Edelsbrunner, Herbert, and Hubert Wagner. “Topological Data Analysis with Bregman Divergences,”https://doi.org/10.4230/LIPIcs.SoCG.2017.39__77:391–3916. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.https://doi.org/10.4230/LIPIcs.SoCG.2017.39 .

Akopyan, Arseniy, and Roman Karasev. “A Tight Estimate for the Waist of the Ball .”https://doi.org/10.1112/blms.12062__Bulletin of the London Mathematical Society. Wiley-Blackwell, 2017.https://doi.org/10.1112/blms.12062 .

Edelsbrunner, Herbert, Anton Nikitenko, and Matthias Reitzner. “Expected Sizes of Poisson Delaunay Mosaics and Their Discrete Morse Functions.”https://doi.org/10.1017/apr.2017.20__Advances in Applied Probability. Cambridge University Press, 2017.https://doi.org/10.1017/apr.2017.20 .

Nikitenko, Anton. “Discrete Morse Theory for Random Complexes .”https://doi.org/10.15479/AT:ISTA:th_873__Institute of Science and Technology Austria, 2017.https://doi.org/10.15479/AT:ISTA:th_873 .

Bauer, Ulrich, Michael Kerber, Jan Reininghaus, and Hubert Wagner. “Phat - Persistent Homology Algorithms Toolbox.”https://doi.org/10.1016/j.jsc.2016.03.008__Journal of Symbolic Computation. Academic Press, 2017.https://doi.org/10.1016/j.jsc.2016.03.008 .

Akopyan, Arseniy, Imre Bárány, and Sinai Robins. “Algebraic Vertices of Non-Convex Polyhedra.”https://doi.org/10.1016/j.aim.2016.12.026__Advances in Mathematics. Academic Press, 2017.https://doi.org/10.1016/j.aim.2016.12.026 .

Edelsbrunner, Herbert, Alexey Glazyrin, Oleg Musin, and Anton Nikitenko. “The Voronoi Functional Is Maximized by the Delaunay Triangulation in the Plane.”https://doi.org/10.1007/s00493-016-3308-y__Combinatorica. Springer, 2017.https://doi.org/10.1007/s00493-016-3308-y .

Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of cech and Delaunay Complexes.”https://doi.org/10.1090/tran/6991__Transactions of the American Mathematical Society. American Mathematical Society, 2017.https://doi.org/10.1090/tran/6991 .

Chatterjee, Krishnendu, and Georg F Osang. “Pushdown Reachability with Constant Treewidth.”https://doi.org/10.1016/j.ipl.2017.02.003__Information Processing Letters. Elsevier, 2017.https://doi.org/10.1016/j.ipl.2017.02.003 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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.

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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.

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 .

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.

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 .

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 .

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 .

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 .

Edelsbrunner, Herbert. “Shape, Homology, Persistence, and Stability.” In 23rd International Symposium, Vol. 9411. Springer Nature, 2015.

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

Pausinger, Florian. “On the Approximation of Intrinsic Volumes.” Institute of Science and Technology Austria, 2015.

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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.

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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.

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .

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 .