Cultrera di Montesano S, Edelsbrunner H, Henzinger MH, Ost L. Dynamically maintaining the persistent homology of time series. In: Woodruff DP, ed. Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA). Society for Industrial and Applied Mathematics; 2024:243-295. doi:10.1137/1.9781611977912.11
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.
LibreCat: https://research-explorer.ista.ac.at/record/15091
arXiv: 2212.03128

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

Koehl P, Akopyan A, Edelsbrunner H. Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. 2023;63(3):973-985. doi:10.1021/acs.jcim.2c01346
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. On angles in higher order Brillouin tessellations and related tilings in the plane. Discrete and Computational Geometry. 2023. doi:10.1007/s00454-023-00566-1
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. Geometric characterization of the persistence of 1D maps. Journal of Applied and Computational Topology. 2023. doi:10.1007/s41468-023-00126-9
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. Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics. Discrete and Computational Geometry. 2022;67:811-842. doi:10.1007/s00454-022-00371-2
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.
LibreCat: https://research-explorer.ista.ac.at/record/15090
arXiv: 2212.03121

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

Edelsbrunner H, Heiss T,10.4230/LIPIcs.SoCG.2021.32__Kurlin10.4230/LIPIcs.SoCG.2021.32__V, Smith P, Wintraecken M. The density fingerprint of a periodic point set. In: 37th International Symposium on Computational Geometry (SoCG 2021). Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021:32:1-32:16. doi:10.4230/LIPIcs.SoCG.2021.32
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. Counting cells of order-k voronoi tessellations in d<sup>3</sup> with morse theory. In: Leibniz International Proceedings in Informatics. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.16
LibreCat: https://research-explorer.ista.ac.at/record/9604
DOI: 10.4230/LIPIcs.SoCG.2021.16

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

Akopyan A, Edelsbrunner H, Nikitenko A. The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. 2021:1-15. doi:10.1080/10586458.2021.1980459
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. Topological signatures and stability of hexagonal close packing and Barlow stackings. Soft Matter. 2021;17(40):9107-9115. doi:10.1039/d1sm00774b
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. Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In: Topological Data Analysis. Vol 15. Springer Nature; 2020:181-218. doi:10.1007/978-3-030-43408-3_8
LibreCat: https://research-explorer.ista.ac.at/record/8135
DOI: 10.1007/978-3-030-43408-3_8

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

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

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

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

Akopyan A, Edelsbrunner H. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):74-88. doi:10.1515/cmb-2020-0101
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. cech-Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology. 2020;4(4):455-480. doi:10.1007/s41468-020-00058-8
LibreCat: https://research-explorer.ista.ac.at/record/15064
DOI: 10.1007/s41468-020-00058-8

Edelsbrunner H, Virk Z, Wagner H. Topological data analysis in information space. In: 35th International Symposium on Computational Geometry. Vol 129. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2019:31:1-31:14. doi:10.4230/LIPICS.SOCG.2019.31
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, et al. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy and Astrophysics. 2019;627. doi:10.1051/0004-6361/201834916
LibreCat: https://research-explorer.ista.ac.at/record/6756
DOI: 10.1051/0004-6361/201834916
WoS: 000475839300003
arXiv: 1812.07678

Edelsbrunner H, Nikitenko A. Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. 2019;62(4):865–878. doi:10.1007/s00454-018-0049-2
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. Holes and dependences in an ordered complex. Computer Aided Geometric Design. 2019;73:1-15. doi:10.1016/j.cagd.2019.06.003
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. Smallest enclosing spheres and Chernoff points in Bregman geometry. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018:35:1-35:13. doi:10.4230/LIPIcs.SoCG.2018.35
LibreCat: https://research-explorer.ista.ac.at/record/188
DOI: 10.4230/LIPIcs.SoCG.2018.35

Edelsbrunner H, Osang GF. The multi-cover persistence of Euclidean balls. In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.SoCG.2018.34
LibreCat: https://research-explorer.ista.ac.at/record/187
DOI: 10.4230/LIPIcs.SoCG.2018.34

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

Edelsbrunner H, Iglesias Ham M. On the optimality of the FCC lattice for soft sphere packing. SIAM J Discrete Math. 2018;32(1):750-782. doi:10.1137/16M1097201
LibreCat: https://research-explorer.ista.ac.at/record/312
DOI: 10.1137/16M1097201
WoS: 000428958900038

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

Edelsbrunner H, Wagner H. Topological data analysis with Bregman divergences. In: Vol 77. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017:391-3916. doi:10.4230/LIPIcs.SoCG.2017.39
LibreCat: https://research-explorer.ista.ac.at/record/688
DOI: 10.4230/LIPIcs.SoCG.2017.39

Edelsbrunner H, Nikitenko A, Reitzner M. Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. 2017;49(3):745-767. doi:10.1017/apr.2017.20
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. The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. 2017;37(5):887-910. doi:10.1007/s00493-016-3308-y
LibreCat: https://research-explorer.ista.ac.at/record/1173
DOI: 10.1007/s00493-016-3308-y
WoS: 000418056000005

Bauer U, Edelsbrunner H. The Morse theory of cech and delaunay complexes. Transactions of the American Mathematical Society. 2017;369(5):3741-3762. doi:10.1090/tran/6991
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, et al. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society. 2017;465(4):4281-4310. doi:10.1093/mnras/stw2862
LibreCat: https://research-explorer.ista.ac.at/record/1022
DOI: 10.1093/mnras/stw2862
WoS: 000395170200039

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

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

Dunaeva O, Edelsbrunner H, Lukyanov A, et al. The classification of endoscopy images with persistent homology. Pattern Recognition Letters. 2016;83(1):13-22. doi:10.1016/j.patrec.2015.12.012
LibreCat: https://research-explorer.ista.ac.at/record/1289
DOI: 10.1016/j.patrec.2015.12.012

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

Edelsbrunner H, Iglesias Ham M, Kurlin V. Relaxed disk packing. In: Proceedings of the 27th Canadian Conference on Computational Geometry. Vol 2015-August. Queen’s University; 2015:128-135.
LibreCat: https://research-explorer.ista.ac.at/record/1495

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

Edelsbrunner H. Shape, homology, persistence, and stability. In: 23rd International Symposium. Vol 9411. Springer Nature; 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1567

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

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

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

Symonova O, Topp C, Edelsbrunner H. Root traits computed by DynamicRoots for the maize root shown in fig 2. 2015. doi: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. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 2014;14(3):491-504. doi:10.17323/1609-4514-2014-14-3-491-504
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. An algorithm for cartographic generalization that preserves global topology. Journal of Mathematical Sciences. 2014;203(6):754-760. doi:10.1007/s10958-014-2165-8
LibreCat: https://research-explorer.ista.ac.at/record/1929
DOI: 10.1007/s10958-014-2165-8

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

Edelsbrunner H, Parsa S. On the computational complexity of betti numbers reductions from matrix rank. In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. SIAM; 2014:152-160. doi:10.1137/1.9781611973402.11
LibreCat: https://research-explorer.ista.ac.at/record/2177
DOI: 10.1137/1.9781611973402.11

Edelsbrunner H, Morozovy D. Persistent homology: Theory and practice. In: European Mathematical Society Publishing House; 2014:31-50. doi:10.4171/120-1/3
LibreCat: https://research-explorer.ista.ac.at/record/2905
DOI: 10.4171/120-1/3

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

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

Topp C, Iyer Pascuzzi A, Anderson J, et al. 3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture. PNAS. 2013;110(18):95-04. doi:10.1073/pnas.1304354110
LibreCat: https://research-explorer.ista.ac.at/record/2822
DOI: 10.1073/pnas.1304354110
PMID: 25673779

Edelsbrunner H, Pausinger F. Stable length estimates of tube-like shapes. In: 17th IAPR International Conference on Discrete Geometry for Computer Imagery. Vol 7749. Springer; 2013:XV-XIX. doi:10.1007/978-3-642-37067-0
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. Homology and robustness of level and interlevel sets. Homology, Homotopy and Applications. 2013;15(1):51-72. doi:10.4310/HHA.2013.v15.n1.a3
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, et al. Genotypic recognition and spatial responses by rice roots. PNAS. 2013;110(7):2670-2675. doi:10.1073/pnas.1222821110
LibreCat: https://research-explorer.ista.ac.at/record/2887
DOI: 10.1073/pnas.1222821110
PMID: 23362379

Kerber M, Edelsbrunner H. 3D kinetic alpha complexes and their implementation. In: 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments. Society of Industrial and Applied Mathematics; 2013:70-77. doi:10.1137/1.9781611972931.6
LibreCat: https://research-explorer.ista.ac.at/record/2906
DOI: 10.1137/1.9781611972931.6

Edelsbrunner H, Fasy BT, Rote G. Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions. Discrete &; Computational Geometry. 2013;49(4):797-822. doi:10.1007/s00454-013-9517-x
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

Edelsbrunner H. Persistent homology in image processing. In: Graph-Based Representations in Pattern Recognition. Vol 7877. LNCS. Berlin, Heidelberg: Springer Nature; 2013:182-183. doi:10.1007/978-3-642-38221-5_19
LibreCat: https://research-explorer.ista.ac.at/record/10897
DOI: 10.1007/978-3-642-38221-5_19

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

Edelsbrunner H, Symonova O. The adaptive topology of a digital image. In: IEEE; 2012:41-48. doi:10.1109/ISVD.2012.11
LibreCat: https://research-explorer.ista.ac.at/record/2903
DOI: 10.1109/ISVD.2012.11

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

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

Edelsbrunner H, Kerber M. Alexander duality for functions: The persistent behavior of land and water and shore. In: Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry . ACM; 2012:249-258. doi:10.1145/2261250.2261287
LibreCat: https://research-explorer.ista.ac.at/record/3133
DOI: 10.1145/2261250.2261287

Edelsbrunner H, Fasy B, Rote G. 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 . ACM; 2012:91-100. doi:10.1145/2261250.2261265
LibreCat: https://research-explorer.ista.ac.at/record/3134
DOI: 10.1145/2261250.2261265

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

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

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

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

Edelsbrunner H, Musin O, Ukhalov A, et al. Fractal and computational geometry for generalizing cartographic objects. Modeling and Analysis of Information Systems. 2012;19(6):152-160.
LibreCat: https://research-explorer.ista.ac.at/record/2902

Van De Weygaert R, Vegter G, Edelsbrunner H, et al. Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web. In: Gavrilova M, Tan K, Mostafavi M, eds. Transactions on Computational Science XIV. Vol 6970. Special Issue on Voronoi Diagrams and Delaunay Triangulation. Springer; 2011:60-101. doi:10.1007/978-3-642-25249-5_3
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. Letter from the new editors-in-chief. Discrete &; Computational Geometry. 2011;45(1):1-2. doi:10.1007/s00454-010-9313-9
LibreCat: https://research-explorer.ista.ac.at/record/3334
DOI: 10.1007/s00454-010-9313-9

Edelsbrunner H, Kerber M. Covering and packing with spheres by diagonal distortion in R^n. In: Calude C, Rozenberg G, Salomaa A, eds. Rainbow of Computer Science. Vol 6570. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday. Springer; 2011:20-35. doi:10.1007/978-3-642-19391-0_2
LibreCat: https://research-explorer.ista.ac.at/record/3796
DOI: 10.1007/978-3-642-19391-0_2

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

Zheng Y, Gu S, Edelsbrunner H, Tomasi C, Benfey P. Detailed Reconstruction of 3D Plant Root Shape. IEEE; 2011. doi:10.1109/ICCV.2011.6126475
LibreCat: https://research-explorer.ista.ac.at/record/3312
DOI: 10.1109/ICCV.2011.6126475

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

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

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

Edelsbrunner H, Morozov D, Patel A. The stability of the apparent contour of an orientable 2-manifold. In: Topological Data Analysis and Visualization: Theory, Algorithms and Applications. Springer; 2010:27-42. doi:10.1007/978-3-642-15014-2_3
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. The robustness of level sets. In: Vol 6346. Springer; 2010:1-10. doi:10.1007/978-3-642-15775-2_1
LibreCat: https://research-explorer.ista.ac.at/record/3848
DOI: 10.1007/978-3-642-15775-2_1

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

Cohen Steiner D, Edelsbrunner H, Harer J, Mileyko Y. Lipschitz functions have L_p-stable persistence. Foundations of Computational Mathematics. 2010;10(2):127-139. doi:10.1007/s10208-010-9060-6
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. Mean-payoff automaton expressions. In: Vol 6269. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2010:269-283. doi:10.1007/978-3-642-15375-4_19
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. Persistent homology under non-uniform error. In: Vol 6281. Springer; 2010:12-23. doi:10.1007/978-3-642-15155-2_2
LibreCat: https://research-explorer.ista.ac.at/record/3849
DOI: 10.1007/978-3-642-15155-2_2

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

Attali D, Boissonnat J, Edelsbrunner H. 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; 2009:109-125. doi:10.1007/b106657_6
LibreCat: https://research-explorer.ista.ac.at/record/3578
DOI: 10.1007/b106657_6

Edelsbrunner H, Harer J. The persistent Morse complex segmentation of a 3-manifold. In: Vol 5903. Springer; 2009:36-50. doi:10.1007/978-3-642-10470-1_4
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. Extending persistence using Poincare and Lefschetz duality. Foundations of Computational Mathematics. 2009;9(1):79-103. doi:10.1007/s10208-008-9027-z
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. Persistent homology for kernels, images, and cokernels. In: SIAM; 2009:1011-1020.
LibreCat: https://research-explorer.ista.ac.at/record/3967

Edelsbrunner H, Harer J, Patel A. Reeb spaces of piecewise linear mappings. In: ACM; 2008:242-250. doi:10.1145/1377676.1377720
LibreCat: https://research-explorer.ista.ac.at/record/3974
DOI: 10.1145/1377676.1377720

Biasotti S, Attali D, Boissonnat J, et al. Skeletal structures. In: Shape Analysis and Structuring. Springer; 2008:145-183. doi:10.1007/978-3-540-33265-7_5
LibreCat: https://research-explorer.ista.ac.at/record/3577
DOI: 10.1007/978-3-540-33265-7_5

Dequéant M, Ahnert S, Edelsbrunner H, et al. Comparison of pattern detection methods in microarray time series of the segmentation clock. PLoS One. 2008;3(8). doi:10.1371/journal.pone.0002856
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. Time-varying Reeb graphs for continuous space-time data. Computational Geometry: Theory and Applications. 2008;41(3):149-166. doi:10.1016/j.comgeo.2007.11.001
LibreCat: https://research-explorer.ista.ac.at/record/3971
DOI: 10.1016/j.comgeo.2007.11.001

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

Headd J, Ban YEA, Brown P, Edelsbrunner H, Vaidya M, Rudolph J. Protein-protein interfaces: Properties, preferences, and projections. Journal of Proteome Research. 2007;6(7):2576-2586. doi:10.1021/pr070018+
LibreCat: https://research-explorer.ista.ac.at/record/3976
DOI: 10.1021/pr070018+

Attali D, Edelsbrunner H, Harer J, Mileyko Y. Alpha-beta witness complexes. In: Vol 4619. Springer; 2007:386-397. doi:10.1007/978-3-540-73951-7_34
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. Inferring local homology from sampled stratified spaces. In: IEEE; 2007:536-546. doi:10.1109/FOCS.2007.33
LibreCat: https://research-explorer.ista.ac.at/record/3975
DOI: 10.1109/FOCS.2007.33