Cultrera di Montesano, Sebastiano, et al. “Dynamically Maintaining the Persistent Homology of Time Series.”10.1137/1.9781611977912.11__Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), edited by David P. Woodruff, Society for Industrial and Applied Mathematics, 2024, pp. 243–95, doi:10.1137/1.9781611977912.11.

Cultrera di Montesano, Sebastiano, et al. “Chromatic Alpha Complexes.” ArXiv, 2212.03128.

Edelsbrunner, Herbert, and Georg F. Osang. “A Simple Algorithm for Higher-Order Delaunay Mosaics and Alpha Shapes.”10.1007/s00453-022-01027-6__Algorithmica, vol. 85, Springer Nature, 2023, pp. 277–95, doi:10.1007/s00453-022-01027-6.

Koehl, Patrice, et al. “Computing the Volume, Surface Area, Mean, and Gaussian Curvatures of Molecules and Their Derivatives.”10.1021/acs.jcim.2c01346__Journal of Chemical Information and Modeling, vol. 63, no. 3, American Chemical Society, 2023, pp. 973–85, doi:10.1021/acs.jcim.2c01346.

Edelsbrunner, Herbert, et al. “On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane.”10.1007/s00454-023-00566-1__Discrete and Computational Geometry, Springer Nature, 2023, doi:10.1007/s00454-023-00566-1.

Biswas, Ranita, et al. “Geometric Characterization of the Persistence of 1D Maps.”10.1007/s41468-023-00126-9__Journal of Applied and Computational Topology, Springer Nature, 2023, doi:10.1007/s41468-023-00126-9.

Biswas, Ranita, et al. “Continuous and Discrete Radius Functions on Voronoi Tessellations and Delaunay Mosaics.”10.1007/s00454-022-00371-2__Discrete and Computational Geometry, vol. 67, Springer Nature, 2022, pp. 811–42, doi:10.1007/s00454-022-00371-2.

Biswas, Ranita, et al. “A Window to the Persistence of 1D Maps. I: Geometric Characterization of Critical Point Pairs.” LIPIcs, Schloss Dagstuhl - Leibniz-Zentrum für Informatik.

Biswas, Ranita, et al. “Depth in Arrangements: Dehn–Sommerville–Euler Relations with Applications.” Leibniz International Proceedings on Mathematics, Schloss Dagstuhl - Leibniz Zentrum für Informatik.

Biswas, Ranita, et al. “On the Size of Chromatic Delaunay Mosaics.” ArXiv, 2212.03121.

Edelsbrunner, Herbert, et al. “A Step in the Delaunay Mosaic of Order K.”10.1007/s00022-021-00577-4__Journal of Geometry, vol. 112, no. 1, 15, Springer Nature, 2021, doi:10.1007/s00022-021-00577-4.

Edelsbrunner, Herbert, et al. “The Density Fingerprint of a Periodic Point Set.”10.4230/LIPIcs.SoCG.2021.32__37th International Symposium on Computational Geometry (SoCG 2021), vol. 189, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16, doi:10.4230/LIPIcs.SoCG.2021.32.

Biswas, Ranita, et al. “Counting Cells of Order-k Voronoi Tessellations in d<sup>3</sup> with Morse Theory.”10.4230/LIPIcs.SoCG.2021.16__Leibniz International Proceedings in Informatics, vol. 189, 16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.16.

Edelsbrunner, Herbert, and Georg F. Osang. “The Multi-Cover Persistence of Euclidean Balls.”10.1007/s00454-021-00281-9__Discrete and Computational Geometry, vol. 65, Springer Nature, 2021, pp. 1296–1313, doi:10.1007/s00454-021-00281-9.

Akopyan, Arseniy, et al. “The Beauty of Random Polytopes Inscribed in the 2-Sphere.”10.1080/10586458.2021.1980459__Experimental Mathematics, Taylor and Francis, 2021, pp. 1–15, doi:10.1080/10586458.2021.1980459.

Osang, Georg F., et al. “Topological Signatures and Stability of Hexagonal Close Packing and Barlow Stackings.”10.1039/d1sm00774b__Soft Matter, vol. 17, no. 40, Royal Society of Chemistry , 2021, pp. 9107–15, doi:10.1039/d1sm00774b.

Edelsbrunner, Herbert, et al. “Radius Functions on Poisson–Delaunay Mosaics and Related Complexes Experimentally.”10.1007/978-3-030-43408-3_8__Topological Data Analysis, vol. 15, Springer Nature, 2020, pp. 181–218, doi:10.1007/978-3-030-43408-3_8.

Edelsbrunner, Herbert, et al. “Topological Data Analysis in Information Space.”10.20382/jocg.v11i2a7__Journal of Computational Geometry, vol. 11, no. 2, Carleton University, 2020, pp. 162–82, doi:10.20382/jocg.v11i2a7.

Edelsbrunner, Herbert, and Anton Nikitenko. “Weighted Poisson–Delaunay Mosaics.”10.1137/S0040585X97T989726__Theory of Probability and Its Applications, vol. 64, no. 4, SIAM, 2020, pp. 595–614, doi:10.1137/S0040585X97T989726.

Edelsbrunner, Herbert, and Katharina Ölsböck. “Tri-Partitions and Bases of an Ordered Complex.”10.1007/s00454-020-00188-x__Discrete and Computational Geometry, vol. 64, Springer Nature, 2020, pp. 759–75, doi:10.1007/s00454-020-00188-x.

Akopyan, Arseniy, and Herbert Edelsbrunner. “The Weighted Mean Curvature Derivative of a Space-Filling Diagram.”10.1515/cmb-2020-0100__Computational and Mathematical Biophysics, vol. 8, no. 1, De Gruyter, 2020, pp. 51–67, doi:10.1515/cmb-2020-0100.

Akopyan, Arseniy, and Herbert Edelsbrunner. “The Weighted Gaussian Curvature Derivative of a Space-Filling Diagram.”10.1515/cmb-2020-0101__Computational and Mathematical Biophysics, vol. 8, no. 1, De Gruyter, 2020, pp. 74–88, doi:10.1515/cmb-2020-0101.

Bauer, U., et al. “cech-Delaunay Gradient Flow and Homology Inference for Self-Maps.”10.1007/s41468-020-00058-8__Journal of Applied and Computational Topology, vol. 4, no. 4, Springer Nature, 2020, pp. 455–80, doi:10.1007/s41468-020-00058-8.

Edelsbrunner, Herbert, et al. “Topological Data Analysis in Information Space.”10.4230/LIPICS.SOCG.2019.31__35th International Symposium on Computational Geometry, vol. 129, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2019, p. 31:1-31:14, doi:10.4230/LIPICS.SOCG.2019.31.

Pranav, Pratyush, et al. “Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background.”10.1051/0004-6361/201834916__Astronomy and Astrophysics, vol. 627, 3, EDP Sciences, 2019, doi:10.1051/0004-6361/201834916.

Edelsbrunner, Herbert, and Anton Nikitenko. “Poisson–Delaunay Mosaics of Order K.”10.1007/s00454-018-0049-2__Discrete and Computational Geometry, vol. 62, no. 4, Springer, 2019, pp. 865–878, doi:10.1007/s00454-018-0049-2.

Edelsbrunner, Herbert, and Katharina Ölsböck. “Holes and Dependences in an Ordered Complex.”10.1016/j.cagd.2019.06.003__Computer Aided Geometric Design, vol. 73, Elsevier, 2019, pp. 1–15, doi:10.1016/j.cagd.2019.06.003.

Edelsbrunner, Herbert, et al. Smallest Enclosing Spheres and Chernoff Points in Bregman Geometry. Vol. 99, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, p. 35:1-35:13, doi:10.4230/LIPIcs.SoCG.2018.35.

Edelsbrunner, Herbert, and Georg F. Osang. The Multi-Cover Persistence of Euclidean Balls. Vol. 99, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, doi:10.4230/LIPIcs.SoCG.2018.34.

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “Multiple Covers with Balls I: Inclusion–Exclusion.”10.1016/j.comgeo.2017.06.014__Computational Geometry: Theory and Applications, vol. 68, Elsevier, 2018, pp. 119–33, doi:10.1016/j.comgeo.2017.06.014.

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “On the Optimality of the FCC Lattice for Soft Sphere Packing.”10.1137/16M1097201__SIAM J Discrete Math, vol. 32, no. 1, Society for Industrial and Applied Mathematics , 2018, pp. 750–82, doi:10.1137/16M1097201.

Edelsbrunner, Herbert, and Anton Nikitenko. “Random Inscribed Polytopes Have Similar Radius Functions as Poisson-Delaunay Mosaics.”10.1214/18-AAP1389__Annals of Applied Probability, vol. 28, no. 5, Institute of Mathematical Statistics, 2018, pp. 3215–38, doi:10.1214/18-AAP1389.

Edelsbrunner, Herbert, and Hubert Wagner. Topological Data Analysis with Bregman Divergences. Vol. 77, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, pp. 391–3916, doi:10.4230/LIPIcs.SoCG.2017.39.

Edelsbrunner, Herbert, et al. “Expected Sizes of Poisson Delaunay Mosaics and Their Discrete Morse Functions.”10.1017/apr.2017.20__Advances in Applied Probability, vol. 49, no. 3, Cambridge University Press, 2017, pp. 745–67, doi:10.1017/apr.2017.20.

Edelsbrunner, Herbert, et al. “The Voronoi Functional Is Maximized by the Delaunay Triangulation in the Plane.”10.1007/s00493-016-3308-y__Combinatorica, vol. 37, no. 5, Springer, 2017, pp. 887–910, doi:10.1007/s00493-016-3308-y.

Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of cech and Delaunay Complexes.”10.1090/tran/6991__Transactions of the American Mathematical Society, vol. 369, no. 5, American Mathematical Society, 2017, pp. 3741–62, doi:10.1090/tran/6991.

Pranav, Pratyush, et al. “The Topology of the Cosmic Web in Terms of Persistent Betti Numbers.”10.1093/mnras/stw2862__Monthly Notices of the Royal Astronomical Society, vol. 465, no. 4, Oxford University Press, 2017, pp. 4281–310, doi:10.1093/mnras/stw2862.

Edelsbrunner, Herbert, and Patrice Koehl. “Computational Topology for Structural Molecular Biology.”10.1201/9781315119601__Handbook of Discrete and Computational Geometry, Third Edition, edited by Csaba Toth et al., Taylor &; Francis, 2017, pp. 1709–35, doi:10.1201/9781315119601.

Edelsbrunner, Herbert, and Mabel Iglesias Ham. “Multiple Covers with Balls II: Weighted Averages.”10.1016/j.endm.2016.09.030__Electronic Notes in Discrete Mathematics, vol. 54, Elsevier, 2016, pp. 169–74, doi:10.1016/j.endm.2016.09.030.

Dunaeva, Olga, et al. “The Classification of Endoscopy Images with Persistent Homology.”10.1016/j.patrec.2015.12.012__Pattern Recognition Letters, vol. 83, no. 1, Elsevier, 2016, pp. 13–22, doi:10.1016/j.patrec.2015.12.012.

Edelsbrunner, Herbert, and Florian Pausinger. “Approximation and Convergence of the Intrinsic Volume.”10.1016/j.aim.2015.10.004__Advances in Mathematics, vol. 287, Academic Press, 2016, pp. 674–703, doi:10.1016/j.aim.2015.10.004.

Edelsbrunner, Herbert, et al. “Relaxed Disk Packing.” Proceedings of the 27th Canadian Conference on Computational Geometry, vol. 2015–August, Queen’s University, 2015, pp. 128–35.

Dunaeva, Olga, et al. “The Classification of Endoscopy Images with Persistent Homology.”10.1109/SYNASC.2014.81__Proceedings - 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, IEEE, 2015, p. 7034731, doi:10.1109/SYNASC.2014.81.

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

Cao, Thanhtung, et al. “Triangulations from Topologically Correct Digital Voronoi Diagrams.”10.1016/j.comgeo.2015.04.001__Computational Geometry, vol. 48, no. 7, Elsevier, 2015, pp. 507–19, doi:10.1016/j.comgeo.2015.04.001.

Edelsbrunner, Herbert, et al. “The Persistent Homology of a Self-Map.”10.1007/s10208-014-9223-y__Foundations of Computational Mathematics, vol. 15, no. 5, Springer, 2015, pp. 1213–44, doi:10.1007/s10208-014-9223-y.

Symonova, Olga, et al. “DynamicRoots: A Software Platform for the Reconstruction and Analysis of Growing Plant Roots.”10.1371/journal.pone.0127657__PLoS One, vol. 10, no. 6, e0127657, Public Library of Science, 2015, doi:10.1371/journal.pone.0127657.

Symonova, Olga, et al. Root Traits Computed by DynamicRoots for the Maize Root Shown in Fig 2. Public Library of Science, 2015, doi:10.1371/journal.pone.0127657.s001.

Dolbilin, Nikolai, et al. “Functionals on Triangulations of Delaunay Sets.”10.17323/1609-4514-2014-14-3-491-504__Moscow Mathematical Journal, vol. 14, no. 3, Independent University of Moscow, 2014, pp. 491–504, doi:10.17323/1609-4514-2014-14-3-491-504.

Alexeev, V. V., et al. “An Algorithm for Cartographic Generalization That Preserves Global Topology.”10.1007/s10958-014-2165-8__Journal of Mathematical Sciences, vol. 203, no. 6, Springer, 2014, pp. 754–60, doi:10.1007/s10958-014-2165-8.

Bauer, Ulrich, and Herbert Edelsbrunner. “The Morse Theory of cech and Delaunay Filtrations.”10.1145/2582112.2582167__Proceedings of the Annual Symposium on Computational Geometry, ACM, 2014, pp. 484–90, doi:10.1145/2582112.2582167.

Edelsbrunner, Herbert, and Salman Parsa. “On the Computational Complexity of Betti Numbers Reductions from Matrix Rank.”10.1137/1.9781611973402.11__Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, SIAM, 2014, pp. 152–60, doi:10.1137/1.9781611973402.11.

Edelsbrunner, Herbert, and Dmitriy Morozovy. Persistent Homology: Theory and Practice. European Mathematical Society Publishing House, 2014, pp. 31–50, doi:10.4171/120-1/3.

Edelsbrunner, Herbert. A Short Course in Computational Geometry and Topology. 1st ed., Springer Nature, 2014, doi:10.1007/978-3-319-05957-0.

Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.”10.1007/s10851-013-0468-x__Journal of Mathematical Imaging and Vision, vol. 50, no. 1, Springer, 2014, pp. 164–77, doi:10.1007/s10851-013-0468-x.

Topp, Christopher, et al. “D Phenotyping and Quantitative Trait Locus Mapping Identify Core Regions of the Rice Genome Controlling Root Architecture.”10.1073/pnas.1304354110__PNAS, vol. 110, no. 18, National Academy of Sciences, 2013, pp. 95–704, doi:10.1073/pnas.1304354110.

Edelsbrunner, Herbert, and Florian Pausinger. “Stable Length Estimates of Tube-like Shapes.”10.1007/978-3-642-37067-0__17th IAPR International Conference on Discrete Geometry for Computer Imagery, vol. 7749, Springer, 2013, pp. XV–XIX, doi:10.1007/978-3-642-37067-0.

Bendich, Paul, et al. “Homology and Robustness of Level and Interlevel Sets.”10.4310/HHA.2013.v15.n1.a3__Homology, Homotopy and Applications, vol. 15, no. 1, International Press, 2013, pp. 51–72, doi:10.4310/HHA.2013.v15.n1.a3.

Fang, Suqin, et al. “Genotypic Recognition and Spatial Responses by Rice Roots.”10.1073/pnas.1222821110__PNAS, vol. 110, no. 7, National Academy of Sciences, 2013, pp. 2670–75, doi:10.1073/pnas.1222821110.

Kerber, Michael, and Herbert Edelsbrunner. “D Kinetic Alpha Complexes and Their Implementation.”10.1137/1.9781611972931.6__2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77, doi:10.1137/1.9781611972931.6.

Edelsbrunner, Herbert, et al. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”10.1007/s00454-013-9517-x__Discrete &; Computational Geometry, vol. 49, no. 4, Springer, 2013, pp. 797–822, doi:10.1007/s00454-013-9517-x.

Edelsbrunner, Herbert. “Persistent Homology in Image Processing.”10.1007/978-3-642-38221-5_19__Graph-Based Representations in Pattern Recognition, vol. 7877, Springer Nature, 2013, pp. 182–83, doi:10.1007/978-3-642-38221-5_19.

Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space of Steiner Minimal Trees.”10.1070/RM2012v067n06ABEH004820__Russian Mathematical Surveys, vol. 67, no. 6, IOP Publishing Ltd., 2012, pp. 1167–68, doi:10.1070/RM2012v067n06ABEH004820.

Edelsbrunner, Herbert, and Olga Symonova. The Adaptive Topology of a Digital Image. IEEE, 2012, pp. 41–48, doi:10.1109/ISVD.2012.11.

Edelsbrunner, Herbert, et al. “Open Problems in Discrete and Computational Geometry.” Automatic Control and Computer Sciences, vol. in print, Springer, 2012.

Dolbilin, Nikolai, et al. “On the Optimality of Functionals over Triangulations of Delaunay Sets.”10.1070/RM2012v067n04ABEH004807__Russian Mathematical Surveys, vol. 67, no. 4, IOP Publishing, 2012, pp. 781–83, doi:10.1070/RM2012v067n04ABEH004807.

Edelsbrunner, Herbert, and Michael Kerber. “Alexander Duality for Functions: The Persistent Behavior of Land and Water and Shore.”10.1145/2261250.2261287__Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–58, doi:10.1145/2261250.2261287.

Edelsbrunner, Herbert, et al. “Add Isotropic Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”10.1145/2261250.2261265__Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 91–100, doi:10.1145/2261250.2261265.

Edelsbrunner, Herbert, and Michael Kerber. “Dual Complexes of Cubical Subdivisions of dn.”10.1007/s00454-011-9382-4__Discrete &; Computational Geometry, vol. 47, no. 2, Springer, 2012, pp. 393–414, doi:10.1007/s00454-011-9382-4.

Mileyko, Yuriy, et al. “Hierarchical Ordering of Reticular Networks.”10.1371/journal.pone.0036715__PLoS One, vol. 7, no. 6, e36715, Public Library of Science, 2012, doi:10.1371/journal.pone.0036715.

Bendich, Paul, et al. “A Point Calculus for Interlevel Set Homology.”10.1016/j.patrec.2011.10.007__Pattern Recognition Letters, vol. 33, no. 11, Elsevier, 2012, pp. 1436–44, doi:10.1016/j.patrec.2011.10.007.

Edelsbrunner, Herbert, and Nataliya Strelkova. “On the Configuration Space for the Shortest Networks.”10.4213/rm9503__Russian Mathematical Surveys, vol. 67, no. 6, Russian Academy of Sciences, 2012, pp. 1167–1168, doi:10.4213/rm9503.

Edelsbrunner, Herbert, et al. “Fractal and computational geometry for generalizing cartographic objects.” Modeling and Analysis of Information Systems, vol. 19, no. 6, Russian Academy of Sciences, 2012, pp. 152–60.

Van De Weygaert, Rien, et al. “Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web.”10.1007/978-3-642-25249-5_3__Transactions on Computational Science XIV, edited by Marina Gavrilova et al., vol. 6970, Springer, 2011, pp. 60–101, doi:10.1007/978-3-642-25249-5_3.

Edelsbrunner, Herbert, et al. “Letter from the New Editors-in-Chief.”10.1007/s00454-010-9313-9__Discrete &; Computational Geometry, vol. 45, no. 1, Springer, 2011, pp. 1–2, doi:10.1007/s00454-010-9313-9.

Edelsbrunner, Herbert, and Michael Kerber. “Covering and Packing with Spheres by Diagonal Distortion in R^n.”10.1007/978-3-642-19391-0_2__Rainbow of Computer Science, edited by Cristian Calude et al., vol. 6570, Springer, 2011, pp. 20–35, doi:10.1007/978-3-642-19391-0_2.

Wang, Bei, et al. “Computing Elevation Maxima by Searching the Gauss Sphere.”10.1145/1963190.1970375__Journal of Experimental Algorithmics, vol. 16, no. 2.2, ACM, 2011, pp. 1–13, doi:10.1145/1963190.1970375.

Zheng, Ying, et al. “Detailed Reconstruction of 3D Plant Root Shape.”10.1109/ICCV.2011.6126475__Proceedings of the IEEE International Conference on Computer Vision, 6126475, IEEE, 2011, doi:10.1109/ICCV.2011.6126475.

Chen, Chao, and Herbert Edelsbrunner. “Diffusion Runs Low on Persistence Fast.”10.1109/ICCV.2011.6126271__Proceedings of the IEEE International Conference on Computer Vision, 6126271, IEEE, 2011, doi:10.1109/ICCV.2011.6126271.

Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, edited by R van de Weygaert et al., Springer.

Edelsbrunner, Herbert, et al. “Quantifying Transversality by Measuring the Robustness of Intersections.”10.1007/s10208-011-9090-8__Foundations of Computational Mathematics, vol. 11, no. 3, Springer, 2011, pp. 345–61, doi:10.1007/s10208-011-9090-8.

Edelsbrunner, Herbert, et al. “The Stability of the Apparent Contour of an Orientable 2-Manifold.”10.1007/978-3-642-15014-2_3__Topological Data Analysis and Visualization: Theory, Algorithms and Applications, Springer, 2010, pp. 27–42, doi:10.1007/978-3-642-15014-2_3.

Bendich, Paul, et al. The Robustness of Level Sets. Vol. 6346, Springer, 2010, pp. 1–10, doi:10.1007/978-3-642-15775-2_1.

Edelsbrunner, Herbert, and John Harer. Computational Topology: An Introduction. Vol. 69, American Mathematical Society, 2010, doi:10.1090/mbk/069.

Cohen Steiner, David, et al. “Lipschitz Functions Have L_p-Stable Persistence.”10.1007/s10208-010-9060-6__Foundations of Computational Mathematics, vol. 10, no. 2, Springer, 2010, pp. 127–39, doi:10.1007/s10208-010-9060-6.

Chatterjee, Krishnendu, et al. Mean-Payoff Automaton Expressions. Vol. 6269, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 269–83, doi:10.1007/978-3-642-15375-4_19.

Bendich, Paul, et al. Persistent Homology under Non-Uniform Error. Vol. 6281, Springer, 2010, pp. 12–23, doi:10.1007/978-3-642-15155-2_2.

Bendich, Paul, et al. “Computing Robustness and Persistence for Images.”10.1109/TVCG.2010.139__IEEE Transactions of Visualization and Computer Graphics, vol. 16, no. 6, IEEE, 2010, pp. 1251–60, doi:10.1109/TVCG.2010.139.

Attali, Dominique, et al. “Stability and Computation of Medial Axes: A State-of-the-Art Report.”10.1007/b106657_6__Mathematical Foundations of Scientific Visualization, Computer Graphics, and Massive Data Exploration, Springer, 2009, pp. 109–25, doi:10.1007/b106657_6.

Edelsbrunner, Herbert, and John Harer. The Persistent Morse Complex Segmentation of a 3-Manifold. Vol. 5903, Springer, 2009, pp. 36–50, doi:10.1007/978-3-642-10470-1_4.

Cohen Steiner, David, et al. “Extending Persistence Using Poincare and Lefschetz Duality.”10.1007/s10208-008-9027-z__Foundations of Computational Mathematics, vol. 9, no. 1, Springer, 2009, pp. 79–103, doi:10.1007/s10208-008-9027-z.

Cohen Steiner, David, et al. Persistent Homology for Kernels, Images, and Cokernels. SIAM, 2009, pp. 1011–20.

Edelsbrunner, Herbert, et al. Reeb Spaces of Piecewise Linear Mappings. ACM, 2008, pp. 242–50, doi:10.1145/1377676.1377720.

Biasotti, Silvia, et al. “Skeletal Structures.”10.1007/978-3-540-33265-7_5__Shape Analysis and Structuring, Springer, 2008, pp. 145–83, doi:10.1007/978-3-540-33265-7_5.

Dequéant, Mary, et al. “Comparison of Pattern Detection Methods in Microarray Time Series of the Segmentation Clock.”10.1371/journal.pone.0002856__PLoS One, vol. 3, no. 8, Public Library of Science, 2008, doi:10.1371/journal.pone.0002856.

Edelsbrunner, Herbert, et al. “Time-Varying Reeb Graphs for Continuous Space-Time Data.”10.1016/j.comgeo.2007.11.001__Computational Geometry: Theory and Applications, vol. 41, no. 3, Elsevier, 2008, pp. 149–66, doi:10.1016/j.comgeo.2007.11.001.

Edelsbrunner, Herbert, and John Harer. “Persistent Homology - a Survey.” Surveys on Discrete and Computational Geometry: Twenty Years Later, American Mathematical Society, 2008, pp. 257–82.

Headd, Jeffrey, et al. “Protein-Protein Interfaces: Properties, Preferences, and Projections.”10.1021/pr070018+__Journal of Proteome Research, vol. 6, no. 7, American Chemical Society, 2007, pp. 2576–86, doi:10.1021/pr070018+.

Attali, Dominique, et al. Alpha-Beta Witness Complexes. Vol. 4619, Springer, 2007, pp. 386–97, doi:10.1007/978-3-540-73951-7_34.

Bendich, Paul, et al. Inferring Local Homology from Sampled Stratified Spaces. IEEE, 2007, pp. 536–46, doi:10.1109/FOCS.2007.33.