Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. 2024. Dynamically maintaining the persistent homology of time series. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). SODA: Symposium on Discrete Algorigthms, 243–295.
LibreCat: https://research-explorer.ista.ac.at/record/15093
DOI: 10.1137/1.9781611977912.11
arXiv: 2311.01115

Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. Chromatic alpha complexes. arXiv, 2212.03128.
LibreCat: https://research-explorer.ista.ac.at/record/15091
arXiv: 2212.03128

Edelsbrunner H, Osang GF. 2023. A simple algorithm for higher-order Delaunay mosaics and alpha shapes. Algorithmica. 85, 277–295.
LibreCat: https://research-explorer.ista.ac.at/record/12086
DOI: 10.1007/s00453-022-01027-6
WoS: 000846967100001

Koehl P, Akopyan A, Edelsbrunner H. 2023. Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. 63(3), 973–985.
LibreCat: https://research-explorer.ista.ac.at/record/12544
DOI: 10.1021/acs.jcim.2c01346
WoS: 000920370700001
PMID: 36638318

Edelsbrunner H, Garber A, Ghafari M, Heiss T, Saghafian M. 2023. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry.
LibreCat: https://research-explorer.ista.ac.at/record/14345
DOI: 10.1007/s00454-023-00566-1
WoS: 001060727600004
arXiv: 2204.01076

Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2023. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology.
LibreCat: https://research-explorer.ista.ac.at/record/13182
DOI: 10.1007/s41468-023-00126-9

Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2022. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 67, 811–842.
LibreCat: https://research-explorer.ista.ac.at/record/10773
DOI: 10.1007/s00454-022-00371-2
WoS: 000752175300002

Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs. LIPIcs.
LibreCat: https://research-explorer.ista.ac.at/record/11660

Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Depth in arrangements: Dehn–Sommerville–Euler relations with applications. Leibniz International Proceedings on Mathematics.
LibreCat: https://research-explorer.ista.ac.at/record/11658

Biswas R, Cultrera di Montesano S, Draganov O, Edelsbrunner H, Saghafian M. On the size of chromatic Delaunay mosaics. arXiv, 2212.03121.
LibreCat: https://research-explorer.ista.ac.at/record/15090
arXiv: 2212.03121

Edelsbrunner H, Nikitenko A, Osang GF. 2021. A step in the Delaunay mosaic of order k. Journal of Geometry. 112(1), 15.
LibreCat: https://research-explorer.ista.ac.at/record/9465
DOI: 10.1007/s00022-021-00577-4

Edelsbrunner H, Heiss T,  Kurlin  V, Smith P, Wintraecken M. 2021. The density fingerprint of a periodic point set. 37th International Symposium on Computational Geometry (SoCG 2021). SoCG: Symposium on Computational Geometry, LIPIcs, vol. 189, 32:1-32:16.
LibreCat: https://research-explorer.ista.ac.at/record/9345
DOI: 10.4230/LIPIcs.SoCG.2021.32

Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting cells of order-k voronoi tessellations in d<sup>3</sup> with morse theory. Leibniz International Proceedings in Informatics. SoCG: International Symposium on Computational Geometry, LIPIcs, vol. 189, 16.
LibreCat: https://research-explorer.ista.ac.at/record/9604
DOI: 10.4230/LIPIcs.SoCG.2021.16

Edelsbrunner H, Osang GF. 2021. The multi-cover persistence of Euclidean balls. Discrete and Computational Geometry. 65, 1296–1313.
LibreCat: https://research-explorer.ista.ac.at/record/9317
DOI: 10.1007/s00454-021-00281-9
WoS: 000635460400001

Akopyan A, Edelsbrunner H, Nikitenko A. 2021. The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics., 1–15.
LibreCat: https://research-explorer.ista.ac.at/record/10222
DOI: 10.1080/10586458.2021.1980459
WoS: 000710893500001
arXiv: 2007.07783

Osang GF, Edelsbrunner H, Saadatfar M. 2021. Topological signatures and stability of hexagonal close packing and Barlow stackings. Soft Matter. 17(40), 9107–9115.
LibreCat: https://research-explorer.ista.ac.at/record/10204
DOI: 10.1039/d1sm00774b
WoS: 000700090000001
PMID: 34569592

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.
LibreCat: https://research-explorer.ista.ac.at/record/8135
DOI: 10.1007/978-3-030-43408-3_8

Edelsbrunner H, Virk Z, Wagner H. 2020. Topological data analysis in information space. Journal of Computational Geometry. 11(2), 162–182.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

Edelsbrunner H, Nikitenko A. 2020. Weighted Poisson–Delaunay mosaics. Theory of Probability and its Applications. 64(4), 595–614.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

Edelsbrunner H, Ölsböck K. 2020. Tri-partitions and bases of an ordered complex. Discrete and Computational Geometry. 64, 759–775.
LibreCat: https://research-explorer.ista.ac.at/record/7666
DOI: 10.1007/s00454-020-00188-x
WoS: 000520918800001

Akopyan A, Edelsbrunner H. 2020. The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 8(1), 51–67.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

Akopyan A, Edelsbrunner H. 2020. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 8(1), 74–88.
LibreCat: https://research-explorer.ista.ac.at/record/9156
DOI: 10.1515/cmb-2020-0101
arXiv: 1908.06777

Bauer U, Edelsbrunner H, Jablonski G, Mrozek M. 2020. cech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 4(4), 455–480.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

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.
LibreCat: https://research-explorer.ista.ac.at/record/6648
DOI: 10.4230/LIPICS.SOCG.2019.31
arXiv: 1903.08510

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, 3.
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

Edelsbrunner H, Nikitenko A. 2019. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 62(4), 865–878.
LibreCat: https://research-explorer.ista.ac.at/record/5678
DOI: 10.1007/s00454-018-0049-2
WoS: 000494042900008
arXiv: 1709.09380

Edelsbrunner H, Ölsböck K. 2019. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 73, 1–15.
LibreCat: https://research-explorer.ista.ac.at/record/6608
DOI: 10.1016/j.cagd.2019.06.003
WoS: 000485207800001

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.
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

Edelsbrunner H, Osang GF. 2018. The multi-cover persistence of Euclidean balls. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99, 34.
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

Edelsbrunner H, Iglesias Ham M. 2018. Multiple covers with balls I: Inclusion–exclusion. Computational Geometry: Theory and Applications. 68, 119–133.
LibreCat: https://research-explorer.ista.ac.at/record/530
DOI: 10.1016/j.comgeo.2017.06.014
WoS: 000415778300010

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.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

Edelsbrunner H, Nikitenko A. 2018. Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. 28(5), 3215–3238.
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

Edelsbrunner H, Wagner H. 2017. Topological data analysis with Bregman divergences. Symposium on Computational Geometry, SoCG, LIPIcs, vol. 77, 391–3916.
LibreCat: https://research-explorer.ista.ac.at/record/688
DOI: 10.4230/LIPIcs.SoCG.2017.39

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.
LibreCat: https://research-explorer.ista.ac.at/record/718
DOI: 10.1017/apr.2017.20
arXiv: 1607.05915

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.
LibreCat: https://research-explorer.ista.ac.at/record/1173
DOI: 10.1007/s00493-016-3308-y
WoS: 000418056000005

Bauer U, Edelsbrunner H. 2017. The Morse theory of cech and delaunay complexes. Transactions of the American Mathematical Society. 369(5), 3741–3762.
LibreCat: https://research-explorer.ista.ac.at/record/1072
DOI: 10.1090/tran/6991
WoS: 000398030400024
arXiv: 1312.1231

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.
LibreCat: https://research-explorer.ista.ac.at/record/1022
DOI: 10.1093/mnras/stw2862
WoS: 000395170200039

Edelsbrunner H, Koehl P. 2017.Computational topology for structural molecular biology. In: Handbook of Discrete and Computational Geometry, Third Edition. , 1709–1735.
LibreCat: https://research-explorer.ista.ac.at/record/84
DOI: 10.1201/9781315119601

Edelsbrunner H, Iglesias Ham M. 2016. Multiple covers with balls II: Weighted averages. Electronic Notes in Discrete Mathematics. 54, 169–174.
LibreCat: https://research-explorer.ista.ac.at/record/1295
DOI: 10.1016/j.endm.2016.09.030

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.
LibreCat: https://research-explorer.ista.ac.at/record/1289
DOI: 10.1016/j.patrec.2015.12.012

Edelsbrunner H, Pausinger F. 2016. Approximation and convergence of the intrinsic volume. Advances in Mathematics. 287, 674–703.
LibreCat: https://research-explorer.ista.ac.at/record/1662
DOI: 10.1016/j.aim.2015.10.004

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.
LibreCat: https://research-explorer.ista.ac.at/record/1495

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.
LibreCat: https://research-explorer.ista.ac.at/record/1568
DOI: 10.1109/SYNASC.2014.81

Edelsbrunner H. 2015. Shape, homology, persistence, and stability. 23rd International Symposium. GD: Graph Drawing and Network Visualization, LNCS, vol. 9411.
LibreCat: https://research-explorer.ista.ac.at/record/1567

Cao T, Edelsbrunner H, Tan T. 2015. Triangulations from topologically correct digital Voronoi diagrams. Computational Geometry. 48(7), 507–519.
LibreCat: https://research-explorer.ista.ac.at/record/1578
DOI: 10.1016/j.comgeo.2015.04.001

Edelsbrunner H, Jablonski G, Mrozek M. 2015. The persistent homology of a self-map. Foundations of Computational Mathematics. 15(5), 1213–1244.
LibreCat: https://research-explorer.ista.ac.at/record/2035
DOI: 10.1007/s10208-014-9223-y

Symonova O, Topp C, Edelsbrunner H. 2015. DynamicRoots: A software platform for the reconstruction and analysis of growing plant roots. PLoS One. 10(6), e0127657.
LibreCat: https://research-explorer.ista.ac.at/record/1793
DOI: 10.1371/journal.pone.0127657

Symonova O, Topp C, Edelsbrunner H. 2015. Root traits computed by DynamicRoots for the maize root shown in fig 2, Public Library of Science,10.1371/journal.pone.0127657.s001 .
LibreCat: https://research-explorer.ista.ac.at/record/9737
DOI: 10.1371/journal.pone.0127657.s001

Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. 2014. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 14(3), 491–504.
LibreCat: https://research-explorer.ista.ac.at/record/1876
DOI: 10.17323/1609-4514-2014-14-3-491-504
arXiv: 1211.7053

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. 203(6), 754–760.
LibreCat: https://research-explorer.ista.ac.at/record/1929
DOI: 10.1007/s10958-014-2165-8

Bauer U, Edelsbrunner H. 2014. The morse theory of cech and Delaunay filtrations. Proceedings of the Annual Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry, 484–490.
LibreCat: https://research-explorer.ista.ac.at/record/2155
DOI: 10.1145/2582112.2582167

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.
LibreCat: https://research-explorer.ista.ac.at/record/2177
DOI: 10.1137/1.9781611973402.11

Edelsbrunner H, Morozovy D. 2014. Persistent homology: Theory and practice. ECM: European Congress of Mathematics, 31–50.
LibreCat: https://research-explorer.ista.ac.at/record/2905
DOI: 10.4171/120-1/3

Edelsbrunner H. 2014. A Short Course in Computational Geometry and Topology 1st ed., Cham: Springer Nature, IX, 110p.
LibreCat: https://research-explorer.ista.ac.at/record/6853
DOI: 10.1007/978-3-319-05957-0

Edelsbrunner H, Pausinger F. 2014. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 50(1), 164–177.
LibreCat: https://research-explorer.ista.ac.at/record/2255
DOI: 10.1007/s10851-013-0468-x

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), 95–04.
LibreCat: https://research-explorer.ista.ac.at/record/2822
DOI: 10.1073/pnas.1304354110
PMID: 25673779

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.
LibreCat: https://research-explorer.ista.ac.at/record/2843
DOI: 10.1007/978-3-642-37067-0

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.
LibreCat: https://research-explorer.ista.ac.at/record/2859
DOI: 10.4310/HHA.2013.v15.n1.a3
arXiv: 1102.3389

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.
LibreCat: https://research-explorer.ista.ac.at/record/2887
DOI: 10.1073/pnas.1222821110
PMID: 23362379

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.
LibreCat: https://research-explorer.ista.ac.at/record/2906
DOI: 10.1137/1.9781611972931.6

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.
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

Edelsbrunner H. 2013. Persistent homology in image processing. Graph-Based Representations in Pattern Recognition. GbRPR: Graph-based Representations in Pattern RecognitionLNCS vol. 7877, 182–183.
LibreCat: https://research-explorer.ista.ac.at/record/10897
DOI: 10.1007/978-3-642-38221-5_19

Edelsbrunner H, Strelkova N. 2012. On the configuration space of Steiner minimal trees. Russian Mathematical Surveys. 67(6), 1167–1168.
LibreCat: https://research-explorer.ista.ac.at/record/2849
DOI: 10.1070/RM2012v067n06ABEH004820

Edelsbrunner H, Symonova O. 2012. The adaptive topology of a digital image. ISVD: International Symposium on Voronoi Diagrams in Science and Engineering, 41–48.
LibreCat: https://research-explorer.ista.ac.at/record/2903
DOI: 10.1109/ISVD.2012.11

Edelsbrunner H, Ivanov A, Karasev R. 2012. Open problems in discrete and computational geometry. Automatic Control and Computer Sciences. in print.
LibreCat: https://research-explorer.ista.ac.at/record/2911

Dolbilin N, Edelsbrunner H, Musin O. 2012. On the optimality of functionals over triangulations of Delaunay sets. Russian Mathematical Surveys. 67(4), 781–783.
LibreCat: https://research-explorer.ista.ac.at/record/2941
DOI: 10.1070/RM2012v067n04ABEH004807

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.
LibreCat: https://research-explorer.ista.ac.at/record/3133
DOI: 10.1145/2261250.2261287

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.
LibreCat: https://research-explorer.ista.ac.at/record/3134
DOI: 10.1145/2261250.2261265

Edelsbrunner H, Kerber M. 2012. Dual complexes of cubical subdivisions of dn. Discrete &; Computational Geometry. 47(2), 393–414.
LibreCat: https://research-explorer.ista.ac.at/record/3256
DOI: 10.1007/s00454-011-9382-4

Mileyko Y, Edelsbrunner H, Price C, Weitz J. 2012. Hierarchical ordering of reticular networks. PLoS One. 7(6), e36715.
LibreCat: https://research-explorer.ista.ac.at/record/3159
DOI: 10.1371/journal.pone.0036715

Bendich P, Cabello S, Edelsbrunner H. 2012. A point calculus for interlevel set homology. Pattern Recognition Letters. 33(11), 1436–1444.
LibreCat: https://research-explorer.ista.ac.at/record/3310
DOI: 10.1016/j.patrec.2011.10.007

Edelsbrunner H, Strelkova N. 2012. On the configuration space for the shortest networks. Russian Mathematical Surveys. 67(6), 1167–1168.
LibreCat: https://research-explorer.ista.ac.at/record/2912
DOI: 10.4213/rm9503

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.
LibreCat: https://research-explorer.ista.ac.at/record/2902

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. In: Transactions on Computational Science XIV. LNCS, vol. 6970, 60–101.
LibreCat: https://research-explorer.ista.ac.at/record/3335
DOI: 10.1007/978-3-642-25249-5_3
arXiv: 1306.3640

Edelsbrunner H, Pach J, Ziegler G. 2011. Letter from the new editors-in-chief. Discrete &; Computational Geometry. 45(1), 1–2.
LibreCat: https://research-explorer.ista.ac.at/record/3334
DOI: 10.1007/s00454-010-9313-9

Edelsbrunner H, Kerber M. 2011.Covering and packing with spheres by diagonal distortion in R^n. In: Rainbow of Computer Science. LNCS, vol. 6570, 20–35.
LibreCat: https://research-explorer.ista.ac.at/record/3796
DOI: 10.1007/978-3-642-19391-0_2

Wang B, Edelsbrunner H, Morozov D. 2011. Computing elevation maxima by searching the Gauss sphere. Journal of Experimental Algorithmics. 16(2.2), 1–13.
LibreCat: https://research-explorer.ista.ac.at/record/3965
DOI: 10.1145/1963190.1970375

Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. 2011. Detailed reconstruction of 3D plant root shape, IEEE,p.
LibreCat: https://research-explorer.ista.ac.at/record/3312
DOI: 10.1109/ICCV.2011.6126475

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.
LibreCat: https://research-explorer.ista.ac.at/record/3313
DOI: 10.1109/ICCV.2011.6126271

Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. .
LibreCat: https://research-explorer.ista.ac.at/record/3311

Edelsbrunner H, Morozov D, Patel A. 2011. Quantifying transversality by measuring the robustness of intersections. Foundations of Computational Mathematics. 11(3), 345–361.
LibreCat: https://research-explorer.ista.ac.at/record/3377
DOI: 10.1007/s10208-011-9090-8

Edelsbrunner H, Morozov D, Patel A. 2010.The stability of the apparent contour of an orientable 2-manifold. In: Topological Data Analysis and Visualization: Theory, Algorithms and Applications. Mathematics and Visualization, , 27–42.
LibreCat: https://research-explorer.ista.ac.at/record/3795
DOI: 10.1007/978-3-642-15014-2_3

Bendich P, Edelsbrunner H, Morozov D, Patel A. 2010. The robustness of level sets. ESA: European Symposium on Algorithms, LNCS, vol. 6346, 1–10.
LibreCat: https://research-explorer.ista.ac.at/record/3848
DOI: 10.1007/978-3-642-15775-2_1

Edelsbrunner H, Harer J. 2010. Computational Topology: An Introduction, American Mathematical Society, XII, 241p.
LibreCat: https://research-explorer.ista.ac.at/record/3899
DOI: 10.1090/mbk/069

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.
LibreCat: https://research-explorer.ista.ac.at/record/3964
DOI: 10.1007/s10208-010-9060-6

Chatterjee K, Doyen L, Edelsbrunner H, Henzinger TA, Rannou P. 2010. Mean-payoff automaton expressions. CONCUR: Concurrency Theory, LNCS, vol. 6269, 269–283.
LibreCat: https://research-explorer.ista.ac.at/record/3853
DOI: 10.1007/978-3-642-15375-4_19

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.
LibreCat: https://research-explorer.ista.ac.at/record/3849
DOI: 10.1007/978-3-642-15155-2_2

Bendich P, Edelsbrunner H, Kerber M. 2010. Computing robustness and persistence for images. IEEE Transactions of Visualization and Computer Graphics. 16(6), 1251–1260.
LibreCat: https://research-explorer.ista.ac.at/record/3901
DOI: 10.1109/TVCG.2010.139

Attali D, Boissonnat J, Edelsbrunner H. 2009.Stability and computation of medial axes: a state-of-the-art report. In: Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration. Mathematics and Visualization, , 109–125.
LibreCat: https://research-explorer.ista.ac.at/record/3578
DOI: 10.1007/b106657_6

Edelsbrunner H, Harer J. 2009. The persistent Morse complex segmentation of a 3-manifold. 3DPH: Modelling the Physiological Human, LNCS, vol. 5903, 36–50.
LibreCat: https://research-explorer.ista.ac.at/record/3968
DOI: 10.1007/978-3-642-10470-1_4

Cohen Steiner D, Edelsbrunner H, Harer J. 2009. Extending persistence using Poincare and Lefschetz duality. Foundations of Computational Mathematics. 9(1), 79–103.
LibreCat: https://research-explorer.ista.ac.at/record/3966
DOI: 10.1007/s10208-008-9027-z

Cohen Steiner D, Edelsbrunner H, Harer J, Morozov D. 2009. Persistent homology for kernels, images, and cokernels. SODA: Symposium on Discrete Algorithms, 1011–1020.
LibreCat: https://research-explorer.ista.ac.at/record/3967

Edelsbrunner H, Harer J, Patel A. 2008. Reeb spaces of piecewise linear mappings. SCG: Symposium on Computational Geometry, 242–250.
LibreCat: https://research-explorer.ista.ac.at/record/3974
DOI: 10.1145/1377676.1377720

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. In: Shape Analysis and Structuring. Mathematics and Visualization, , 145–183.
LibreCat: https://research-explorer.ista.ac.at/record/3577
DOI: 10.1007/978-3-540-33265-7_5

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).
LibreCat: https://research-explorer.ista.ac.at/record/3970
DOI: 10.1371/journal.pone.0002856

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.
LibreCat: https://research-explorer.ista.ac.at/record/3971
DOI: 10.1016/j.comgeo.2007.11.001

Edelsbrunner H, Harer J. 2008.Persistent homology - a survey. In: Surveys on Discrete and Computational Geometry: Twenty Years Later. Contemporary Mathematics, , 257–282.
LibreCat: https://research-explorer.ista.ac.at/record/3969

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.
LibreCat: https://research-explorer.ista.ac.at/record/3976
DOI: 10.1021/pr070018+

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.
LibreCat: https://research-explorer.ista.ac.at/record/3981
DOI: 10.1007/978-3-540-73951-7_34

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.
LibreCat: https://research-explorer.ista.ac.at/record/3975
DOI: 10.1109/FOCS.2007.33