreira J, Sminchisescu C. 2011. Probabilistic joint image segmentation and labeling. NIPS Proceedings. NIPS: Neural Information Processing Systems vol. 24. 1827–1835.
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2011 | Conference Poster | IST-REx-ID: 3312   OA
Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. 2011. Detailed reconstruction of 3D plant root shape, IEEE,p.
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2011 | Conference Paper | IST-REx-ID: 3329   OA
Berberich E, Halperin D, Kerber M, Pogalnikova R. 2011. Deconstructing approximate offsets. Proceedings of the twenty-seventh annual symposium on Computational geometry. SCG: Symposium on Computational Geometry 187–196.
View | Files available | DOI | Download (ext.)
 
2011 | Conference Paper | IST-REx-ID: 3367
Chen C, Kerber M. 2011. An output sensitive algorithm for persistent homology. SoCG: Symposium on Computational Geometry 207–216.
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2011 | Conference Paper | IST-REx-ID: 3336
Chen C, Freedman D, Lampert C. 2011. Enforcing topological constraints in random field image segmentation. CVPR: Computer Vision and Pattern Recognition. CVPR: Conference on Computer Vision and Pattern Recognition 2089–2096.
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2011 | Journal Article | IST-REx-ID: 3267
Chen C, Freedman D. 2011. Hardness results for homology localization. Discrete & Computational Geometry. 45(3), 425–448.
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2011 | Conference Paper | IST-REx-ID: 3313   OA
Chen C, Edelsbrunner H. 2011. Diffusion runs low on persistence fast. Proceedings of the IEEE International Conference on Computer Vision. ICCV: International Conference on Computer Vision 6126271.
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2011 | Journal Article | IST-REx-ID: 3332
Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces. Graphs and Combinatorics. 27(3), 419–430.
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2011 | Journal Article | IST-REx-ID: 3781
Fasy BT. 2011. The difference in length of curves in R^n. Acta Sci. Math. (Szeged). 77(1–2), 359–367.
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2010 | Conference Paper | IST-REx-ID: 3782
Chen C, Freedman D. 2010. Topology noise removal for curve  and surface evolution. Conference proceedings MCV 2010. MCV: Medical Computer Vision, LNCS, vol. 6533. 31–42.
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2010 | Book Chapter | IST-REx-ID: 3795   OA
Edelsbrunner H, Morozov D, Patel A. 2010. The stability of the apparent contour of an orientable 2-manifold. Topological Data Analysis and Visualization: Theory, Algorithms and Applications. , Mathematics and Visualization, 27–42.
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2010 | Conference Paper | IST-REx-ID: 3853   OA
Chatterjee K, Doyen L, Edelsbrunner H, Henzinger TA, Rannou P. 2010. Mean-payoff automaton expressions. CONCUR: Concurrency Theory, LNCS, vol. 6269. 269–283.
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2010 | Journal Article | IST-REx-ID: 3901   OA
Bendich P, Edelsbrunner H, Kerber M. 2010. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 16(6), 1251–1260.
View | Files available | DOI
 
2010 | Conference Paper | IST-REx-ID: 3848
Bendich P, Edelsbrunner H, Morozov D, Patel A. 2010. The robustness of level sets. ESA: European Symposium on Algorithms, LNCS, vol. 6346. 1–10.
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2010 | Conference Paper | IST-REx-ID: 3850
Berberich E, Halperin D, Kerber M, Pogalnikova R. 2010. Polygonal reconstruction from approximate offsets. EuroCG: European Workshop on Computational Geometry 12–23.
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2010 | Conference Paper | IST-REx-ID: 3849   OA
Bendich P, Edelsbrunner H, Kerber M, Patel A. 2010. Persistent homology under non-uniform error. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 6281. 12–23.
View | Files available | DOI
 
2009 | Conference Paper | IST-REx-ID: 3968   OA
Edelsbrunner H, Harer J. 2009. The persistent Morse complex segmentation of a 3-manifold. 3DPH: Modelling the Physiological Human, LNCS, vol. 5903. 36–50.
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