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 .

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 .

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 .

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 .

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 .

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 .

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 .

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.

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 .

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.

Pausinger, Florian. “Weak Multipliers for Generalized van Der Corput Sequences.”https://doi.org/10.5802/jtnb.819__Journal de Theorie Des Nombres Des Bordeaux. Université de Bordeaux, 2012.https://doi.org/10.5802/jtnb.819 .

Edelsbrunner, Herbert, Oleg Musin, Alexey Ukhalov, Olga Yakimova, Vladislav Alexeev, Victoriya Bogaevskaya, Andrey Gorohov, and Margarita Preobrazhenskaya. “Fractal and computational geometry for generalizing cartographic objects.” Modeling and Analysis of Information Systems. Russian Academy of Sciences, 2012.

Ion, Adrian, Joao Carreira, and Cristian Sminchisescu. “Probabilistic Joint Image Segmentation and Labeling.” In NIPS Proceedings, 24:1827–35. Neural Information Processing Systems Foundation, 2011.

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Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization.”https://doi.org/10.1007/s00454-010-9322-8__Discrete &; Computational Geometry. Springer, 2011.https://doi.org/10.1007/s00454-010-9322-8 .

Van De Weygaert, Rien, Gert Vegter, Herbert Edelsbrunner, Bernard Jones, Pratyush Pranav, Changbom Park, Wojciech Hellwing, et al. “Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web.”https://doi.org/10.1007/978-3-642-25249-5_3__In Transactions on Computational Science XIV, edited by Marina Gavrilova, Kenneth Tan, and Mir Mostafavi, 6970:60–101. Special Issue on Voronoi Diagrams and Delaunay Triangulation. Springer, 2011.https://doi.org/10.1007/978-3-642-25249-5_3 .

Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing Approximate Offsets.”https://doi.org/10.1145/1998196.1998225__In Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, 187–96. ACM, 2011.https://doi.org/10.1145/1998196.1998225 .

Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.”https://doi.org/10.1007/s00373-011-1020-7__Graphs and Combinatorics. Springer, 2011.https://doi.org/10.1007/s00373-011-1020-7 .

Kerber, Michael, and Michael Sagraloff. “Root Refinement for Real Polynomials,”https://doi.org/10.1145/1993886.1993920__209–16. Springer, 2011.https://doi.org/10.1145/1993886.1993920 .

Berberich, Eric, Michael Hemmer, and Michael Kerber. “A Generic Algebraic Kernel for Non Linear Geometric Applications,”https://doi.org/10.1145/1998196.1998224__179–86. ACM, 2011.https://doi.org/10.1145/1998196.1998224 .

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