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.

Sheng, Yu, Barbara Cutler, Chao Chen, and Joshua Nasman. “Perceptual Global Illumination Cancellation in Complex Projection Environments.”https://doi.org/10.1111/j.1467-8659.2011.01985.x__Computer Graphics Forum. Wiley-Blackwell, 2011.https://doi.org/10.1111/j.1467-8659.2011.01985.x .

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 .

Edelsbrunner, Herbert, János Pach, and Günter Ziegler. “Letter from the New Editors-in-Chief.”https://doi.org/10.1007/s00454-010-9313-9__Discrete &; Computational Geometry. Springer, 2011.https://doi.org/10.1007/s00454-010-9313-9 .

Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology,”https://doi.org/10.1145/1998196.1998228__207–16. ACM, 2011.https://doi.org/10.1145/1998196.1998228 .

Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Sci. Math. (Szeged). Szegedi Tudományegyetem, 2011.

Edelsbrunner, Herbert, and Michael Kerber. “Covering and Packing with Spheres by Diagonal Distortion in R^n.”https://doi.org/10.1007/978-3-642-19391-0_2__In Rainbow of Computer Science, edited by Cristian Calude, Grzegorz Rozenberg, and Arto Salomaa, 6570:20–35. Dedicated to Hermann Maurer on the Occasion of His 70th Birthday. Springer, 2011.https://doi.org/10.1007/978-3-642-19391-0_2 .

Wang, Bei, Herbert Edelsbrunner, and Dmitriy Morozov. “Computing Elevation Maxima by Searching the Gauss Sphere.”https://doi.org/10.1145/1963190.1970375__Journal of Experimental Algorithmics. ACM, 2011.https://doi.org/10.1145/1963190.1970375 .

Wagner, Hubert, Chao Chen, and Erald Vuçini. “Efficient Computation of Persistent Homology for Cubical Data.”https://doi.org/10.1007/978-3-642-23175-9_7__In Topological Methods in Data Analysis and Visualization II, edited by Ronald Peikert, Helwig Hauser, Hamish Carr, and Raphael Fuchs, 91–106. Springer, 2011.https://doi.org/10.1007/978-3-642-23175-9_7 .

Chen, Chao, and Michael Kerber. “Persistent Homology Computation with a Twist,” 197–200. TU Dortmund, 2011.

Zheng, Ying, Steve Gu, Herbert Edelsbrunner, Carlo Tomasi, and Philip Benfey. Detailed Reconstruction of 3D Plant Root Shape. Proceedings of the IEEE International Conference on Computer Vision. IEEE, 2011.https://doi.org/10.1109/ICCV.2011.6126475 .

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

Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d.

Edelsbrunner, Herbert, Dmitriy Morozov, and Amit Patel. “Quantifying Transversality by Measuring the Robustness of Intersections.”https://doi.org/10.1007/s10208-011-9090-8__Foundations of Computational Mathematics. Springer, 2011.https://doi.org/10.1007/s10208-011-9090-8 .

Bendich, Paul, and John Harer. “Persistent Intersection Homology.”https://doi.org/10.1007/s10208-010-9081-1__Foundations of Computational Mathematics. Springer, 2011.https://doi.org/10.1007/s10208-010-9081-1 .

Chen, Chao, Daniel Freedman, and Christoph Lampert. “Enforcing Topological Constraints in Random Field Image Segmentation.”https://doi.org/10.1109/CVPR.2011.5995503__In CVPR: Computer Vision and Pattern Recognition, 2089–96. IEEE, 2011.https://doi.org/10.1109/CVPR.2011.5995503 .

Gonzalez-Diaz, Rocio, Adrian Ion, Maria Jose Jimenez, and Regina Poyatos. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.”https://doi.org/10.1007/978-3-642-23672-3_35__In Computer Analysis of Images and Patterns, 6854:286–93. Springer Nature, 2011.https://doi.org/10.1007/978-3-642-23672-3_35 .

Artner, Nicole M., Adrian Ion, and Walter G. Kropatsch. “Spatio-Temporal Extraction of Articulated Models in a Graph Pyramid.”https://doi.org/10.1007/978-3-642-20844-7_22__In Graph-Based Representations in Pattern Recognition, edited by Xiaoyi Jiang, Miquel Ferrer, and Andrea Torsello, 6658:215–24. LNIP. Berlin, Heidelberg: Springer, 2011.https://doi.org/10.1007/978-3-642-20844-7_22 .

Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization.”https://doi.org/10.1137/1.9781611973075.129__In Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms, 1594–1604. Society for Industrial and Applied Mathematics, 2010.https://doi.org/10.1137/1.9781611973075.129 .

Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.”https://doi.org/10.1007/978-3-642-18421-5_4__In https://doi.org/10.1007/978-3-642-18421-5_4__Conference Proceedings MCV 2010, 6533:31–42. Springer, 2010.https://doi.org/10.1007/978-3-642-18421-5_4 .

Edelsbrunner, Herbert, Dmitriy Morozov, and Amit Patel. “The Stability of the Apparent Contour of an Orientable 2-Manifold.”https://doi.org/10.1007/978-3-642-15014-2_3__In Topological Data Analysis and Visualization: Theory, Algorithms and Applications, 27–42. Springer, 2010.https://doi.org/10.1007/978-3-642-15014-2_3 .

Bendich, Paul, Herbert Edelsbrunner, Dmitriy Morozov, and Amit Patel. “The Robustness of Level Sets,”https://doi.org/10.1007/978-3-642-15775-2_1__6346:1–10. Springer, 2010.https://doi.org/10.1007/978-3-642-15775-2_1 .

Chatterjee, Krishnendu, Laurent Doyen, Herbert Edelsbrunner, Thomas A Henzinger, and Philippe Rannou. “Mean-Payoff Automaton Expressions,”https://doi.org/10.1007/978-3-642-15375-4_19__6269:269–83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010.https://doi.org/10.1007/978-3-642-15375-4_19 .

Bendich, Paul, Herbert Edelsbrunner, Michael Kerber, and Amit Patel. “Persistent Homology under Non-Uniform Error,”https://doi.org/10.1007/978-3-642-15155-2_2__6281:12–23. Springer, 2010.https://doi.org/10.1007/978-3-642-15155-2_2 .

Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Polygonal Reconstruction from Approximate Offsets,” 12–23. TU Dortmund, 2010.

Bendich, Paul, Herbert Edelsbrunner, and Michael Kerber. “Computing Robustness and Persistence for Images.”https://doi.org/10.1109/TVCG.2010.139__IEEE Transactions of Visualization and Computer Graphics. IEEE, 2010.https://doi.org/10.1109/TVCG.2010.139 .

Edelsbrunner, Herbert, and John Harer. “The Persistent Morse Complex Segmentation of a 3-Manifold,”https://doi.org/10.1007/978-3-642-10470-1_4__5903:36–50. Springer, 2009.https://doi.org/10.1007/978-3-642-10470-1_4 .