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.
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DOI: 10.4310/HHA.2013.v15.n1.a3
arXiv: 1102.3389

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.
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PMID: 23362379

Chen, Chao, et al. Computing the M Most Probable Modes of a Graphical Model. Vol. 31, JMLR, 2013, pp. 161–69.
LibreCat: https://research-explorer.ista.ac.at/record/2901

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.
LibreCat: https://research-explorer.ista.ac.at/record/2906
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.
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

Chen, Chao, and Michael Kerber. “An Output Sensitive Algorithm for Persistent Homology.”10.1016/j.comgeo.2012.02.010__Computational Geometry: Theory and Applications, vol. 46, no. 4, Elsevier, 2013, pp. 435–47, doi:10.1016/j.comgeo.2012.02.010.
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DOI: 10.1016/j.comgeo.2012.02.010

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.
LibreCat: https://research-explorer.ista.ac.at/record/10897
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.
LibreCat: https://research-explorer.ista.ac.at/record/2849
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.
LibreCat: https://research-explorer.ista.ac.at/record/2903
DOI: 10.1109/ISVD.2012.11

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.
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DOI: 10.1070/RM2012v067n04ABEH004807

Zankl, Georg, et al. Interactive Labeling of Image Segmentation Hierarchies. Vol. 7476, Springer, 2012, pp. 11–20, doi:10.1007/978-3-642-32717-9_2.
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DOI: 10.1007/978-3-642-32717-9_2

Brown, Gavin, et al. “Fano 3 Folds in Codimension 4 Tom and Jerry Part I.”10.1112/S0010437X11007226__Compositio Mathematica, vol. 148, no. 4, Cambridge University Press, 2012, pp. 1171–94, doi:10.1112/S0010437X11007226.
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DOI: 10.1112/S0010437X11007226

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.
LibreCat: https://research-explorer.ista.ac.at/record/3133
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.
LibreCat: https://research-explorer.ista.ac.at/record/3134
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.
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DOI: 10.1007/s00454-011-9382-4

Ion, Adrian, et al. Image Segmentation by Figure-Ground Composition into Maximal Cliques. 6126486, IEEE, 2012, doi:10.1109/ICCV.2011.6126486.
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DOI: 10.1109/ICCV.2011.6126486

Berberich, Eric, et al. “Deconstructing Approximate Offsets.”10.1007/s00454-012-9441-5__Discrete &; Computational Geometry, vol. 48, no. 4, Springer, 2012, pp. 964–89, doi:10.1007/s00454-012-9441-5.
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DOI: 10.1007/s00454-012-9441-5
arXiv: 1109.2158

Kerber, Michael, and Michael Sagraloff. “A Worst Case Bound for Topology Computation of Algebraic Curves.”10.1016/j.jsc.2011.11.001__10.1016/j.jsc.2011.11.001__Journal of Symbolic Computation, vol. 47, no. 3, Elsevier, 2012, pp. 239–58, doi:10.1016/j.jsc.2011.11.001.
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Busaryev, Oleksiy, et al. Annotating Simplices with a Homology Basis and Its Applications. Vol. 7357, Springer, 2012, pp. 189–200, doi:10.1007/978-3-642-31155-0_17.
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DOI: 10.1007/978-3-642-31155-0_17
arXiv: 1107.3793

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.
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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.
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Pausinger, Florian. “Elementary Solutions of the Bernstein Problem on Two Intervals.” Journal of Mathematical Physics, Analysis, Geometry, vol. 8, no. 1, B. Verkin Institute for Low Temperature Physics and Engineering, 2012, pp. 63–78.
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WoS: 000301173600004

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.
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DOI: 10.4213/rm9503

Quadrianto, Novi, et al. “The Most Persistent Soft-Clique in a Set of Sampled Graphs.” Proceedings of the 29th International Conference on Machine Learning, ML Research Press, 2012, pp. 211–18.
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Pausinger, Florian. “Weak Multipliers for Generalized van Der Corput Sequences.”10.5802/jtnb.819__Journal de Theorie Des Nombres Des Bordeaux, vol. 24, no. 3, Université de Bordeaux, 2012, pp. 729–49, doi:10.5802/jtnb.819.
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DOI: 10.5802/jtnb.819

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.
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Ion, Adrian, et al. “Probabilistic Joint Image Segmentation and Labeling.” NIPS Proceedings, vol. 24, Neural Information Processing Systems Foundation, 2011, pp. 1827–35.
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Sheng, Yu, et al. “Perceptual Global Illumination Cancellation in Complex Projection Environments.”10.1111/j.1467-8659.2011.01985.x__Computer Graphics Forum, vol. 30, no. 4, Wiley-Blackwell, 2011, pp. 1261–68, doi:10.1111/j.1467-8659.2011.01985.x.
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DOI: 10.1111/j.1467-8659.2011.01985.x

Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization.”10.1007/s00454-010-9322-8__Discrete &; Computational Geometry, vol. 45, no. 3, Springer, 2011, pp. 425–48, doi:10.1007/s00454-010-9322-8.
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DOI: 10.1007/s00454-010-9322-8

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.
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DOI: 10.1007/978-3-642-25249-5_3
arXiv: 1306.3640

Berberich, Eric, et al. “Deconstructing Approximate Offsets.”10.1145/1998196.1998225__Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–96, doi:10.1145/1998196.1998225.
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DOI: 10.1145/1998196.1998225

Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic Hypersurfaces.”10.1007/s00373-011-1020-7__Graphs and Combinatorics, vol. 27, no. 3, Springer, 2011, pp. 419–30, doi:10.1007/s00373-011-1020-7.
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DOI: 10.1007/s00373-011-1020-7

Kerber, Michael, and Michael Sagraloff. Root Refinement for Real Polynomials. Springer, 2011, pp. 209–16, doi:10.1145/1993886.1993920.
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DOI: 10.1145/1993886.1993920
arXiv: 1104.1362

Berberich, Eric, et al. A Generic Algebraic Kernel for Non Linear Geometric Applications. ACM, 2011, pp. 179–86, doi:10.1145/1998196.1998224.
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DOI: 10.1145/1998196.1998224

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.
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DOI: 10.1007/s00454-010-9313-9

Chen, Chao, and Michael Kerber. An Output Sensitive Algorithm for Persistent Homology. ACM, 2011, pp. 207–16, doi:10.1145/1998196.1998228.
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Fasy, Brittany Terese. “The Difference in Length of Curves in R^n.” Acta Sci. Math. (Szeged), vol. 77, no. 1–2, Szegedi Tudományegyetem, 2011, pp. 359–67.
LibreCat: https://research-explorer.ista.ac.at/record/3781

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.
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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.
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DOI: 10.1145/1963190.1970375

Wagner, Hubert, et al. “Efficient Computation of Persistent Homology for Cubical Data.”10.1007/978-3-642-23175-9_7__Topological Methods in Data Analysis and Visualization II, edited by Ronald Peikert et al., Springer, 2011, pp. 91–106, doi:10.1007/978-3-642-23175-9_7.
LibreCat: https://research-explorer.ista.ac.at/record/3271
DOI: 10.1007/978-3-642-23175-9_7

Chen, Chao, and Michael Kerber. Persistent Homology Computation with a Twist. TU Dortmund, 2011, pp. 197–200.
LibreCat: https://research-explorer.ista.ac.at/record/3270

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.
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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.
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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.
LibreCat: https://research-explorer.ista.ac.at/record/3311

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.
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DOI: 10.1007/s10208-011-9090-8

Bendich, Paul, and John Harer. “Persistent Intersection Homology.”10.1007/s10208-010-9081-1__Foundations of Computational Mathematics, vol. 11, no. 3, Springer, 2011, pp. 305–36, doi:10.1007/s10208-010-9081-1.
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DOI: 10.1007/s10208-010-9081-1

Chen, Chao, et al. “Enforcing Topological Constraints in Random Field Image Segmentation.”10.1109/CVPR.2011.5995503__CVPR: Computer Vision and Pattern Recognition, IEEE, 2011, pp. 2089–96, doi:10.1109/CVPR.2011.5995503.
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DOI: 10.1109/CVPR.2011.5995503

Gonzalez-Diaz, Rocio, et al. “Incremental-Decremental Algorithm for Computing AT-Models and Persistent Homology.”10.1007/978-3-642-23672-3_35__Computer Analysis of Images and Patterns, vol. 6854, Springer Nature, 2011, pp. 286–93, doi:10.1007/978-3-642-23672-3_35.
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DOI: 10.1007/978-3-642-23672-3_35

Artner, Nicole M., et al. “Spatio-Temporal Extraction of Articulated Models in a Graph Pyramid.”10.1007/978-3-642-20844-7_22__Graph-Based Representations in Pattern Recognition, edited by Xiaoyi Jiang et al., vol. 6658, Springer, 2011, pp. 215–24, doi:10.1007/978-3-642-20844-7_22.
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DOI: 10.1007/978-3-642-20844-7_22

Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization.”10.1137/1.9781611973075.129__Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2010, pp. 1594–604, doi:10.1137/1.9781611973075.129.
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DOI: 10.1137/1.9781611973075.129

Chen, Chao, and Daniel Freedman. “Topology Noise Removal for Curve  and Surface Evolution.”10.1007/978-3-642-18421-5_4__10.1007/978-3-642-18421-5_4__Conference Proceedings MCV 2010, vol. 6533, Springer, 2010, pp. 31–42, doi:10.1007/978-3-642-18421-5_4.
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DOI: 10.1007/978-3-642-18421-5_4

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.
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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.
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DOI: 10.1007/978-3-642-15775-2_1

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.
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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.
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DOI: 10.1007/978-3-642-15155-2_2

Berberich, Eric, et al. Polygonal Reconstruction from Approximate Offsets. TU Dortmund, 2010, pp. 12–23.
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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.
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DOI: 10.1109/TVCG.2010.139

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.
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DOI: 10.1007/978-3-642-10470-1_4