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

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

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

P. Koehl, A. Akopyan, and H. Edelsbrunner, “Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives,” Journal of Chemical Information and Modeling, vol. 63, no. 3. American Chemical Society, pp. 973–985, 2023.
LibreCat: https://research-explorer.ista.ac.at/record/12544
DOI: 10.1021/acs.jcim.2c01346
WoS: 000920370700001
PMID: 36638318

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

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

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

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

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

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

H. Edelsbrunner, A. Nikitenko, and G. F. Osang, “A step in the Delaunay mosaic of order k,” Journal of Geometry, vol. 112, no. 1. Springer Nature, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/9465
DOI: 10.1007/s00022-021-00577-4

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

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

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

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

G. F. Osang, H. Edelsbrunner, and M. Saadatfar, “Topological signatures and stability of hexagonal close packing and Barlow stackings,” Soft Matter, vol. 17, no. 40. Royal Society of Chemistry , pp. 9107–9115, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10204
DOI: 10.1039/d1sm00774b
WoS: 000700090000001
PMID: 34569592

H. Edelsbrunner, A. Nikitenko, K. Ölsböck, and P. Synak, “Radius functions on Poisson–Delaunay mosaics and related complexes experimentally,” in Topological Data Analysis, 2020, vol. 15, pp. 181–218.
LibreCat: https://research-explorer.ista.ac.at/record/8135
DOI: 10.1007/978-3-030-43408-3_8

H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information space,” Journal of Computational Geometry, vol. 11, no. 2. Carleton University, pp. 162–182, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9630
DOI: 10.20382/jocg.v11i2a7

H. Edelsbrunner and A. Nikitenko, “Weighted Poisson–Delaunay mosaics,” Theory of Probability and its Applications, vol. 64, no. 4. SIAM, pp. 595–614, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/7554
DOI: 10.1137/S0040585X97T989726
WoS: 000551393100007
arXiv: 1705.08735

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

A. Akopyan and H. Edelsbrunner, “The weighted mean curvature derivative of a space-filling diagram,” Computational and Mathematical Biophysics, vol. 8, no. 1. De Gruyter, pp. 51–67, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9157
DOI: 10.1515/cmb-2020-0100

A. Akopyan and H. Edelsbrunner, “The weighted Gaussian curvature derivative of a space-filling diagram,” Computational and Mathematical Biophysics, vol. 8, no. 1. De Gruyter, pp. 74–88, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/9156
DOI: 10.1515/cmb-2020-0101
arXiv: 1908.06777

U. Bauer, H. Edelsbrunner, G. Jablonski, and M. Mrozek, “cech-Delaunay gradient flow and homology inference for self-maps,” Journal of Applied and Computational Topology, vol. 4, no. 4. Springer Nature, pp. 455–480, 2020.
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

H. Edelsbrunner, Z. Virk, and H. Wagner, “Topological data analysis in information space,” in 35th International Symposium on Computational Geometry, Portland, OR, United States, 2019, vol. 129, p. 31:1-31:14.
LibreCat: https://research-explorer.ista.ac.at/record/6648
DOI: 10.4230/LIPICS.SOCG.2019.31
arXiv: 1903.08510

P. Pranav et al., “Unexpected topology of the temperature fluctuations in the cosmic microwave background,” Astronomy and Astrophysics, vol. 627. EDP Sciences, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

H. Edelsbrunner and A. Nikitenko, “Poisson–Delaunay Mosaics of Order k,” Discrete and Computational Geometry, vol. 62, no. 4. Springer, pp. 865–878, 2019.
LibreCat: https://research-explorer.ista.ac.at/record/5678
DOI: 10.1007/s00454-018-0049-2
WoS: 000494042900008
arXiv: 1709.09380

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

H. Edelsbrunner, Z. Virk, and H. Wagner, “Smallest enclosing spheres and Chernoff points in Bregman geometry,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99, p. 35:1-35:13.
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

H. Edelsbrunner and G. F. Osang, “The multi-cover persistence of Euclidean balls,” presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary, 2018, vol. 99.
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

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

H. Edelsbrunner and M. Iglesias Ham, “On the optimality of the FCC lattice for soft sphere packing,” SIAM J Discrete Math, vol. 32, no. 1. Society for Industrial and Applied Mathematics , pp. 750–782, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

H. Edelsbrunner and A. Nikitenko, “Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics,” Annals of Applied Probability, vol. 28, no. 5. Institute of Mathematical Statistics, pp. 3215–3238, 2018.
LibreCat: https://research-explorer.ista.ac.at/record/87
DOI: 10.1214/18-AAP1389
WoS: 000442893500018
arXiv: 1705.02870

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

H. Edelsbrunner, A. Nikitenko, and M. Reitzner, “Expected sizes of poisson Delaunay mosaics and their discrete Morse functions,” Advances in Applied Probability, vol. 49, no. 3. Cambridge University Press, pp. 745–767, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/718
DOI: 10.1017/apr.2017.20
arXiv: 1607.05915

H. Edelsbrunner, A. Glazyrin, O. Musin, and A. Nikitenko, “The Voronoi functional is maximized by the Delaunay triangulation in the plane,” Combinatorica, vol. 37, no. 5. Springer, pp. 887–910, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1173
DOI: 10.1007/s00493-016-3308-y
WoS: 000418056000005

U. Bauer and H. Edelsbrunner, “The Morse theory of cech and delaunay complexes,” Transactions of the American Mathematical Society, vol. 369, no. 5. American Mathematical Society, pp. 3741–3762, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1072
DOI: 10.1090/tran/6991
WoS: 000398030400024
arXiv: 1312.1231

P. Pranav et al., “The topology of the cosmic web in terms of persistent Betti numbers,” Monthly Notices of the Royal Astronomical Society, vol. 465, no. 4. Oxford University Press, pp. 4281–4310, 2017.
LibreCat: https://research-explorer.ista.ac.at/record/1022
DOI: 10.1093/mnras/stw2862
WoS: 000395170200039

H. Edelsbrunner and P. Koehl, “Computational topology for structural molecular biology,” in Handbook of Discrete and Computational Geometry, Third Edition, C. Toth, J. O’Rourke, and J. Goodman, Eds. Taylor &; Francis, 2017, pp. 1709–1735.
LibreCat: https://research-explorer.ista.ac.at/record/84
DOI: 10.1201/9781315119601

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

O. Dunaeva et al., “The classification of endoscopy images with persistent homology,” Pattern Recognition Letters, vol. 83, no. 1. Elsevier, pp. 13–22, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1289
DOI: 10.1016/j.patrec.2015.12.012

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

H. Edelsbrunner, M. Iglesias Ham, and V. Kurlin, “Relaxed disk packing,” in Proceedings of the 27th Canadian Conference on Computational Geometry, Ontario, Canada, 2015, vol. 2015–August, pp. 128–135.
LibreCat: https://research-explorer.ista.ac.at/record/1495

O. Dunaeva, H. Edelsbrunner, A. Lukyanov, M. Machin, and D. Malkova, “The classification of endoscopy images with persistent homology,” in Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, Timisoara, Romania, 2015, p. 7034731.
LibreCat: https://research-explorer.ista.ac.at/record/1568
DOI: 10.1109/SYNASC.2014.81

H. Edelsbrunner, “Shape, homology, persistence, and stability,” in 23rd International Symposium, Los Angeles, CA, United States, 2015, vol. 9411.
LibreCat: https://research-explorer.ista.ac.at/record/1567

T. Cao, H. Edelsbrunner, and T. Tan, “Triangulations from topologically correct digital Voronoi diagrams,” Computational Geometry, vol. 48, no. 7. Elsevier, pp. 507–519, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1578
DOI: 10.1016/j.comgeo.2015.04.001

H. Edelsbrunner, G. Jablonski, and M. Mrozek, “The persistent homology of a self-map,” Foundations of Computational Mathematics, vol. 15, no. 5. Springer, pp. 1213–1244, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/2035
DOI: 10.1007/s10208-014-9223-y

O. Symonova, C. Topp, and H. Edelsbrunner, “DynamicRoots: A software platform for the reconstruction and analysis of growing plant roots,” PLoS One, vol. 10, no. 6. Public Library of Science, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1793
DOI: 10.1371/journal.pone.0127657

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

N. Dolbilin, H. Edelsbrunner, A. Glazyrin, and O. Musin, “Functionals on triangulations of delaunay sets,” Moscow Mathematical Journal, vol. 14, no. 3. Independent University of Moscow, pp. 491–504, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/1876
DOI: 10.17323/1609-4514-2014-14-3-491-504
arXiv: 1211.7053

V. V. Alexeev, V. G. Bogaevskaya, M. M. Preobrazhenskaya, A. Y. Ukhalov, H. Edelsbrunner, and O. Yakimova, “An algorithm for cartographic generalization that preserves global topology,” Journal of Mathematical Sciences, vol. 203, no. 6. Springer, pp. 754–760, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/1929
DOI: 10.1007/s10958-014-2165-8

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

H. Edelsbrunner and S. Parsa, “On the computational complexity of betti numbers reductions from matrix rank,” in Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, Portland, USA, 2014, pp. 152–160.
LibreCat: https://research-explorer.ista.ac.at/record/2177
DOI: 10.1137/1.9781611973402.11

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

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

H. Edelsbrunner and F. Pausinger, “Stable length estimates of tube-like shapes,” Journal of Mathematical Imaging and Vision, vol. 50, no. 1. Springer, pp. 164–177, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/2255
DOI: 10.1007/s10851-013-0468-x

C. Topp et al., “D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture,” PNAS, vol. 110, no. 18. National Academy of Sciences, pp. 95–04, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2822
DOI: 10.1073/pnas.1304354110
PMID: 25673779

H. Edelsbrunner and F. Pausinger, “Stable length estimates of tube-like shapes,” in 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Seville, Spain, 2013, vol. 7749, pp. XV–XIX.
LibreCat: https://research-explorer.ista.ac.at/record/2843
DOI: 10.1007/978-3-642-37067-0

P. Bendich, H. Edelsbrunner, D. Morozov, and A. Patel, “Homology and robustness of level and interlevel sets,” Homology, Homotopy and Applications, vol. 15, no. 1. International Press, pp. 51–72, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2859
DOI: 10.4310/HHA.2013.v15.n1.a3
arXiv: 1102.3389

S. Fang et al., “Genotypic recognition and spatial responses by rice roots,” PNAS, vol. 110, no. 7. National Academy of Sciences, pp. 2670–2675, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2887
DOI: 10.1073/pnas.1222821110
PMID: 23362379

M. Kerber and H. Edelsbrunner, “D kinetic alpha complexes and their implementation,” in 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, New Orleans, LA, United States, 2013, pp. 70–77.
LibreCat: https://research-explorer.ista.ac.at/record/2906
DOI: 10.1137/1.9781611972931.6

H. Edelsbrunner, B. T. Fasy, and G. Rote, “Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions,” Discrete &; Computational Geometry, vol. 49, no. 4. Springer, pp. 797–822, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

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

H. Edelsbrunner and N. Strelkova, “On the configuration space of Steiner minimal trees,” Russian Mathematical Surveys, vol. 67, no. 6. IOP Publishing Ltd., pp. 1167–1168, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2849
DOI: 10.1070/RM2012v067n06ABEH004820

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

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

N. Dolbilin, H. Edelsbrunner, and O. Musin, “On the optimality of functionals over triangulations of Delaunay sets,” Russian Mathematical Surveys, vol. 67, no. 4. IOP Publishing, pp. 781–783, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2941
DOI: 10.1070/RM2012v067n04ABEH004807

H. Edelsbrunner and M. Kerber, “Alexander duality for functions: The persistent behavior of land and water and shore,” in Proceedings of the twenty-eighth annual symposium on Computational geometry , Chapel Hill, NC, USA, 2012, pp. 249–258.
LibreCat: https://research-explorer.ista.ac.at/record/3133
DOI: 10.1145/2261250.2261287

H. Edelsbrunner, B. Fasy, and G. Rote, “Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions,” in Proceedings of the twenty-eighth annual symposium on Computational geometry , Chapel Hill, NC, USA, 2012, pp. 91–100.
LibreCat: https://research-explorer.ista.ac.at/record/3134
DOI: 10.1145/2261250.2261265

H. Edelsbrunner and M. Kerber, “Dual complexes of cubical subdivisions of dn,” Discrete &; Computational Geometry, vol. 47, no. 2. Springer, pp. 393–414, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/3256
DOI: 10.1007/s00454-011-9382-4

Y. Mileyko, H. Edelsbrunner, C. Price, and J. Weitz, “Hierarchical ordering of reticular networks,” PLoS One, vol. 7, no. 6. Public Library of Science, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/3159
DOI: 10.1371/journal.pone.0036715

P. Bendich, S. Cabello, and H. Edelsbrunner, “A point calculus for interlevel set homology,” Pattern Recognition Letters, vol. 33, no. 11. Elsevier, pp. 1436–1444, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/3310
DOI: 10.1016/j.patrec.2011.10.007

H. Edelsbrunner and N. Strelkova, “On the configuration space for the shortest networks,” Russian Mathematical Surveys, vol. 67, no. 6. Russian Academy of Sciences, pp. 1167–1168, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2912
DOI: 10.4213/rm9503

H. Edelsbrunner et al., “Fractal and computational geometry for generalizing cartographic objects,” Modeling and Analysis of Information Systems, vol. 19, no. 6. Russian Academy of Sciences, pp. 152–160, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/2902

R. Van De Weygaert et al., “Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web,” in Transactions on Computational Science XIV, vol. 6970, M. Gavrilova, K. Tan, and M. Mostafavi, Eds. Springer, 2011, pp. 60–101.
LibreCat: https://research-explorer.ista.ac.at/record/3335
DOI: 10.1007/978-3-642-25249-5_3
arXiv: 1306.3640

H. Edelsbrunner, J. Pach, and G. Ziegler, “Letter from the new editors-in-chief,” Discrete &; Computational Geometry, vol. 45, no. 1. Springer, pp. 1–2, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3334
DOI: 10.1007/s00454-010-9313-9

H. Edelsbrunner and M. Kerber, “Covering and packing with spheres by diagonal distortion in R^n,” in Rainbow of Computer Science, vol. 6570, C. Calude, G. Rozenberg, and A. Salomaa, Eds. Springer, 2011, pp. 20–35.
LibreCat: https://research-explorer.ista.ac.at/record/3796
DOI: 10.1007/978-3-642-19391-0_2

B. Wang, H. Edelsbrunner, and D. Morozov, “Computing elevation maxima by searching the Gauss sphere,” Journal of Experimental Algorithmics, vol. 16, no. 2.2. ACM, pp. 1–13, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3965
DOI: 10.1145/1963190.1970375

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

C. Chen and H. Edelsbrunner, “Diffusion runs low on persistence fast,” in Proceedings of the IEEE International Conference on Computer Vision, Barcelona, Spain, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3313
DOI: 10.1109/ICCV.2011.6126271

H. Edelsbrunner, “Alpha shapes - a survey,” in Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, R. van de Weygaert, G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer.
LibreCat: https://research-explorer.ista.ac.at/record/3311

H. Edelsbrunner, D. Morozov, and A. Patel, “Quantifying transversality by measuring the robustness of intersections,” Foundations of Computational Mathematics, vol. 11, no. 3. Springer, pp. 345–361, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3377
DOI: 10.1007/s10208-011-9090-8

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

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

H. Edelsbrunner and J. Harer, Computational Topology: An Introduction, vol. 69. American Mathematical Society, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/3899
DOI: 10.1090/mbk/069

D. Cohen Steiner, H. Edelsbrunner, J. Harer, and Y. Mileyko, “Lipschitz functions have L_p-stable persistence,” Foundations of Computational Mathematics, vol. 10, no. 2. Springer, pp. 127–139, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/3964
DOI: 10.1007/s10208-010-9060-6

K. Chatterjee, L. Doyen, H. Edelsbrunner, T. A. Henzinger, and P. Rannou, “Mean-payoff automaton expressions,” presented at the CONCUR: Concurrency Theory, Paris, France, 2010, vol. 6269, pp. 269–283.
LibreCat: https://research-explorer.ista.ac.at/record/3853
DOI: 10.1007/978-3-642-15375-4_19

P. Bendich, H. Edelsbrunner, M. Kerber, and A. Patel, “Persistent homology under non-uniform error,” presented at the MFCS: Mathematical Foundations of Computer Science, Brno, Czech Republic, 2010, vol. 6281, pp. 12–23.
LibreCat: https://research-explorer.ista.ac.at/record/3849
DOI: 10.1007/978-3-642-15155-2_2

P. Bendich, H. Edelsbrunner, and M. Kerber, “Computing robustness and persistence for images,” IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6. IEEE, pp. 1251–1260, 2010.
LibreCat: https://research-explorer.ista.ac.at/record/3901
DOI: 10.1109/TVCG.2010.139

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

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

D. Cohen Steiner, H. Edelsbrunner, and J. Harer, “Extending persistence using Poincare and Lefschetz duality,” Foundations of Computational Mathematics, vol. 9, no. 1. Springer, pp. 79–103, 2009.
LibreCat: https://research-explorer.ista.ac.at/record/3966
DOI: 10.1007/s10208-008-9027-z

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

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

S. Biasotti et al., “Skeletal structures,” in Shape Analysis and Structuring, Springer, 2008, pp. 145–183.
LibreCat: https://research-explorer.ista.ac.at/record/3577
DOI: 10.1007/978-3-540-33265-7_5

M. Dequéant et al., “Comparison of pattern detection methods in microarray time series of the segmentation clock,” PLoS One, vol. 3, no. 8. Public Library of Science, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/3970
DOI: 10.1371/journal.pone.0002856

H. Edelsbrunner, J. Harer, A. Mascarenhas, V. Pascucci, and J. Snoeyink, “Time-varying Reeb graphs for continuous space-time data,” Computational Geometry: Theory and Applications, vol. 41, no. 3. Elsevier, pp. 149–166, 2008.
LibreCat: https://research-explorer.ista.ac.at/record/3971
DOI: 10.1016/j.comgeo.2007.11.001

H. Edelsbrunner and J. Harer, “Persistent homology - a survey,” in Surveys on Discrete and Computational Geometry: Twenty Years Later, American Mathematical Society, 2008, pp. 257–282.
LibreCat: https://research-explorer.ista.ac.at/record/3969

J. Headd, Y. E. A. Ban, P. Brown, H. Edelsbrunner, M. Vaidya, and J. Rudolph, “Protein-protein interfaces: Properties, preferences, and projections,” Journal of Proteome Research, vol. 6, no. 7. American Chemical Society, pp. 2576–2586, 2007.
LibreCat: https://research-explorer.ista.ac.at/record/3976
DOI: 10.1021/pr070018+

D. Attali, H. Edelsbrunner, J. Harer, and Y. Mileyko, “Alpha-beta witness complexes,” presented at the WADS: International Workshop on Algrithms and Data Structures, 2007, vol. 4619, pp. 386–397.
LibreCat: https://research-explorer.ista.ac.at/record/3981
DOI: 10.1007/978-3-540-73951-7_34

P. Bendich, D. Cohen Steiner, H. Edelsbrunner, J. Harer, and D. Morozov, “Inferring local homology from sampled stratified spaces,” presented at the FOCS: Foundations of Computer Science, 2007, pp. 536–546.
LibreCat: https://research-explorer.ista.ac.at/record/3975
DOI: 10.1109/FOCS.2007.33