280 Publications

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[280]
2020 | Journal Article | IST-REx-ID: 7554 | OA
Edelsbrunner H, Nikitenko A. 2020. Weighted Poisson–Delaunay mosaics. Theory of Probability and its Applications. 64(4), 595–614.
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[279]
2020 | Journal Article | IST-REx-ID: 7666 | OA
Edelsbrunner H, Ölsböck K. 2020. Tri-partitions and bases of an ordered complex. Discrete and Computational Geometry.
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[278]
2020 | Conference Paper | IST-REx-ID: 8135
Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. Topological Data Analysis. , Abel Symposia, vol. 15. 181–218.
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[277]
2019 | Journal Article | IST-REx-ID: 5678 | OA
Edelsbrunner H, Nikitenko A. 2019. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 62(4), 865–878.
View | Files available | DOI | arXiv
 
[276]
2019 | Journal Article | IST-REx-ID: 6608 | OA
Edelsbrunner H, Ölsböck K. 2019. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 73, 1–15.
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[275]
2019 | Conference Paper | IST-REx-ID: 6648 | OA
Edelsbrunner H, Virk Z, Wagner H. 2019. Topological data analysis in information space. 35th International Symposium on Computational Geometry. SoCG 2019: Symposium on Computational Geometry, LIPIcs, vol. 129. 31:1-31:14.
View | Files available | DOI | arXiv
 
[274]
2019 | Journal Article | IST-REx-ID: 6756 | OA
Pranav P, Adler RJ, Buchert T, Edelsbrunner H, Jones BJT, Schwartzman A, Wagner H, Van De Weygaert R. 2019. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy and Astrophysics. 627.
View | Files available | DOI | arXiv
 
[273]
2018 | Journal Article | IST-REx-ID: 530 | OA
Edelsbrunner H, Iglesias Ham M. 2018. Multiple covers with balls I: Inclusion–exclusion. Computational Geometry: Theory and Applications. 68, 119–133.
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[272]
2018 | Journal Article | IST-REx-ID: 312
Edelsbrunner H, Iglesias Ham M. 2018. On the optimality of the FCC lattice for soft sphere packing. SIAM J Discrete Math. 32(1), 750–782.
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[271]
2018 | Conference Paper | IST-REx-ID: 187 | OA
Edelsbrunner H, Osang GF. 2018. The multi-cover persistence of Euclidean balls. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99.
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[270]
2018 | Conference Paper | IST-REx-ID: 188 | OA
Edelsbrunner H, Virk Z, Wagner H. 2018. Smallest enclosing spheres and Chernoff points in Bregman geometry. SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in Information, LIPIcs, vol. 99. 35:1-35:13.
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[269]
2018 | Journal Article | IST-REx-ID: 87 | OA
Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238.
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[268]
2017 | Journal Article | IST-REx-ID: 718 | OA
Edelsbrunner H, Nikitenko A, Reitzner M. 2017. Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. 49(3), 745–767.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[267]
2017 | Conference Paper | IST-REx-ID: 688 | OA
Edelsbrunner H, Wagner H. 2017. Topological data analysis with Bregman divergences. Symposium on Computational Geometry, SoCG, LIPIcs, vol. 77. 391–3916.
View | Files available | DOI
 
[266]
2017 | Book Chapter | IST-REx-ID: 84
Edelsbrunner H, Koehl P. 2017. Computational topology for structural molecular biology. Handbook of Discrete and Computational Geometry, Third Edition. Handbook of Discrete and Computational Geometry 1709–1735.
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[265]
2017 | Journal Article | IST-REx-ID: 1022 | OA
Pranav P, Edelsbrunner H, Van De Weygaert R, Vegter G, Kerber M, Jones B, Wintraecken M. 2017. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society. 465(4), 4281–4310.
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[264]
2017 | Journal Article | IST-REx-ID: 1072 | OA
Bauer U, Edelsbrunner H. 2017. The Morse theory of Čech and delaunay complexes. Transactions of the American Mathematical Society. 369(5), 3741–3762.
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[263]
2017 | Journal Article | IST-REx-ID: 1173 | OA
Edelsbrunner H, Glazyrin A, Musin O, Nikitenko A. 2017. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. 37(5), 887–910.
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[262]
2016 | Journal Article | IST-REx-ID: 1662 | OA
Edelsbrunner H, Pausinger F. 2016. Approximation and convergence of the intrinsic volume. Advances in Mathematics. 287, 674–703.
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[261]
2016 | Journal Article | IST-REx-ID: 1289 | OA
Dunaeva O, Edelsbrunner H, Lukyanov A, Machin M, Malkova D, Kuvaev R, Kashin S. 2016. The classification of endoscopy images with persistent homology. Pattern Recognition Letters. 83(1), 13–22.
View | Files available | DOI
 
[260]
2016 | Journal Article | IST-REx-ID: 1295
Edelsbrunner H, Iglesias Ham M. 2016. Multiple covers with balls II: Weighted averages. Electronic Notes in Discrete Mathematics. 54, 169–174.
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[259]
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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[258]
2015 | Conference Paper | IST-REx-ID: 1567
Edelsbrunner H. 2015. Shape, homology, persistence, and stability. 9411.
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[257]
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.
View | Files available | DOI
 
[256]
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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[255]
2015 | Journal Article | IST-REx-ID: 1793 | OA
Symonova O, Topp C, Edelsbrunner H. 2015. DynamicRoots: A software platform for the reconstruction and analysis of growing plant roots. PLoS One. 10(6).
View | Files available | DOI
 
[254]
2015 | Conference Paper | IST-REx-ID: 1495 | OA
Edelsbrunner H, Iglesias Ham M, Kurlin V. 2015. Relaxed disk packing. Proceedings of the 27th Canadian Conference on Computational Geometry. CCCG: Canadian Conference on Computational Geometry vol. 2015–August. 128–135.
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[253]
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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[252]
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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[251]
2014 | Journal Article | IST-REx-ID: 2255 | OA
Edelsbrunner H, Pausinger F. 2014. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 50(1), 164–177.
View | Files available | DOI
 
[250]
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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[249]
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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[248]
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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[247]
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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[246]
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.
View | DOI | Download Submitted Version (ext.) | PubMed | Europe PMC
 
[245]
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.
View | Files available | DOI
 
[244]
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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[243]
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.
View | DOI | Download Published Version (ext.) | PubMed | Europe PMC
 
[242]
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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[241]
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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[240]
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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[239]
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.
View | Files available | DOI
 
[238]
2012 | Journal Article | IST-REx-ID: 2911
Edelsbrunner H, Ivanov A, Karasev R. 2012. Open problems in discrete and computational geometry. Automatic Control and Computer Sciences. in print.
View
 
[237]
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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[236]
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.
View | Files available | DOI
 
[235]
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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[234]
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.
View | Files available | DOI
 
[233]
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).
View | Files available | DOI
 
[232]
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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[231]
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.
View | Files available | DOI
 
[230]
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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[229]
2011 | Book Chapter | IST-REx-ID: 3311
Edelsbrunner H. 2011. Alpha shapes - a survey. Tessellations in the Sciences.
View
 
[228]
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.
View | Files available | DOI
 
[227]
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
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[226]
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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[225]
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.
View | DOI | Download Preprint (ext.) | arXiv
 
[224]
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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[223]
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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[222]
2010 | Journal Article | IST-REx-ID: 3964
Cohen Steiner D, Edelsbrunner H, Harer J, Mileyko Y. 2010. Lipschitz functions have L_p-stable persistence. Foundations of Computational Mathematics. 10(2), 127–139.
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[221]
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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[220]
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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[219]
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
 
[218]
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.
View | Files available | DOI
 
[217]
2010 | Book | IST-REx-ID: 3899
Edelsbrunner H, Harer J. 2010. Computational Topology: An Introduction, American Mathematical Society,p.
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[216]
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
 
[215]
2009 | Journal Article | IST-REx-ID: 3966
Cohen Steiner D, Edelsbrunner H, Harer J. 2009. Extending persistence using Poincare and Lefschetz duality. Foundations of Computational Mathematics. 9(1), 79–103.
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[214]
2009 | Conference Paper | IST-REx-ID: 3967
Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2009. Persistent homology for kernels, images, and cokernels. SODA: Symposium on Discrete Algorithms 1011–1020.
View
 
[213]
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.
View | Files available | DOI
 
[212]
2009 | Book Chapter | IST-REx-ID: 3578
Attali D, Boissonnat J, Edelsbrunner H. 2009. Stability and computation of medial axes: a state-of-the-art report. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. , Mathematics and Visualization, 109–125.
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[211]
2008 | Book Chapter | IST-REx-ID: 3969
Edelsbrunner H, Harer J. 2008. Persistent homology - a survey. Surveys on Discrete and Computational Geometry: Twenty Years Later. , Contemporary Mathematics, 257–282.
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[210]
2008 | Journal Article | IST-REx-ID: 3970
Dequéant M, Ahnert S, Edelsbrunner H, Fink T, Glynn E, Hattem G, Kudlicki A, Mileyko Y, Morton J, Mushegian A, Pachter L, Rowicka M, Shiu A, Sturmfels B, Pourquie O. 2008. Comparison of pattern detection methods in microarray time series of the segmentation clock. PLoS One. 3(8).
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[209]
2008 | Journal Article | IST-REx-ID: 3971
Edelsbrunner H, Harer J, Mascarenhas A, Pascucci V, Snoeyink J. 2008. Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications. 41(3), 149–166.
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[208]
2008 | Conference Paper | IST-REx-ID: 3974
Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. SCG: Symposium on Computational Geometry 242–250.
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[207]
2008 | Book Chapter | IST-REx-ID: 3577
Biasotti S, Attali D, Boissonnat J, Edelsbrunner H, Elber G, Mortara M, Sanniti Di Baja G, Spagnuolo M, Tanase M, Veltkam R. 2008. Skeletal structures. Shape Analysis and Structuring. , Mathematics and Visualization, 145–183.
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[206]
2007 | Journal Article | IST-REx-ID: 3972
Cohen Steiner D, Edelsbrunner H, Harer J. 2007. Stability of persistence diagrams. Discrete & Computational Geometry. 37(1), 103–120.
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[205]
2007 | Journal Article | IST-REx-ID: 3973
Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404.
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[204]
2007 | Conference Paper | IST-REx-ID: 3975
Bendich P, Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2007. Inferring local homology from sampled stratified spaces. FOCS: Foundations of Computer Science 536–546.
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[203]
2007 | Journal Article | IST-REx-ID: 3976
Headd J, Ban YEA, Brown P, Edelsbrunner H, Vaidya M, Rudolph J. 2007. Protein-protein interfaces: Properties, preferences, and projections. Journal of Proteome Research. 6(7), 2576–2586.
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[202]
2007 | Journal Article | IST-REx-ID: 3977
Attali D, Edelsbrunner H. 2007. Inclusion-exclusion formulas from independent complexes. Discrete & Computational Geometry. 37(1), 59–77.
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[201]
2007 | Conference Paper | IST-REx-ID: 3981
Attali D, Edelsbrunner H, Harer J, Mileyko Y. 2007. Alpha-beta witness complexes. WADS: International Workshop on Algrithms and Data Structures, LNCS, vol. 4619. 386–397.
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[200]
2007 | Conference Paper | IST-REx-ID: 3561 | OA
Attali D, Edelsbrunner H, Mileyko Y. 2007. Weak witnesses for Delaunay triangulations of submanifolds. SPM: Symposium on Solid and Physical Modeling 143–150.
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[199]
2006 | Journal Article | IST-REx-ID: 3978
Ban Y, Rudolph J, Zhou P, Edelsbrunner H. 2006. Evaluating the quality of NMR structures by local density of protons. Proteins: Structure, Function and Bioinformatics. 62(4), 852–864.
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[198]
2006 | Journal Article | IST-REx-ID: 3979
Ban Y, Edelsbrunner H, Rudolph J. 2006. Interface surfaces for protein-protein complexes. Journal of the ACM. 53(3), 361–378.
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[197]
2006 | Journal Article | IST-REx-ID: 3980
Agarwal P, Edelsbrunner H, Harer J, Wang Y. 2006. Extreme elevation on a 2-manifold. Discrete & Computational Geometry. 36(4), 553–572.
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[196]
2006 | Patent | IST-REx-ID: 3510
Edelsbrunner H, Fu P, Nekhayev D, Facello M, Williams S. 2006. Method, apparatus and computer program products for automatically generating NURBS models of triangulated surfaces using homeomorphism.
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[195]
2006 | Patent | IST-REx-ID: 3511
Fu P, Nekhayev D, Edelsbrunner H. 2006. Manufacturing methods and systems for rapid production of hearing-aid shells.
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[194]
2006 | Patent | IST-REx-ID: 3512
Fletcher Y, Gloth T, Edelsbrunner H, Fu P. 2006. Method, apparatus and computer products that reconstruct surfaces from data points.
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[193]
2006 | Conference Paper | IST-REx-ID: 3559
Cohen Steiner D, Edelsbrunner H, Morozov D. 2006. Vines and vineyards by updating persistence in linear time. SCG: Symposium on Computational Geometry 119–126.
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[192]
2006 | Conference Paper | IST-REx-ID: 3560
Edelsbrunner H, Morozov D, Pascucci V. 2006. Persistence-sensitive simplification of functions on 2-manifolds. SCG: Symposium on Computational Geometry 127–134.
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[191]
2005 | Conference Paper | IST-REx-ID: 3982
Wang Y, Agarwal P, Brown P, Edelsbrunner H, Rudolph J. 2005. Coarse and reliable geometric alignment for protein docking. PSB: Pacific Symposium on Biocomputing 64–75.
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[190]
2005 | Journal Article | IST-REx-ID: 3983
Sohn J, Parks J, Buhrman G, Brown P, Kristjánsdóttir K, Safi A, Edelsbrunner H, Yang W, Rudolph J. 2005. Experimental validation of the docking orientation of Cdc25 with its Cdk2-CycA protein substrate. Biochemistry. 44(50), 16563–16573.
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[189]
2005 | Patent | IST-REx-ID: 3509
Williams S, Edelsbrunner H, Fu P. 2005. Methods, apparatus and computer program products for modeling three-dimensional colored objects.
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[188]
2005 | Conference Paper | IST-REx-ID: 3557
Edelsbrunner H. 2005. Surface tiling with differential topology. SGP: Eurographics Symposium on Geometry processing 9–11.
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[187]
2005 | Conference Paper | IST-REx-ID: 3558
Attali D, Cohen Steiner D, Edelsbrunner H. 2005. Extraction and simplification of iso-surfaces in tandem. SGP: Eurographics Symposium on Geometry processing 139–148.
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[186]
2005 | Book Chapter | IST-REx-ID: 3576
Edelsbrunner H, Koehl P. 2005. The geometry of biomolecular solvation. Combinatorial and Computational Geometry. , Mathematical Sciences Research Institute Publications, vol. 52. 243–275.
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[185]
2004 | Journal Article | IST-REx-ID: 3984
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2004. A topological hierarchy for functions on triangulated surfaces. IEEE Transactions on Visualization and Computer Graphics. 10(4), 385–396.
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[184]
2004 | Journal Article | IST-REx-ID: 3985
Cole Mclaughlin K, Edelsbrunner H, Harer J, Natarajan V, Pascucci V. 2004. Loops in Reeb graphs of 2-manifolds. Discrete & Computational Geometry. 32(2), 231–244.
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[183]
2004 | Journal Article | IST-REx-ID: 3986
Bryant R, Edelsbrunner H, Koehl P, Levitt M. 2004. The area derivative of a space-filling diagram. Discrete & Computational Geometry. 32(3), 293–308.
View | DOI
 
[182]
2004 | Journal Article | IST-REx-ID: 3987
Natarajan V, Edelsbrunner H. 2004. Simplification of three-dimensional density maps. IEEE Transactions on Visualization and Computer Graphics. 10(5), 587–597.
View | DOI
 
[181]
2004 | Conference Paper | IST-REx-ID: 3988
Choi V, Agarwal P, Edelsbrunner H, Rudolph J. 2004. Local search heuristic for rigid protein docking. WABI: 4th International Workshop on Algorithms in Bioinformatics, LNCS, vol. 3240. 218–229.
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[280]
2020 | Journal Article | IST-REx-ID: 7554 | OA
Edelsbrunner H, Nikitenko A. 2020. Weighted Poisson–Delaunay mosaics. Theory of Probability and its Applications. 64(4), 595–614.
View | DOI | Download Preprint (ext.) | arXiv
 
[279]
2020 | Journal Article | IST-REx-ID: 7666 | OA
Edelsbrunner H, Ölsböck K. 2020. Tri-partitions and bases of an ordered complex. Discrete and Computational Geometry.
View | DOI | Download Published Version (ext.)
 
[278]
2020 | Conference Paper | IST-REx-ID: 8135
Edelsbrunner H, Nikitenko A, Ölsböck K, Synak P. 2020. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. Topological Data Analysis. , Abel Symposia, vol. 15. 181–218.
View | DOI
 
[277]
2019 | Journal Article | IST-REx-ID: 5678 | OA
Edelsbrunner H, Nikitenko A. 2019. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 62(4), 865–878.
View | Files available | DOI | arXiv
 
[276]
2019 | Journal Article | IST-REx-ID: 6608 | OA
Edelsbrunner H, Ölsböck K. 2019. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 73, 1–15.
View | Files available | DOI
 
[275]
2019 | Conference Paper | IST-REx-ID: 6648 | OA
Edelsbrunner H, Virk Z, Wagner H. 2019. Topological data analysis in information space. 35th International Symposium on Computational Geometry. SoCG 2019: Symposium on Computational Geometry, LIPIcs, vol. 129. 31:1-31:14.
View | Files available | DOI | arXiv
 
[274]
2019 | Journal Article | IST-REx-ID: 6756 | OA
Pranav P, Adler RJ, Buchert T, Edelsbrunner H, Jones BJT, Schwartzman A, Wagner H, Van De Weygaert R. 2019. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy and Astrophysics. 627.
View | Files available | DOI | arXiv
 
[273]
2018 | Journal Article | IST-REx-ID: 530 | OA
Edelsbrunner H, Iglesias Ham M. 2018. Multiple covers with balls I: Inclusion–exclusion. Computational Geometry: Theory and Applications. 68, 119–133.
View | Files available | DOI
 
[272]
2018 | Journal Article | IST-REx-ID: 312
Edelsbrunner H, Iglesias Ham M. 2018. On the optimality of the FCC lattice for soft sphere packing. SIAM J Discrete Math. 32(1), 750–782.
View | DOI
 
[271]
2018 | Conference Paper | IST-REx-ID: 187 | OA
Edelsbrunner H, Osang GF. 2018. The multi-cover persistence of Euclidean balls. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99.
View | Files available | DOI
 
[270]
2018 | Conference Paper | IST-REx-ID: 188 | OA
Edelsbrunner H, Virk Z, Wagner H. 2018. Smallest enclosing spheres and Chernoff points in Bregman geometry. SoCG: Symposium on Computational Geometry, Leibniz International Proceedings in Information, LIPIcs, vol. 99. 35:1-35:13.
View | Files available | DOI
 
[269]
2018 | Journal Article | IST-REx-ID: 87 | OA
Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[268]
2017 | Journal Article | IST-REx-ID: 718 | OA
Edelsbrunner H, Nikitenko A, Reitzner M. 2017. Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. 49(3), 745–767.
View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[267]
2017 | Conference Paper | IST-REx-ID: 688 | OA
Edelsbrunner H, Wagner H. 2017. Topological data analysis with Bregman divergences. Symposium on Computational Geometry, SoCG, LIPIcs, vol. 77. 391–3916.
View | Files available | DOI
 
[266]
2017 | Book Chapter | IST-REx-ID: 84
Edelsbrunner H, Koehl P. 2017. Computational topology for structural molecular biology. Handbook of Discrete and Computational Geometry, Third Edition. Handbook of Discrete and Computational Geometry 1709–1735.
View | DOI
 
[265]
2017 | Journal Article | IST-REx-ID: 1022 | OA
Pranav P, Edelsbrunner H, Van De Weygaert R, Vegter G, Kerber M, Jones B, Wintraecken M. 2017. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society. 465(4), 4281–4310.
View | DOI | Download Submitted Version (ext.)
 
[264]
2017 | Journal Article | IST-REx-ID: 1072 | OA
Bauer U, Edelsbrunner H. 2017. The Morse theory of Čech and delaunay complexes. Transactions of the American Mathematical Society. 369(5), 3741–3762.
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[263]
2017 | Journal Article | IST-REx-ID: 1173 | OA
Edelsbrunner H, Glazyrin A, Musin O, Nikitenko A. 2017. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. 37(5), 887–910.
View | DOI | Download Submitted Version (ext.)
 
[262]
2016 | Journal Article | IST-REx-ID: 1662 | OA
Edelsbrunner H, Pausinger F. 2016. Approximation and convergence of the intrinsic volume. Advances in Mathematics. 287, 674–703.
View | Files available | DOI
 
[261]
2016 | Journal Article | IST-REx-ID: 1289 | OA
Dunaeva O, Edelsbrunner H, Lukyanov A, Machin M, Malkova D, Kuvaev R, Kashin S. 2016. The classification of endoscopy images with persistent homology. Pattern Recognition Letters. 83(1), 13–22.
View | Files available | DOI
 
[260]
2016 | Journal Article | IST-REx-ID: 1295
Edelsbrunner H, Iglesias Ham M. 2016. Multiple covers with balls II: Weighted averages. Electronic Notes in Discrete Mathematics. 54, 169–174.
View | DOI
 
[259]
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.
View | Files available | DOI
 
[258]
2015 | Conference Paper | IST-REx-ID: 1567
Edelsbrunner H. 2015. Shape, homology, persistence, and stability. 9411.
View
 
[257]
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.
View | Files available | DOI
 
[256]
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.
View | DOI
 
[255]
2015 | Journal Article | IST-REx-ID: 1793 | OA
Symonova O, Topp C, Edelsbrunner H. 2015. DynamicRoots: A software platform for the reconstruction and analysis of growing plant roots. PLoS One. 10(6).
View | Files available | DOI
 
[254]
2015 | Conference Paper | IST-REx-ID: 1495 | OA
Edelsbrunner H, Iglesias Ham M, Kurlin V. 2015. Relaxed disk packing. Proceedings of the 27th Canadian Conference on Computational Geometry. CCCG: Canadian Conference on Computational Geometry vol. 2015–August. 128–135.
View | Download Submitted Version (ext.)
 
[253]
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.
View | DOI | Download Submitted Version (ext.)
 
[252]
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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[251]
2014 | Journal Article | IST-REx-ID: 2255 | OA
Edelsbrunner H, Pausinger F. 2014. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 50(1), 164–177.
View | Files available | DOI
 
[250]
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.
View | Files available | DOI
 
[249]
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.
View | Download Submitted Version (ext.)
 
[248]
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.
View | DOI
 
[247]
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.
View | Files available | DOI
 
[246]
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.
View | DOI | Download Submitted Version (ext.) | PubMed | Europe PMC
 
[245]
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.
View | Files available | DOI
 
[244]
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.
View | DOI | Download Preprint (ext.) | arXiv
 
[243]
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.
View | DOI | Download Published Version (ext.) | PubMed | Europe PMC
 
[242]
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.
View | Files available | DOI
 
[241]
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.
View | Files available | DOI
 
[240]
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.
View | Download None (ext.)
 
[239]
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.
View | Files available | DOI
 
[238]
2012 | Journal Article | IST-REx-ID: 2911
Edelsbrunner H, Ivanov A, Karasev R. 2012. Open problems in discrete and computational geometry. Automatic Control and Computer Sciences. in print.
View
 
[237]
2012 | Journal Article | IST-REx-ID: 2912
Edelsbrunner H, Strelkova N. 2012. Configuration space for shortest networks . Uspekhi Mat. Nauk. 67(6), 203–204.
View | DOI
 
[236]
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.
View | Files available | DOI
 
[235]
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.
View | DOI | Download Preprint (ext.)
 
[234]
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.
View | Files available | DOI
 
[233]
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).
View | Files available | DOI
 
[232]
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.
View | Files available | DOI
 
[231]
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.
View | Files available | DOI
 
[230]
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.
View | DOI
 
[229]
2011 | Book Chapter | IST-REx-ID: 3311
Edelsbrunner H. 2011. Alpha shapes - a survey. Tessellations in the Sciences.
View
 
[228]
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.
View | Files available | DOI
 
[227]
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
View | Files available | DOI
 
[226]
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.
View | DOI
 
[225]
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.
View | DOI | Download Preprint (ext.) | arXiv
 
[224]
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.
View | DOI | Download Submitted Version (ext.)
 
[223]
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.
View | Files available | DOI
 
[222]
2010 | Journal Article | IST-REx-ID: 3964
Cohen Steiner D, Edelsbrunner H, Harer J, Mileyko Y. 2010. Lipschitz functions have L_p-stable persistence. Foundations of Computational Mathematics. 10(2), 127–139.
View | DOI
 
[221]
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.
View | Files available | DOI
 
[220]
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.
View | DOI
 
[219]
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
 
[218]
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.
View | Files available | DOI
 
[217]
2010 | Book | IST-REx-ID: 3899
Edelsbrunner H, Harer J. 2010. Computational Topology: An Introduction, American Mathematical Society,p.
View | Files available
 
[216]
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
 
[215]
2009 | Journal Article | IST-REx-ID: 3966
Cohen Steiner D, Edelsbrunner H, Harer J. 2009. Extending persistence using Poincare and Lefschetz duality. Foundations of Computational Mathematics. 9(1), 79–103.
View | DOI
 
[214]
2009 | Conference Paper | IST-REx-ID: 3967
Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2009. Persistent homology for kernels, images, and cokernels. SODA: Symposium on Discrete Algorithms 1011–1020.
View
 
[213]
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.
View | Files available | DOI
 
[212]
2009 | Book Chapter | IST-REx-ID: 3578
Attali D, Boissonnat J, Edelsbrunner H. 2009. Stability and computation of medial axes: a state-of-the-art report. Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. , Mathematics and Visualization, 109–125.
View | DOI | Download (ext.)
 
[211]
2008 | Book Chapter | IST-REx-ID: 3969
Edelsbrunner H, Harer J. 2008. Persistent homology - a survey. Surveys on Discrete and Computational Geometry: Twenty Years Later. , Contemporary Mathematics, 257–282.
View
 
[210]
2008 | Journal Article | IST-REx-ID: 3970
Dequéant M, Ahnert S, Edelsbrunner H, Fink T, Glynn E, Hattem G, Kudlicki A, Mileyko Y, Morton J, Mushegian A, Pachter L, Rowicka M, Shiu A, Sturmfels B, Pourquie O. 2008. Comparison of pattern detection methods in microarray time series of the segmentation clock. PLoS One. 3(8).
View | DOI
 
[209]
2008 | Journal Article | IST-REx-ID: 3971
Edelsbrunner H, Harer J, Mascarenhas A, Pascucci V, Snoeyink J. 2008. Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications. 41(3), 149–166.
View | DOI
 
[208]
2008 | Conference Paper | IST-REx-ID: 3974
Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. SCG: Symposium on Computational Geometry 242–250.
View | DOI
 
[207]
2008 | Book Chapter | IST-REx-ID: 3577
Biasotti S, Attali D, Boissonnat J, Edelsbrunner H, Elber G, Mortara M, Sanniti Di Baja G, Spagnuolo M, Tanase M, Veltkam R. 2008. Skeletal structures. Shape Analysis and Structuring. , Mathematics and Visualization, 145–183.
View | DOI
 
[206]
2007 | Journal Article | IST-REx-ID: 3972
Cohen Steiner D, Edelsbrunner H, Harer J. 2007. Stability of persistence diagrams. Discrete & Computational Geometry. 37(1), 103–120.
View | DOI
 
[205]
2007 | Journal Article | IST-REx-ID: 3973
Cohen Steiner D, Edelsbrunner H. 2007. Inequalities for the curvature of curves and surfaces. Foundations of Computational Mathematics. 7(4), 391–404.
View | DOI
 
[204]
2007 | Conference Paper | IST-REx-ID: 3975
Bendich P, Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2007. Inferring local homology from sampled stratified spaces. FOCS: Foundations of Computer Science 536–546.
View | DOI
 
[203]
2007 | Journal Article | IST-REx-ID: 3976
Headd J, Ban YEA, Brown P, Edelsbrunner H, Vaidya M, Rudolph J. 2007. Protein-protein interfaces: Properties, preferences, and projections. Journal of Proteome Research. 6(7), 2576–2586.
View | DOI
 
[202]
2007 | Journal Article | IST-REx-ID: 3977
Attali D, Edelsbrunner H. 2007. Inclusion-exclusion formulas from independent complexes. Discrete & Computational Geometry. 37(1), 59–77.
View | DOI
 
[201]
2007 | Conference Paper | IST-REx-ID: 3981
Attali D, Edelsbrunner H, Harer J, Mileyko Y. 2007. Alpha-beta witness complexes. WADS: International Workshop on Algrithms and Data Structures, LNCS, vol. 4619. 386–397.
View | DOI
 
[200]
2007 | Conference Paper | IST-REx-ID: 3561 | OA
Attali D, Edelsbrunner H, Mileyko Y. 2007. Weak witnesses for Delaunay triangulations of submanifolds. SPM: Symposium on Solid and Physical Modeling 143–150.
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[199]
2006 | Journal Article | IST-REx-ID: 3978
Ban Y, Rudolph J, Zhou P, Edelsbrunner H. 2006. Evaluating the quality of NMR structures by local density of protons. Proteins: Structure, Function and Bioinformatics. 62(4), 852–864.
View | DOI
 
[198]
2006 | Journal Article | IST-REx-ID: 3979
Ban Y, Edelsbrunner H, Rudolph J. 2006. Interface surfaces for protein-protein complexes. Journal of the ACM. 53(3), 361–378.
View | DOI
 
[197]
2006 | Journal Article | IST-REx-ID: 3980
Agarwal P, Edelsbrunner H, Harer J, Wang Y. 2006. Extreme elevation on a 2-manifold. Discrete & Computational Geometry. 36(4), 553–572.
View | DOI
 
[196]
2006 | Patent | IST-REx-ID: 3510
Edelsbrunner H, Fu P, Nekhayev D, Facello M, Williams S. 2006. Method, apparatus and computer program products for automatically generating NURBS models of triangulated surfaces using homeomorphism.
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[195]
2006 | Patent | IST-REx-ID: 3511
Fu P, Nekhayev D, Edelsbrunner H. 2006. Manufacturing methods and systems for rapid production of hearing-aid shells.
View | DOI | Download (ext.)
 
[194]
2006 | Patent | IST-REx-ID: 3512
Fletcher Y, Gloth T, Edelsbrunner H, Fu P. 2006. Method, apparatus and computer products that reconstruct surfaces from data points.
View | DOI | Download (ext.)
 
[193]
2006 | Conference Paper | IST-REx-ID: 3559
Cohen Steiner D, Edelsbrunner H, Morozov D. 2006. Vines and vineyards by updating persistence in linear time. SCG: Symposium on Computational Geometry 119–126.
View | DOI
 
[192]
2006 | Conference Paper | IST-REx-ID: 3560
Edelsbrunner H, Morozov D, Pascucci V. 2006. Persistence-sensitive simplification of functions on 2-manifolds. SCG: Symposium on Computational Geometry 127–134.
View | DOI | Download (ext.)
 
[191]
2005 | Conference Paper | IST-REx-ID: 3982
Wang Y, Agarwal P, Brown P, Edelsbrunner H, Rudolph J. 2005. Coarse and reliable geometric alignment for protein docking. PSB: Pacific Symposium on Biocomputing 64–75.
View | DOI
 
[190]
2005 | Journal Article | IST-REx-ID: 3983
Sohn J, Parks J, Buhrman G, Brown P, Kristjánsdóttir K, Safi A, Edelsbrunner H, Yang W, Rudolph J. 2005. Experimental validation of the docking orientation of Cdc25 with its Cdk2-CycA protein substrate. Biochemistry. 44(50), 16563–16573.
View | DOI
 
[189]
2005 | Patent | IST-REx-ID: 3509
Williams S, Edelsbrunner H, Fu P. 2005. Methods, apparatus and computer program products for modeling three-dimensional colored objects.
View | DOI | Download (ext.)
 
[188]
2005 | Conference Paper | IST-REx-ID: 3557
Edelsbrunner H. 2005. Surface tiling with differential topology. SGP: Eurographics Symposium on Geometry processing 9–11.
View | DOI | Download (ext.)
 
[187]
2005 | Conference Paper | IST-REx-ID: 3558
Attali D, Cohen Steiner D, Edelsbrunner H. 2005. Extraction and simplification of iso-surfaces in tandem. SGP: Eurographics Symposium on Geometry processing 139–148.
View | Download (ext.)
 
[186]
2005 | Book Chapter | IST-REx-ID: 3576
Edelsbrunner H, Koehl P. 2005. The geometry of biomolecular solvation. Combinatorial and Computational Geometry. , Mathematical Sciences Research Institute Publications, vol. 52. 243–275.
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[185]
2004 | Journal Article | IST-REx-ID: 3984
Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2004. A topological hierarchy for functions on triangulated surfaces. IEEE Transactions on Visualization and Computer Graphics. 10(4), 385–396.
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[184]
2004 | Journal Article | IST-REx-ID: 3985
Cole Mclaughlin K, Edelsbrunner H, Harer J, Natarajan V, Pascucci V. 2004. Loops in Reeb graphs of 2-manifolds. Discrete & Computational Geometry. 32(2), 231–244.
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[183]
2004 | Journal Article | IST-REx-ID: 3986
Bryant R, Edelsbrunner H, Koehl P, Levitt M. 2004. The area derivative of a space-filling diagram. Discrete & Computational Geometry. 32(3), 293–308.
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[182]
2004 | Journal Article | IST-REx-ID: 3987
Natarajan V, Edelsbrunner H. 2004. Simplification of three-dimensional density maps. IEEE Transactions on Visualization and Computer Graphics. 10(5), 587–597.
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[181]
2004 | Conference Paper | IST-REx-ID: 3988
Choi V, Agarwal P, Edelsbrunner H, Rudolph J. 2004. Local search heuristic for rigid protein docking. WABI: 4th International Workshop on Algorithms in Bioinformatics, LNCS, vol. 3240. 218–229.
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