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 .