Pranav, Pratyush, Herbert Edelsbrunner, Rien Van De Weygaert, Gert Vegter, Michael Kerber, Bernard Jones, and Mathijs Wintraecken. “The Topology of the Cosmic Web in Terms of Persistent Betti Numbers.”https://doi.org/10.1093/mnras/stw2862__Monthly Notices of the Royal Astronomical Society. Oxford University Press, 2017.https://doi.org/10.1093/mnras/stw2862 .
LibreCat: https://research-explorer.ista.ac.at/record/1022
DOI: 10.1093/mnras/stw2862
WoS: 000395170200039

Virk, Ziga, and Andreas Zastrow. “A New Topology on the Universal Path Space.”https://doi.org/10.1016/j.topol.2017.09.015__Topology and Its Applications. Elsevier, 2017.https://doi.org/10.1016/j.topol.2017.09.015 .
LibreCat: https://research-explorer.ista.ac.at/record/737
DOI: 10.1016/j.topol.2017.09.015
WoS: 000413889100012

Ethier, Marc, Grzegorz Jablonski, and Marian Mrozek. “Finding Eigenvalues of Self-Maps with the Kronecker Canonical Form.”https://doi.org/10.1007/978-3-319-56932-1_8__In Special Sessions in Applications of Computer Algebra, 198:119–36. Springer, 2017.https://doi.org/10.1007/978-3-319-56932-1_8 .
LibreCat: https://research-explorer.ista.ac.at/record/836
DOI: 10.1007/978-3-319-56932-1_8
WoS: 000434088200008

Heiss, Teresa, and Hubert Wagner. “Streaming Algorithm for Euler Characteristic Curves of Multidimensional Images.”https://doi.org/10.1007/978-3-319-64689-3_32__edited by Michael Felsberg, Anders Heyden, and Norbert Krüger, 10424:397–409. Springer, 2017.https://doi.org/10.1007/978-3-319-64689-3_32 .
LibreCat: https://research-explorer.ista.ac.at/record/833
DOI: 10.1007/978-3-319-64689-3_32
WoS: 000432085900032

Edelsbrunner, Herbert, and Patrice Koehl. “Computational Topology for Structural Molecular Biology.”https://doi.org/10.1201/9781315119601__In Handbook of Discrete and Computational Geometry, Third Edition, edited by Csaba Toth, Joseph O’Rourke, and Jacob Goodman, 1709–35. Handbook of Discrete and Computational Geometry. Taylor &; Francis, 2017.https://doi.org/10.1201/9781315119601 .
LibreCat: https://research-explorer.ista.ac.at/record/84
DOI: 10.1201/9781315119601

Akopyan, Arseniy, and Vladislav Vysotsky. “On the Lengths of Curves Passing through Boundary Points of a Planar Convex Shape.”https://doi.org/10.4169/amer.math.monthly.124.7.588__The American Mathematical Monthly. Mathematical Association of America, 2017.https://doi.org/10.4169/amer.math.monthly.124.7.588 .
LibreCat: https://research-explorer.ista.ac.at/record/909
DOI: 10.4169/amer.math.monthly.124.7.588
WoS: 000413947300002
arXiv: 1605.07997

Miyaji, Tomoyuki, Pawel Pilarczyk, Marcio Gameiro, Hiroshi Kokubu, and Konstantin Mischaikow. “A Study of Rigorous ODE Integrators for Multi Scale Set Oriented Computations.”https://doi.org/10.1016/j.apnum.2016.04.005__Applied Numerical Mathematics. Elsevier, 2016.https://doi.org/10.1016/j.apnum.2016.04.005 .
LibreCat: https://research-explorer.ista.ac.at/record/1149
DOI: 10.1016/j.apnum.2016.04.005

Kasten, Jens, Jan Reininghaus, Ingrid Hotz, Hans Hege, Bernd Noack, Guillaume Daviller, and Marek Morzyski. “Acceleration Feature Points of Unsteady Shear Flows.” Archives of Mechanics. Polish Academy of Sciences Publishing House, 2016.
LibreCat: https://research-explorer.ista.ac.at/record/1216

Musin, Oleg, and Anton Nikitenko. “Optimal Packings of Congruent Circles on a Square Flat Torus.”https://doi.org/10.1007/s00454-015-9742-6__Discrete &; Computational Geometry. Springer, 2016.https://doi.org/10.1007/s00454-015-9742-6 .
LibreCat: https://research-explorer.ista.ac.at/record/1222
DOI: 10.1007/s00454-015-9742-6

Krcál, Marek, and Pawel Pilarczyk. “Computation of Cubical Steenrod Squares,”https://doi.org/10.1007/978-3-319-39441-1_13__9667:140–51. Springer, 2016.https://doi.org/10.1007/978-3-319-39441-1_13 .
LibreCat: https://research-explorer.ista.ac.at/record/1237
DOI: 10.1007/978-3-319-39441-1_13

Harker, Shaun, Hiroshi Kokubu, Konstantin Mischaikow, and Pawel Pilarczyk. “Inducing a Map on Homology from a Correspondence.”https://doi.org/10.1090/proc/12812__Proceedings of the American Mathematical Society. American Mathematical Society, 2016.https://doi.org/10.1090/proc/12812 .
LibreCat: https://research-explorer.ista.ac.at/record/1252
DOI: 10.1090/proc/12812
arXiv: 1411.7563

Golmakani, Ali, Stefano Luzzatto, and Pawel Pilarczyk. “Uniform Expansivity Outside a Critical Neighborhood in the Quadratic Family.”https://doi.org/10.1080/10586458.2015.1048011__Experimental Mathematics. Taylor and Francis, 2016.https://doi.org/10.1080/10586458.2015.1048011 .
LibreCat: https://research-explorer.ista.ac.at/record/1254
DOI: 10.1080/10586458.2015.1048011

Held, Martin, Stefan Huber, and Peter Palfrader. “Generalized Offsetting of Planar Structures Using Skeletons.”https://doi.org/10.1080/16864360.2016.1150718__Computer-Aided Design and Applications. Taylor and Francis, 2016.https://doi.org/10.1080/16864360.2016.1150718 .
LibreCat: https://research-explorer.ista.ac.at/record/1272
DOI: 10.1080/16864360.2016.1150718

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “Multiple Covers with Balls II: Weighted Averages.”https://doi.org/10.1016/j.endm.2016.09.030__Electronic Notes in Discrete Mathematics. Elsevier, 2016.https://doi.org/10.1016/j.endm.2016.09.030 .
LibreCat: https://research-explorer.ista.ac.at/record/1295
DOI: 10.1016/j.endm.2016.09.030

Durst, Sebastian, Marc Kegel, and Mirko D Klukas. “Computing the Thurston–Bennequin Invariant in Open Books.”https://doi.org/10.1007/s10474-016-0648-4__Acta Mathematica Hungarica. Springer, 2016.https://doi.org/10.1007/s10474-016-0648-4 .
LibreCat: https://research-explorer.ista.ac.at/record/1292
DOI: 10.1007/s10474-016-0648-4

Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.”https://doi.org/10.1007/s11856-016-1429-z__Israel Journal of Mathematics. Springer, 2016.https://doi.org/10.1007/s11856-016-1429-z .
LibreCat: https://research-explorer.ista.ac.at/record/1330
DOI: 10.1007/s11856-016-1429-z

Akopyan, Arseniy, Alexey Balitskiy, Roman Karasev, and Anastasia Sharipova. “Elementary Approach to Closed Billiard Trajectories in Asymmetric Normed Spaces.”https://doi.org/10.1090/proc/13062__Proceedings of the American Mathematical Society. American Mathematical Society, 2016.https://doi.org/10.1090/proc/13062 .
LibreCat: https://research-explorer.ista.ac.at/record/1360
DOI: 10.1090/proc/13062

Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups.”https://doi.org/10.1007/s00454-016-9794-2__Discrete &; Computational Geometry. Springer, 2016.https://doi.org/10.1007/s00454-016-9794-2 .
LibreCat: https://research-explorer.ista.ac.at/record/1408
DOI: 10.1007/s00454-016-9794-2

Dunaeva, Olga, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, Daria Malkova, Roman Kuvaev, and Sergey Kashin. “The Classification of Endoscopy Images with Persistent Homology.”https://doi.org/10.1016/j.patrec.2015.12.012__Pattern Recognition Letters. Elsevier, 2016.https://doi.org/10.1016/j.patrec.2015.12.012 .
LibreCat: https://research-explorer.ista.ac.at/record/1289
DOI: 10.1016/j.patrec.2015.12.012

Pausinger, Florian, and Stefan Steinerberger. “On the Discrepancy of Jittered Sampling.”https://doi.org/10.1016/j.jco.2015.11.003__Journal of Complexity. Academic Press, 2016.https://doi.org/10.1016/j.jco.2015.11.003 .
LibreCat: https://research-explorer.ista.ac.at/record/1617
DOI: 10.1016/j.jco.2015.11.003

Biswas, Ranita, and Partha Bhowmick. “On Functionality of Quadraginta Octants of Naive Sphere with Application to Circle Drawing.”https://doi.org/10.1007/978-3-319-32360-2_20__In Discrete Geometry for Computer Imagery, 9647:256–67. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-32360-2_20 .
LibreCat: https://research-explorer.ista.ac.at/record/5806
DOI: 10.1007/978-3-319-32360-2_20

Sen, Nabhasmita, Ranita Biswas, and Partha Bhowmick. “On Some Local Topological Properties of Naive Discrete Sphere.”https://doi.org/10.1007/978-3-319-39441-1_23__In Computational Topology in Image Context, 9667:253–64. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-39441-1_23 .
LibreCat: https://research-explorer.ista.ac.at/record/5805
DOI: 10.1007/978-3-319-39441-1_23

Biswas, Ranita, Partha Bhowmick, and Valentin E. Brimkov. “On the Connectivity and Smoothness of Discrete Spherical Circles.”https://doi.org/10.1007/978-3-319-26145-4_7__In Combinatorial Image Analysis, 9448:86–100. Cham: Springer Nature, 2016.https://doi.org/10.1007/978-3-319-26145-4_7 .
LibreCat: https://research-explorer.ista.ac.at/record/5809
DOI: 10.1007/978-3-319-26145-4_7

Edelsbrunner, Herbert, and Florian Pausinger. “Approximation and Convergence of the Intrinsic Volume.”https://doi.org/10.1016/j.aim.2015.10.004__Advances in Mathematics. Academic Press, 2016.https://doi.org/10.1016/j.aim.2015.10.004 .
LibreCat: https://research-explorer.ista.ac.at/record/1662
DOI: 10.1016/j.aim.2015.10.004

Kwitt, Roland, Stefan Huber, Marc Niethammer, Weili Lin, and Ulrich Bauer. “Statistical Topological Data Analysis-A Kernel Perspective,” 28:3070–78. Neural Information Processing Systems, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1424

Reininghaus, Jan, Stefan Huber, Ulrich Bauer, and Roland Kwitt. “A Stable Multi-Scale Kernel for Topological Machine Learning,”https://doi.org/10.1109/CVPR.2015.7299106__4741–48. IEEE, 2015.https://doi.org/10.1109/CVPR.2015.7299106 .
LibreCat: https://research-explorer.ista.ac.at/record/1483
DOI: 10.1109/CVPR.2015.7299106

Edelsbrunner, Herbert, Mabel Iglesias Ham, and Vitaliy Kurlin. “Relaxed Disk Packing.” In Proceedings of the 27th Canadian Conference on Computational Geometry, 2015–August:128–35. Queen’s University, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1495

Franek, Peter, and Marek Krcál. “On Computability and Triviality of Well Groups,”https://doi.org/10.4230/LIPIcs.SOCG.2015.842__34:842–56. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2015.https://doi.org/10.4230/LIPIcs.SOCG.2015.842 .
LibreCat: https://research-explorer.ista.ac.at/record/1510
DOI: 10.4230/LIPIcs.SOCG.2015.842

Zobel, Valentin, Jan Reininghaus, and Ingrid Hotz. “Visualizing Symmetric Indefinite 2D Tensor Fields Using The Heat Kernel Signature.”https://doi.org/10.1007/978-3-319-15090-1_13__In Visualization and Processing of Higher Order Descriptors for Multi-Valued Data, edited by Ingrid Hotz and Thomas Schultz, 1st ed., 40:257–67. Springer, 2015.https://doi.org/10.1007/978-3-319-15090-1_13 .
LibreCat: https://research-explorer.ista.ac.at/record/1531
DOI: 10.1007/978-3-319-15090-1_13

Knipl, Diána, Pawel Pilarczyk, and Gergely Röst. “Rich Bifurcation Structure in a Two Patch Vaccination Model.”https://doi.org/10.1137/140993934__SIAM Journal on Applied Dynamical Systems. Society for Industrial and Applied Mathematics , 2015.https://doi.org/10.1137/140993934 .
LibreCat: https://research-explorer.ista.ac.at/record/1555
DOI: 10.1137/140993934

Dunaeva, Olga, Herbert Edelsbrunner, Anton Lukyanov, Michael Machin, and Daria Malkova. “The Classification of Endoscopy Images with Persistent Homology.”https://doi.org/10.1109/SYNASC.2014.81__In Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 7034731. IEEE, 2015.https://doi.org/10.1109/SYNASC.2014.81 .
LibreCat: https://research-explorer.ista.ac.at/record/1568
DOI: 10.1109/SYNASC.2014.81

Edelsbrunner, Herbert. “Shape, Homology, Persistence, and Stability.” In 23rd International Symposium, Vol. 9411. Springer Nature, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1567

Graff, Grzegorz, and Pawel Pilarczyk. “An Algorithmic Approach to Estimating the Minimal Number of Periodic Points for Smooth Self-Maps of Simply-Connected Manifolds.”https://doi.org/10.12775/TMNA.2015.014__Topological Methods in Nonlinear Analysis. Juliusz Schauder Center for Nonlinear Studies, 2015.https://doi.org/10.12775/TMNA.2015.014 .
LibreCat: https://research-explorer.ista.ac.at/record/1563
DOI: 10.12775/TMNA.2015.014

Cao, Thanhtung, Herbert Edelsbrunner, and Tiowseng Tan. “Triangulations from Topologically Correct Digital Voronoi Diagrams.”https://doi.org/10.1016/j.comgeo.2015.04.001__Computational Geometry. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2015.04.001 .
LibreCat: https://research-explorer.ista.ac.at/record/1578
DOI: 10.1016/j.comgeo.2015.04.001

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “Reprint of: Weighted Straight Skeletons in the Plane.”https://doi.org/10.1016/j.comgeo.2015.01.004__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2015.01.004 .
LibreCat: https://research-explorer.ista.ac.at/record/1584
DOI: 10.1016/j.comgeo.2015.01.004

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “Weighted Straight Skeletons in the Plane.”https://doi.org/10.1016/j.comgeo.2014.08.006__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2014.08.006 .
LibreCat: https://research-explorer.ista.ac.at/record/1582
DOI: 10.1016/j.comgeo.2014.08.006

Biedl, Therese, Martin Held, Stefan Huber, Dominik Kaaser, and Peter Palfrader. “A Simple Algorithm for Computing Positively Weighted Straight Skeletons of Monotone Polygons.”https://doi.org/10.1016/j.ipl.2014.09.021__Information Processing Letters. Elsevier, 2015.https://doi.org/10.1016/j.ipl.2014.09.021 .
LibreCat: https://research-explorer.ista.ac.at/record/1583
DOI: 10.1016/j.ipl.2014.09.021

Aichholzer, Oswin, Therese Biedl, Thomas Hackl, Martin Held, Stefan Huber, Peter Palfrader, and Birgit Vogtenhuber. “Representing Directed Trees as Straight Skeletons.”https://doi.org/10.1007/978-3-319-27261-0_28__In Graph Drawing and Network Visualization, 9411:335–47. Springer Nature, 2015.https://doi.org/10.1007/978-3-319-27261-0_28 .
LibreCat: https://research-explorer.ista.ac.at/record/1590
DOI: 10.1007/978-3-319-27261-0_28

Franek, Peter, and Marek Krcál. “Robust Satisfiability of Systems of Equations.”https://doi.org/10.1145/2751524__Journal of the ACM. ACM, 2015.https://doi.org/10.1145/2751524 .
LibreCat: https://research-explorer.ista.ac.at/record/1682
DOI: 10.1145/2751524

Akopyan, Arseniy, and Alexander Plakhov. “Minimal Resistance of Curves under the Single Impact Assumption.”https://doi.org/10.1137/140993843__Society for Industrial and Applied Mathematics. SIAM, 2015.https://doi.org/10.1137/140993843 .
LibreCat: https://research-explorer.ista.ac.at/record/1710
DOI: 10.1137/140993843

Akopyan, Arseniy, Sergey Pirogov, and Aleksandr Rybko. “Invariant Measures of Genetic Recombination Process.”https://doi.org/10.1007/s10955-015-1238-5__Journal of Statistical Physics. Springer, 2015.https://doi.org/10.1007/s10955-015-1238-5 .
LibreCat: https://research-explorer.ista.ac.at/record/1828
DOI: 10.1007/s10955-015-1238-5

Pausinger, Florian, and Stefan Steinerberger. “On the Distribution of Local Extrema in Quantum Chaos.”https://doi.org/10.1016/j.physleta.2014.12.010__Physics Letters, Section A. Elsevier, 2015.https://doi.org/10.1016/j.physleta.2014.12.010 .
LibreCat: https://research-explorer.ista.ac.at/record/1938
DOI: 10.1016/j.physleta.2014.12.010

Edelsbrunner, Herbert, Grzegorz Jablonski, and Marian Mrozek. “The Persistent Homology of a Self-Map.”https://doi.org/10.1007/s10208-014-9223-y__Foundations of Computational Mathematics. Springer, 2015.https://doi.org/10.1007/s10208-014-9223-y .
LibreCat: https://research-explorer.ista.ac.at/record/2035
DOI: 10.1007/s10208-014-9223-y

Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. “Homological Reconstruction and Simplification in .”https://doi.org/10.1016/j.comgeo.2014.08.010__Computational Geometry: Theory and Applications. Elsevier, 2015.https://doi.org/10.1016/j.comgeo.2014.08.010 .
LibreCat: https://research-explorer.ista.ac.at/record/1805
DOI: 10.1016/j.comgeo.2014.08.010

Symonova, Olga, Christopher Topp, and Herbert Edelsbrunner. “DynamicRoots: A Software Platform for the Reconstruction and Analysis of Growing Plant Roots.”https://doi.org/10.1371/journal.pone.0127657__PLoS One. Public Library of Science, 2015.https://doi.org/10.1371/journal.pone.0127657 .
LibreCat: https://research-explorer.ista.ac.at/record/1793
DOI: 10.1371/journal.pone.0127657

Symonova, Olga, Christopher Topp, and Herbert Edelsbrunner. “Root Traits Computed by DynamicRoots for the Maize Root Shown in Fig 2.”https://doi.org/10.1371/journal.pone.0127657.s001__Public Library of Science, 2015.https://doi.org/10.1371/journal.pone.0127657.s001 .
LibreCat: https://research-explorer.ista.ac.at/record/9737
DOI: 10.1371/journal.pone.0127657.s001

Pausinger, Florian, and Anne Svane. “A Koksma-Hlawka Inequality for General Discrepancy Systems.”https://doi.org/10.1016/j.jco.2015.06.002__Journal of Complexity. Academic Press, 2015.https://doi.org/10.1016/j.jco.2015.06.002 .
LibreCat: https://research-explorer.ista.ac.at/record/1792
DOI: 10.1016/j.jco.2015.06.002

Pausinger, Florian. “On the Approximation of Intrinsic Volumes.” Institute of Science and Technology Austria, 2015.
LibreCat: https://research-explorer.ista.ac.at/record/1399

Kasten, Jens, Jan Reininghaus, Wieland Reich, and Gerik Scheuermann. “Toward the Extraction of Saddle Periodic Orbits.”https://doi.org/10.1007/978-3-319-04099-8_4__In Topological Methods in Data Analysis and Visualization III , edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 1:55–69. Mathematics and Visualization. Cham: Springer, 2014.https://doi.org/10.1007/978-3-319-04099-8_4 .
LibreCat: https://research-explorer.ista.ac.at/record/10893
DOI: 10.1007/978-3-319-04099-8_4

Huber, Stefan, Martin Held, Peter Meerwald, and Roland Kwitt. “Topology-Preserving Watermarking of Vector Graphics.”https://doi.org/10.1142/S0218195914500034__International Journal of Computational Geometry and Applications. World Scientific Publishing, 2014.https://doi.org/10.1142/S0218195914500034 .
LibreCat: https://research-explorer.ista.ac.at/record/1816
DOI: 10.1142/S0218195914500034

Cibulka, Josef, Pu Gao, Marek Krcál, Tomás Valla, and Pavel Valtr. “On the Geometric Ramsey Number of Outerplanar Graphs.”https://doi.org/10.1007/s00454-014-9646-x__Discrete &; Computational Geometry. Springer, 2014.https://doi.org/10.1007/s00454-014-9646-x .
LibreCat: https://research-explorer.ista.ac.at/record/1842
DOI: 10.1007/s00454-014-9646-x

Dolbilin, Nikolai, Herbert Edelsbrunner, Alexey Glazyrin, and Oleg Musin. “Functionals on Triangulations of Delaunay Sets.”https://doi.org/10.17323/1609-4514-2014-14-3-491-504__Moscow Mathematical Journal. Independent University of Moscow, 2014.https://doi.org/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, V V, V G Bogaevskaya, M M Preobrazhenskaya, A Y Ukhalov, Herbert Edelsbrunner, and Olga Yakimova. “An Algorithm for Cartographic Generalization That Preserves Global Topology.”https://doi.org/10.1007/s10958-014-2165-8__Journal of Mathematical Sciences. Springer, 2014.https://doi.org/10.1007/s10958-014-2165-8 .
LibreCat: https://research-explorer.ista.ac.at/record/1929
DOI: 10.1007/s10958-014-2165-8

Günther, David, Alec Jacobson, Jan Reininghaus, Hans Seidel, Olga Sorkine Hornung, and Tino Weinkauf. “Fast and Memory-Efficient Topological Denoising of 2D and 3D Scalar Fields.”https://doi.org/10.1109/TVCG.2014.2346432__IEEE Transactions on Visualization and Computer Graphics. IEEE, 2014.https://doi.org/10.1109/TVCG.2014.2346432 .
LibreCat: https://research-explorer.ista.ac.at/record/1930
DOI: 10.1109/TVCG.2014.2346432

Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Distributed Computation of Persistent Homology.”https://doi.org/10.1137/1.9781611973198.4__In Proceedings of the Workshop on Algorithm Engineering and Experiments, edited by Catherinehttps://doi.org/10.1137/1.9781611973198.4__McGeoch and Ulrich Meyer, 31–38. Society of Industrial and Applied Mathematics, 2014.https://doi.org/10.1137/1.9781611973198.4 .
LibreCat: https://research-explorer.ista.ac.at/record/2043
DOI: 10.1137/1.9781611973198.4

Bauer, Ulrich, Michael Kerber, and Jan Reininghaus. “Clear and Compress: Computing Persistent Homology in Chunks.”https://doi.org/10.1007/978-3-319-04099-8_7__In Topological Methods in Data Analysis and Visualization III, edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 103–17. Mathematics and Visualization. Springer, 2014.https://doi.org/10.1007/978-3-319-04099-8_7 .
LibreCat: https://research-explorer.ista.ac.at/record/2044
DOI: 10.1007/978-3-319-04099-8_7

Bauer, Ulrich, and Michael Lesnick. “Induced Matchings of Barcodes and the Algebraic Stability of Persistence.”https://doi.org/10.1145/2582112.2582168__In Proceedings of the Annual Symposium on Computational Geometry, 355–64. ACM, 2014.https://doi.org/10.1145/2582112.2582168 .
LibreCat: https://research-explorer.ista.ac.at/record/2153
DOI: 10.1145/2582112.2582168

Bauer, Ulrich, Xiaoyin Ge, and Yusu Wang. “Measuring Distance between Reeb Graphs.”https://doi.org/10.1145/2582112.2582169__In Proceedings of the Annual Symposium on Computational Geometry, 464–73. ACM, 2014.https://doi.org/10.1145/2582112.2582169 .
LibreCat: https://research-explorer.ista.ac.at/record/2156
DOI: 10.1145/2582112.2582169

Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of cech and Delaunay Filtrations.”https://doi.org/10.1145/2582112.2582167__In Proceedings of the Annual Symposium on Computational Geometry, 484–90. ACM, 2014.https://doi.org/10.1145/2582112.2582167 .
LibreCat: https://research-explorer.ista.ac.at/record/2155
DOI: 10.1145/2582112.2582167

Edelsbrunner, Herbert, and Salman Parsa. “On the Computational Complexity of Betti Numbers Reductions from Matrix Rank.”https://doi.org/10.1137/1.9781611973402.11__In Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, 152–60. SIAM, 2014.https://doi.org/10.1137/1.9781611973402.11 .
LibreCat: https://research-explorer.ista.ac.at/record/2177
DOI: 10.1137/1.9781611973402.11

cadek, Martin, Marek Krcál, Jií Matousek, Francis Sergeraert, Lukás Vokínek, and Uli Wagner. “Computing All Maps into a Sphere.”https://doi.org/10.1145/2597629__Journal of the ACM. ACM, 2014.https://doi.org/10.1145/2597629 .
LibreCat: https://research-explorer.ista.ac.at/record/2184
DOI: 10.1145/2597629

Edelsbrunner, Herbert, and Dmitriy Morozovy. “Persistent Homology: Theory and Practice,”https://doi.org/10.4171/120-1/3__31–50. European Mathematical Society Publishing House, 2014.https://doi.org/10.4171/120-1/3 .
LibreCat: https://research-explorer.ista.ac.at/record/2905
DOI: 10.4171/120-1/3

Biedl, Therese, Stefan Huber, and Peter Palfrader. “Planar Matchings for Weighted Straight Skeletons.”https://doi.org/10.1007/978-3-319-13075-0_10__In 25th International Symposium, ISAAC 2014, 8889:117–27. Springer Nature, 2014.https://doi.org/10.1007/978-3-319-13075-0_10 .
LibreCat: https://research-explorer.ista.ac.at/record/10892
DOI: 10.1007/978-3-319-13075-0_10

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

Zobel, Valentin, Jan Reininghaus, and Ingrid Hotz. “Visualization of Two-Dimensional Symmetric Positive Definite Tensor Fields Using the Heat Kernel Signature.”https://doi.org/10.1007/978-3-319-04099-8_16__In Topological Methods in Data Analysis and Visualization III , 249–62. Springer, 2014.https://doi.org/10.1007/978-3-319-04099-8_16 .
LibreCat: https://research-explorer.ista.ac.at/record/10886
DOI: 10.1007/978-3-319-04099-8_16

Günther, David, Jan Reininghaus, Hans-Peter Seidel, and Tino Weinkauf. “Notes on the Simplification of the Morse-Smale Complex.”https://doi.org/10.1007/978-3-319-04099-8_9__In Topological Methods in Data Analysis and Visualization III., edited by Peer-Timo Bremer, Ingrid Hotz, Valerio Pascucci, and Ronald Peikert, 135–50. Mathematics and Visualization. Cham: Springer Nature, 2014.https://doi.org/10.1007/978-3-319-04099-8_9 .
LibreCat: https://research-explorer.ista.ac.at/record/10817
DOI: 10.1007/978-3-319-04099-8_9

Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.”https://doi.org/10.1007/s10851-013-0468-x__Journal of Mathematical Imaging and Vision. Springer, 2014.https://doi.org/10.1007/s10851-013-0468-x .
LibreCat: https://research-explorer.ista.ac.at/record/2255
DOI: 10.1007/s10851-013-0468-x

Bauer, Ulrich, Michael Kerber, Jan Reininghaus, and Hubert Wagner. “PHAT – Persistent Homology Algorithms Toolbox.”https://doi.org/10.1007/978-3-662-44199-2_24__In ICMS 2014: International Congress on Mathematical Software, 8592:137–43. LNCS. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014.https://doi.org/10.1007/978-3-662-44199-2_24 .
LibreCat: https://research-explorer.ista.ac.at/record/10894
DOI: 10.1007/978-3-662-44199-2_24

Iglesias Ham, Mabel, Michael Kerber, and Caroline Uhler. “Sphere Packing with Limited Overlap.”https://doi.org/10.48550/arXiv.1401.0468__ArXiv, n.d.https://doi.org/10.48550/arXiv.1401.0468 .
LibreCat: https://research-explorer.ista.ac.at/record/2012
DOI: 10.48550/arXiv.1401.0468
arXiv: 1401.0468

Biedl, Therese, Martin Held, and Stefan Huber. “Recognizing Straight Skeletons and Voronoi Diagrams and Reconstructing Their Input,”https://doi.org/10.1109/ISVD.2013.11__37–46. IEEE, 2013.https://doi.org/10.1109/ISVD.2013.11 .
LibreCat: https://research-explorer.ista.ac.at/record/2209
DOI: 10.1109/ISVD.2013.11

Biedl, Therese, Martin Held, and Stefan Huber. “Reconstructing Polygons from Embedded Straight Skeletons.” In 29th European Workshop on Computational Geometry, 95–98. TU Braunschweig, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2210

Pausinger, Florian. “Van Der Corput Sequences and Linear Permutations.”https://doi.org/10.1016/j.endm.2013.07.008__Electronic Notes in Discrete Mathematics. Elsevier, 2013.https://doi.org/10.1016/j.endm.2013.07.008 .
LibreCat: https://research-explorer.ista.ac.at/record/2304
DOI: 10.1016/j.endm.2013.07.008

cadek, Martin, Marek Krcál, Jií Matousek, Lukás Vokínek, and Uli Wagner. “Extending Continuous Maps: Polynomiality and Undecidability.”https://doi.org/10.1145/2488608.2488683__In 45th Annual ACM Symposium on Theory of Computing, 595–604. ACM, 2013.https://doi.org/10.1145/2488608.2488683 .
LibreCat: https://research-explorer.ista.ac.at/record/2807
DOI: 10.1145/2488608.2488683

Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André Lieutier. “Homological Reconstruction and Simplification in .”https://doi.org/10.1145/2462356.2462373__In Proceedings of the 29th Annual Symposium on Computational Geometry, 117–25. ACM, 2013.https://doi.org/10.1145/2462356.2462373 .
LibreCat: https://research-explorer.ista.ac.at/record/2812
DOI: 10.1145/2462356.2462373

Topp, Christopher, Anjali Iyer Pascuzzi, Jill Anderson, Cheng Lee, Paul Zurek, Olga Symonova, Ying Zheng, et al. “D Phenotyping and Quantitative Trait Locus Mapping Identify Core Regions of the Rice Genome Controlling Root Architecture.”https://doi.org/10.1073/pnas.1304354110__PNAS. National Academy of Sciences, 2013.https://doi.org/10.1073/pnas.1304354110 .
LibreCat: https://research-explorer.ista.ac.at/record/2822
DOI: 10.1073/pnas.1304354110
PMID: 25673779

Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.”https://doi.org/10.1007/978-3-642-37067-0__In 17th IAPR International Conference on Discrete Geometry for Computer Imagery, 7749:XV–XIX. Springer, 2013.https://doi.org/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, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “Homology and Robustness of Level and Interlevel Sets.”https://doi.org/10.4310/HHA.2013.v15.n1.a3__Homology, Homotopy and Applications. International Press, 2013.https://doi.org/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, Suqin, Randy Clark, Ying Zheng, Anjali Iyer Pascuzzi, Joshua Weitz, Leon Kochian, Herbert Edelsbrunner, Hong Liao, and Philip Benfey. “Genotypic Recognition and Spatial Responses by Rice Roots.”https://doi.org/10.1073/pnas.1222821110__PNAS. National Academy of Sciences, 2013.https://doi.org/10.1073/pnas.1222821110 .
LibreCat: https://research-explorer.ista.ac.at/record/2887
DOI: 10.1073/pnas.1222821110
PMID: 23362379

Chen, Chao, Vladimir Kolmogorov, Zhu Yan, Dimitris Metaxas, and Christoph Lampert. “Computing the M Most Probable Modes of a Graphical Model,” 31:161–69. JMLR, 2013.
LibreCat: https://research-explorer.ista.ac.at/record/2901

Kerber, Michael, and Herbert Edelsbrunner. “D Kinetic Alpha Complexes and Their Implementation.”https://doi.org/10.1137/1.9781611972931.6__In 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, 70–77. Society of Industrial and Applied Mathematics, 2013.https://doi.org/10.1137/1.9781611972931.6 .
LibreCat: https://research-explorer.ista.ac.at/record/2906
DOI: 10.1137/1.9781611972931.6

Edelsbrunner, Herbert, Brittany Terese Fasy, and Günter Rote. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”https://doi.org/10.1007/s00454-013-9517-x__Discrete &; Computational Geometry. Springer, 2013.https://doi.org/10.1007/s00454-013-9517-x .
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology.”https://doi.org/10.1016/j.comgeo.2012.02.010__Computational Geometry: Theory and Applications. Elsevier, 2013.https://doi.org/10.1016/j.comgeo.2012.02.010 .
LibreCat: https://research-explorer.ista.ac.at/record/2939
DOI: 10.1016/j.comgeo.2012.02.010

Edelsbrunner, Herbert. “Persistent Homology in Image Processing.”https://doi.org/10.1007/978-3-642-38221-5_19__In Graph-Based Representations in Pattern Recognition, 7877:182–83. LNCS. Berlin, Heidelberg: Springer Nature, 2013.https://doi.org/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, Herbert, and Nataliya Strelkova. “On the Configuration Space of Steiner Minimal Trees.”https://doi.org/10.1070/RM2012v067n06ABEH004820__Russian Mathematical Surveys. IOP Publishing Ltd., 2012.https://doi.org/10.1070/RM2012v067n06ABEH004820 .
LibreCat: https://research-explorer.ista.ac.at/record/2849
DOI: 10.1070/RM2012v067n06ABEH004820

Edelsbrunner, Herbert, and Olga Symonova. “The Adaptive Topology of a Digital Image,”https://doi.org/10.1109/ISVD.2012.11__41–48. IEEE, 2012.https://doi.org/10.1109/ISVD.2012.11 .
LibreCat: https://research-explorer.ista.ac.at/record/2903
DOI: 10.1109/ISVD.2012.11

Dolbilin, Nikolai, Herbert Edelsbrunner, and Oleg Musin. “On the Optimality of Functionals over Triangulations of Delaunay Sets.”https://doi.org/10.1070/RM2012v067n04ABEH004807__Russian Mathematical Surveys. IOP Publishing, 2012.https://doi.org/10.1070/RM2012v067n04ABEH004807 .
LibreCat: https://research-explorer.ista.ac.at/record/2941
DOI: 10.1070/RM2012v067n04ABEH004807

Zankl, Georg, Yll Haxhimusa, and Adrian Ion. “Interactive Labeling of Image Segmentation Hierarchies,”https://doi.org/10.1007/978-3-642-32717-9_2__7476:11–20. Springer, 2012.https://doi.org/10.1007/978-3-642-32717-9_2 .
LibreCat: https://research-explorer.ista.ac.at/record/2971
DOI: 10.1007/978-3-642-32717-9_2

Brown, Gavin, Michael Kerber, and Miles Reid. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.”https://doi.org/10.1112/S0010437X11007226__Compositio Mathematica. Cambridge University Press, 2012.https://doi.org/10.1112/S0010437X11007226 .
LibreCat: https://research-explorer.ista.ac.at/record/3120
DOI: 10.1112/S0010437X11007226

Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions: The Persistent Behavior of Land and Water and Shore.”https://doi.org/10.1145/2261250.2261287__In Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , 249–58. ACM, 2012.https://doi.org/10.1145/2261250.2261287 .
LibreCat: https://research-explorer.ista.ac.at/record/3133
DOI: 10.1145/2261250.2261287

Edelsbrunner, Herbert, Brittany Fasy, and Günter Rote. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”https://doi.org/10.1145/2261250.2261265__In Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , 91–100. ACM, 2012.https://doi.org/10.1145/2261250.2261265 .
LibreCat: https://research-explorer.ista.ac.at/record/3134
DOI: 10.1145/2261250.2261265

Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of dn.”https://doi.org/10.1007/s00454-011-9382-4__Discrete &; Computational Geometry. Springer, 2012.https://doi.org/10.1007/s00454-011-9382-4 .
LibreCat: https://research-explorer.ista.ac.at/record/3256
DOI: 10.1007/s00454-011-9382-4

Ion, Adrian, Joao Carreira, and Cristian Sminchisescu. “Image Segmentation by Figure-Ground Composition into Maximal Cliques.”https://doi.org/10.1109/ICCV.2011.6126486__IEEE, 2012.https://doi.org/10.1109/ICCV.2011.6126486 .
LibreCat: https://research-explorer.ista.ac.at/record/3265
DOI: 10.1109/ICCV.2011.6126486

Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing Approximate Offsets.”https://doi.org/10.1007/s00454-012-9441-5__Discrete &; Computational Geometry. Springer, 2012.https://doi.org/10.1007/s00454-012-9441-5 .
LibreCat: https://research-explorer.ista.ac.at/record/3115
DOI: 10.1007/s00454-012-9441-5
arXiv: 1109.2158

Kerber, Michael, and Michael Sagraloff. “A Worst Case Bound for Topology Computation of Algebraic Curves.”https://doi.org/10.1016/j.jsc.2011.11.001__https://doi.org/10.1016/j.jsc.2011.11.001__Journal of Symbolic Computation. Elsevier, 2012.https://doi.org/10.1016/j.jsc.2011.11.001 .
LibreCat: https://research-explorer.ista.ac.at/record/3331
DOI: 10.1016/j.jsc.2011.11.001

Busaryev, Oleksiy, Sergio Cabello, Chao Chen, Tamal Dey, and Yusu Wang. “Annotating Simplices with a Homology Basis and Its Applications,”https://doi.org/10.1007/978-3-642-31155-0_17__7357:189–200. Springer, 2012.https://doi.org/10.1007/978-3-642-31155-0_17 .
LibreCat: https://research-explorer.ista.ac.at/record/3129
DOI: 10.1007/978-3-642-31155-0_17
arXiv: 1107.3793

Mileyko, Yuriy, Herbert Edelsbrunner, Charles Price, and Joshua Weitz. “Hierarchical Ordering of Reticular Networks.”https://doi.org/10.1371/journal.pone.0036715__PLoS One. Public Library of Science, 2012.https://doi.org/10.1371/journal.pone.0036715 .
LibreCat: https://research-explorer.ista.ac.at/record/3159
DOI: 10.1371/journal.pone.0036715

Bendich, Paul, Sergio Cabello, and Herbert Edelsbrunner. “A Point Calculus for Interlevel Set Homology.”https://doi.org/10.1016/j.patrec.2011.10.007__Pattern Recognition Letters. Elsevier, 2012.https://doi.org/10.1016/j.patrec.2011.10.007 .
LibreCat: https://research-explorer.ista.ac.at/record/3310
DOI: 10.1016/j.patrec.2011.10.007

Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.” Journal of Mathematical Physics, Analysis, Geometry. B. Verkin Institute for Low Temperature Physics and Engineering, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/6588
WoS: 000301173600004

Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space for the Shortest Networks.”https://doi.org/10.4213/rm9503__Russian Mathematical Surveys. Russian Academy of Sciences, 2012.https://doi.org/10.4213/rm9503 .
LibreCat: https://research-explorer.ista.ac.at/record/2912
DOI: 10.4213/rm9503

Quadrianto, Novi, Christoph Lampert, and Chao Chen. “The Most Persistent Soft-Clique in a Set of Sampled Graphs.” In Proceedings of the 29th International Conference on Machine Learning, 211–18. ML Research Press, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/3127