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 .