Computing all maps into a sphere
M. cadek, M. Krcál, J. Matousek, F. Sergeraert, L. Vokínek, U. Wagner, Journal of the ACM 61 (2014).
LibreCat: https://research-explorer.ista.ac.at/record/2184
DOI: 10.1145/2597629

Persistent homology: Theory and practice
H. Edelsbrunner, D. Morozovy, in:, European Mathematical Society Publishing House, 2014, pp. 31–50.
LibreCat: https://research-explorer.ista.ac.at/record/2905
DOI: 10.4171/120-1/3

Planar matchings for weighted straight skeletons
T. Biedl, S. Huber, P. Palfrader, in:, 25th International Symposium, ISAAC 2014, Springer Nature, 2014, pp. 117–127.
LibreCat: https://research-explorer.ista.ac.at/record/10892
DOI: 10.1007/978-3-319-13075-0_10

A Short Course in Computational Geometry and Topology
H. Edelsbrunner, A Short Course in Computational Geometry and Topology, 1st ed., Springer Nature, Cham, 2014.
LibreCat: https://research-explorer.ista.ac.at/record/6853
DOI: 10.1007/978-3-319-05957-0

Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature
V. Zobel, J. Reininghaus, I. Hotz, in:, Topological Methods in Data Analysis and Visualization III , Springer, 2014, pp. 249–262.
LibreCat: https://research-explorer.ista.ac.at/record/10886
DOI: 10.1007/978-3-319-04099-8_16

Notes on the simplification of the Morse-Smale complex
D. Günther, J. Reininghaus, H.-P. Seidel, T. Weinkauf, in:, P.-T. Bremer, I. Hotz, V. Pascucci, R. Peikert (Eds.), Topological Methods in Data Analysis and Visualization III., Springer Nature, Cham, 2014, pp. 135–150.
LibreCat: https://research-explorer.ista.ac.at/record/10817
DOI: 10.1007/978-3-319-04099-8_9

Stable length estimates of tube-like shapes
H. Edelsbrunner, F. Pausinger, Journal of Mathematical Imaging and Vision 50 (2014) 164–177.
LibreCat: https://research-explorer.ista.ac.at/record/2255
DOI: 10.1007/s10851-013-0468-x

PHAT – Persistent Homology Algorithms Toolbox
U. Bauer, M. Kerber, J. Reininghaus, H. Wagner, in:, ICMS 2014: International Congress on Mathematical Software, Springer Berlin Heidelberg, Berlin, Heidelberg, 2014, pp. 137–143.
LibreCat: https://research-explorer.ista.ac.at/record/10894
DOI: 10.1007/978-3-662-44199-2_24

Sphere packing with limited overlap
M. Iglesias Ham, M. Kerber, C. Uhler, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/2012
DOI: 10.48550/arXiv.1401.0468
arXiv: 1401.0468

Recognizing straight skeletons and Voronoi diagrams and reconstructing their input
T. Biedl, M. Held, S. Huber, in:, IEEE, 2013, pp. 37–46.
LibreCat: https://research-explorer.ista.ac.at/record/2209
DOI: 10.1109/ISVD.2013.11

Reconstructing polygons from embedded straight skeletons
T. Biedl, M. Held, S. Huber, in:, 29th European Workshop on Computational Geometry, TU Braunschweig, 2013, pp. 95–98.
LibreCat: https://research-explorer.ista.ac.at/record/2210

Van der Corput sequences and linear permutations
F. Pausinger, Electronic Notes in Discrete Mathematics 43 (2013) 43–50.
LibreCat: https://research-explorer.ista.ac.at/record/2304
DOI: 10.1016/j.endm.2013.07.008

Extending continuous maps: Polynomiality and undecidability
M. cadek, M. Krcál, J. Matousek, L. Vokínek, U. Wagner, in:, 45th Annual ACM Symposium on Theory of Computing, ACM, 2013, pp. 595–604.
LibreCat: https://research-explorer.ista.ac.at/record/2807
DOI: 10.1145/2488608.2488683

Homological reconstruction and simplification in 
D. Attali, U. Bauer, O. Devillers, M. Glisse, A. Lieutier, in:, Proceedings of the 29th Annual Symposium on Computational Geometry, ACM, 2013, pp. 117–125.
LibreCat: https://research-explorer.ista.ac.at/record/2812
DOI: 10.1145/2462356.2462373

3D phenotyping and quantitative trait locus mapping identify core regions of the rice genome controlling root architecture
C. Topp, A. Iyer Pascuzzi, J. Anderson, C. Lee, P. Zurek, O. Symonova, Y. Zheng, A. Bucksch, Y. Mileyko, T. Galkovskyi, B. Moore, J. Harer, H. Edelsbrunner, T. Mitchell Olds, J. Weitz, P. Benfey, PNAS 110 (2013) 95–04.
LibreCat: https://research-explorer.ista.ac.at/record/2822
DOI: 10.1073/pnas.1304354110
PMID: 25673779

Stable length estimates of tube-like shapes
H. Edelsbrunner, F. Pausinger, in:, 17th IAPR International Conference on Discrete Geometry for Computer Imagery, Springer, 2013, pp. XV–XIX.
LibreCat: https://research-explorer.ista.ac.at/record/2843
DOI: 10.1007/978-3-642-37067-0

Homology and robustness of level and interlevel sets
P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel, Homology, Homotopy and Applications 15 (2013) 51–72.
LibreCat: https://research-explorer.ista.ac.at/record/2859
DOI: 10.4310/HHA.2013.v15.n1.a3
arXiv: 1102.3389

Genotypic recognition and spatial responses by rice roots
S. Fang, R. Clark, Y. Zheng, A. Iyer Pascuzzi, J. Weitz, L. Kochian, H. Edelsbrunner, H. Liao, P. Benfey, PNAS 110 (2013) 2670–2675.
LibreCat: https://research-explorer.ista.ac.at/record/2887
DOI: 10.1073/pnas.1222821110
PMID: 23362379

Computing the M most probable modes of a graphical model
C. Chen, V. Kolmogorov, Z. Yan, D. Metaxas, C. Lampert, in:, JMLR, 2013, pp. 161–169.
LibreCat: https://research-explorer.ista.ac.at/record/2901

3D kinetic alpha complexes and their implementation
M. Kerber, H. Edelsbrunner, in:, 2013 Proceedings of the 15th Workshop on Algorithm Engineering and Experiments, Society of Industrial and Applied Mathematics, 2013, pp. 70–77.
LibreCat: https://research-explorer.ista.ac.at/record/2906
DOI: 10.1137/1.9781611972931.6

Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions
H. Edelsbrunner, B.T. Fasy, G. Rote, Discrete &; Computational Geometry 49 (2013) 797–822.
LibreCat: https://research-explorer.ista.ac.at/record/2815
DOI: 10.1007/s00454-013-9517-x

An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, Computational Geometry: Theory and Applications 46 (2013) 435–447.
LibreCat: https://research-explorer.ista.ac.at/record/2939
DOI: 10.1016/j.comgeo.2012.02.010

Persistent homology in image processing
H. Edelsbrunner, in:, Graph-Based Representations in Pattern Recognition, Springer Nature, Berlin, Heidelberg, 2013, pp. 182–183.
LibreCat: https://research-explorer.ista.ac.at/record/10897
DOI: 10.1007/978-3-642-38221-5_19

On the configuration space of Steiner minimal trees
H. Edelsbrunner, N. Strelkova, Russian Mathematical Surveys 67 (2012) 1167–1168.
LibreCat: https://research-explorer.ista.ac.at/record/2849
DOI: 10.1070/RM2012v067n06ABEH004820

The adaptive topology of a digital image
H. Edelsbrunner, O. Symonova, in:, IEEE, 2012, pp. 41–48.
LibreCat: https://research-explorer.ista.ac.at/record/2903
DOI: 10.1109/ISVD.2012.11

On the optimality of functionals over triangulations of Delaunay sets
N. Dolbilin, H. Edelsbrunner, O. Musin, Russian Mathematical Surveys 67 (2012) 781–783.
LibreCat: https://research-explorer.ista.ac.at/record/2941
DOI: 10.1070/RM2012v067n04ABEH004807

Interactive labeling of image segmentation hierarchies
G. Zankl, Y. Haxhimusa, A. Ion, in:, Springer, 2012, pp. 11–20.
LibreCat: https://research-explorer.ista.ac.at/record/2971
DOI: 10.1007/978-3-642-32717-9_2

Fano 3 folds in codimension 4 Tom and Jerry Part I
G. Brown, M. Kerber, M. Reid, Compositio Mathematica 148 (2012) 1171–1194.
LibreCat: https://research-explorer.ista.ac.at/record/3120
DOI: 10.1112/S0010437X11007226

Alexander duality for functions: The persistent behavior of land and water and shore
H. Edelsbrunner, M. Kerber, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 249–258.
LibreCat: https://research-explorer.ista.ac.at/record/3133
DOI: 10.1145/2261250.2261287

Add isotropic Gaussian kernels at own risk: More and more resilient modes in higher dimensions
H. Edelsbrunner, B. Fasy, G. Rote, in:, Proceedings of the Twenty-Eighth Annual Symposium on Computational Geometry , ACM, 2012, pp. 91–100.
LibreCat: https://research-explorer.ista.ac.at/record/3134
DOI: 10.1145/2261250.2261265

Dual complexes of cubical subdivisions of dn
H. Edelsbrunner, M. Kerber, Discrete &; Computational Geometry 47 (2012) 393–414.
LibreCat: https://research-explorer.ista.ac.at/record/3256
DOI: 10.1007/s00454-011-9382-4

Image segmentation by figure-ground composition into maximal cliques
A. Ion, J. Carreira, C. Sminchisescu, in:, IEEE, 2012.
LibreCat: https://research-explorer.ista.ac.at/record/3265
DOI: 10.1109/ICCV.2011.6126486

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, Discrete &; Computational Geometry 48 (2012) 964–989.
LibreCat: https://research-explorer.ista.ac.at/record/3115
DOI: 10.1007/s00454-012-9441-5
arXiv: 1109.2158

A worst case bound for topology computation of algebraic curves
M. Kerber, M. Sagraloff,  Journal of Symbolic Computation 47 (2012) 239–258.
LibreCat: https://research-explorer.ista.ac.at/record/3331
DOI: 10.1016/j.jsc.2011.11.001

Annotating simplices with a homology basis and its applications
O. Busaryev, S. Cabello, C. Chen, T. Dey, Y. Wang, in:, Springer, 2012, pp. 189–200.
LibreCat: https://research-explorer.ista.ac.at/record/3129
DOI: 10.1007/978-3-642-31155-0_17
arXiv: 1107.3793

Hierarchical ordering of reticular networks
Y. Mileyko, H. Edelsbrunner, C. Price, J. Weitz, PLoS One 7 (2012).
LibreCat: https://research-explorer.ista.ac.at/record/3159
DOI: 10.1371/journal.pone.0036715

A point calculus for interlevel set homology
P. Bendich, S. Cabello, H. Edelsbrunner, Pattern Recognition Letters 33 (2012) 1436–1444.
LibreCat: https://research-explorer.ista.ac.at/record/3310
DOI: 10.1016/j.patrec.2011.10.007

Elementary solutions of the Bernstein problem on two intervals
F. Pausinger, Journal of Mathematical Physics, Analysis, Geometry 8 (2012) 63–78.
LibreCat: https://research-explorer.ista.ac.at/record/6588
WoS: 000301173600004

On the configuration space for the shortest networks
H. Edelsbrunner, N. Strelkova, Russian Mathematical Surveys 67 (2012) 1167–1168.
LibreCat: https://research-explorer.ista.ac.at/record/2912
DOI: 10.4213/rm9503

The most persistent soft-clique in a set of sampled graphs
N. Quadrianto, C. Lampert, C. Chen, in:, Proceedings of the 29th International Conference on Machine Learning, ML Research Press, 2012, pp. 211–218.
LibreCat: https://research-explorer.ista.ac.at/record/3127

Weak multipliers for generalized van der Corput sequences
F. Pausinger, Journal de Theorie Des Nombres Des Bordeaux 24 (2012) 729–749.
LibreCat: https://research-explorer.ista.ac.at/record/2904
DOI: 10.5802/jtnb.819

Fractal and computational geometry for generalizing cartographic objects
H. Edelsbrunner, O. Musin, A. Ukhalov, O. Yakimova, V. Alexeev, V. Bogaevskaya, A. Gorohov, M. Preobrazhenskaya, Modeling and Analysis of Information Systems 19 (2012) 152–160.
LibreCat: https://research-explorer.ista.ac.at/record/2902

Probabilistic joint image segmentation and labeling
A. Ion, J. Carreira, C. Sminchisescu, in:, NIPS Proceedings, Neural Information Processing Systems Foundation, 2011, pp. 1827–1835.
LibreCat: https://research-explorer.ista.ac.at/record/3266

Perceptual global illumination cancellation in complex projection environments
Y. Sheng, B. Cutler, C. Chen, J. Nasman, Computer Graphics Forum 30 (2011) 1261–1268.
LibreCat: https://research-explorer.ista.ac.at/record/3269
DOI: 10.1111/j.1467-8659.2011.01985.x

Hardness results for homology localization
C. Chen, D. Freedman, Discrete &; Computational Geometry 45 (2011) 425–448.
LibreCat: https://research-explorer.ista.ac.at/record/3267
DOI: 10.1007/s00454-010-9322-8

Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web
R. Van De Weygaert, G. Vegter, H. Edelsbrunner, B. Jones, P. Pranav, C. Park, W. Hellwing, B. Eldering, N. Kruithof, P. Bos, J. Hidding, J. Feldbrugge, E. Ten Have, M. Van Engelen, M. Caroli, M. Teillaud, in:, M. Gavrilova, K. Tan, M. Mostafavi (Eds.), Transactions on Computational Science XIV, Springer, 2011, pp. 60–101.
LibreCat: https://research-explorer.ista.ac.at/record/3335
DOI: 10.1007/978-3-642-25249-5_3
arXiv: 1306.3640

Deconstructing approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp. 187–196.
LibreCat: https://research-explorer.ista.ac.at/record/3329
DOI: 10.1145/1998196.1998225

A note on the complexity of real algebraic hypersurfaces
M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
LibreCat: https://research-explorer.ista.ac.at/record/3332
DOI: 10.1007/s00373-011-1020-7

Root refinement for real polynomials
M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
LibreCat: https://research-explorer.ista.ac.at/record/3330
DOI: 10.1145/1993886.1993920
arXiv: 1104.1362

A generic algebraic kernel for non linear geometric applications
E. Berberich, M. Hemmer, M. Kerber, in:, ACM, 2011, pp. 179–186.
LibreCat: https://research-explorer.ista.ac.at/record/3328
DOI: 10.1145/1998196.1998224

Letter from the new editors-in-chief
H. Edelsbrunner, J. Pach, G. Ziegler, Discrete &; Computational Geometry 45 (2011) 1–2.
LibreCat: https://research-explorer.ista.ac.at/record/3334
DOI: 10.1007/s00454-010-9313-9

An output sensitive algorithm for persistent homology
C. Chen, M. Kerber, in:, ACM, 2011, pp. 207–216.
LibreCat: https://research-explorer.ista.ac.at/record/3367
DOI: 10.1145/1998196.1998228

The difference in length of curves in R^n
B.T. Fasy, Acta Sci. Math. (Szeged) 77 (2011) 359–367.
LibreCat: https://research-explorer.ista.ac.at/record/3781

Covering and packing with spheres by diagonal distortion in R^n
H. Edelsbrunner, M. Kerber, in:, C. Calude, G. Rozenberg, A. Salomaa (Eds.), Rainbow of Computer Science, Springer, 2011, pp. 20–35.
LibreCat: https://research-explorer.ista.ac.at/record/3796
DOI: 10.1007/978-3-642-19391-0_2

Computing elevation maxima by searching the Gauss sphere
B. Wang, H. Edelsbrunner, D. Morozov, Journal of Experimental Algorithmics 16 (2011) 1–13.
LibreCat: https://research-explorer.ista.ac.at/record/3965
DOI: 10.1145/1963190.1970375

Efficient computation of persistent homology for cubical data
H. Wagner, C. Chen, E. Vuçini, in:, R. Peikert, H. Hauser, H. Carr, R. Fuchs (Eds.), Topological Methods in Data Analysis and Visualization II, Springer, 2011, pp. 91–106.
LibreCat: https://research-explorer.ista.ac.at/record/3271
DOI: 10.1007/978-3-642-23175-9_7

Persistent homology computation with a twist
C. Chen, M. Kerber, in:, TU Dortmund, 2011, pp. 197–200.
LibreCat: https://research-explorer.ista.ac.at/record/3270

Detailed reconstruction of 3D plant root shape
Y. Zheng, S. Gu, H. Edelsbrunner, C. Tomasi, P. Benfey, Detailed Reconstruction of 3D Plant Root Shape, IEEE, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3312
DOI: 10.1109/ICCV.2011.6126475

Diffusion runs low on persistence fast
C. Chen, H. Edelsbrunner, in:, Proceedings of the IEEE International Conference on Computer Vision, IEEE, 2011.
LibreCat: https://research-explorer.ista.ac.at/record/3313
DOI: 10.1109/ICCV.2011.6126271

Alpha shapes - a survey
H. Edelsbrunner, in:, R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke (Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, Springer, n.d.
LibreCat: https://research-explorer.ista.ac.at/record/3311

Quantifying transversality by measuring the robustness of intersections
H. Edelsbrunner, D. Morozov, A. Patel, Foundations of Computational Mathematics 11 (2011) 345–361.
LibreCat: https://research-explorer.ista.ac.at/record/3377
DOI: 10.1007/s10208-011-9090-8

Persistent intersection homology
P. Bendich, J. Harer, Foundations of Computational Mathematics 11 (2011) 305–336.
LibreCat: https://research-explorer.ista.ac.at/record/3378
DOI: 10.1007/s10208-010-9081-1

Enforcing topological constraints in random field image segmentation
C. Chen, D. Freedman, C. Lampert, in:, CVPR: Computer Vision and Pattern Recognition, IEEE, 2011, pp. 2089–2096.
LibreCat: https://research-explorer.ista.ac.at/record/3336
DOI: 10.1109/CVPR.2011.5995503

Incremental-decremental algorithm for computing AT-models and persistent homology
R. Gonzalez-Diaz, A. Ion, M.J. Jimenez, R. Poyatos, in:, Computer Analysis of Images and Patterns, Springer Nature, 2011, pp. 286–293.
LibreCat: https://research-explorer.ista.ac.at/record/9648
DOI: 10.1007/978-3-642-23672-3_35

Spatio-temporal extraction of articulated models in a graph pyramid
N.M. Artner, A. Ion, W.G. Kropatsch, in:, X. Jiang, M. Ferrer, A. Torsello (Eds.), Graph-Based Representations in Pattern Recognition, Springer, Berlin, Heidelberg, 2011, pp. 215–224.
LibreCat: https://research-explorer.ista.ac.at/record/10907
DOI: 10.1007/978-3-642-20844-7_22

Hardness results for homology localization
C. Chen, D. Freedman, in:, Proceedings of the 2010 Annual ACM-SIAM Symposium on Discrete Algorithms, Society for Industrial and Applied Mathematics, 2010, pp. 1594–1604.
LibreCat: https://research-explorer.ista.ac.at/record/10909
DOI: 10.1137/1.9781611973075.129

Topology noise removal for curve  and surface evolution
C. Chen, D. Freedman, in:,  Conference Proceedings MCV 2010, Springer, 2010, pp. 31–42.
LibreCat: https://research-explorer.ista.ac.at/record/3782
DOI: 10.1007/978-3-642-18421-5_4

The stability of the apparent contour of an orientable 2-manifold
H. Edelsbrunner, D. Morozov, A. Patel, in:, Topological Data Analysis and Visualization: Theory, Algorithms and Applications, Springer, 2010, pp. 27–42.
LibreCat: https://research-explorer.ista.ac.at/record/3795
DOI: 10.1007/978-3-642-15014-2_3

The robustness of level sets
P. Bendich, H. Edelsbrunner, D. Morozov, A. Patel, in:, Springer, 2010, pp. 1–10.
LibreCat: https://research-explorer.ista.ac.at/record/3848
DOI: 10.1007/978-3-642-15775-2_1

Mean-payoff automaton expressions
K. Chatterjee, L. Doyen, H. Edelsbrunner, T.A. Henzinger, P. Rannou, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2010, pp. 269–283.
LibreCat: https://research-explorer.ista.ac.at/record/3853
DOI: 10.1007/978-3-642-15375-4_19

Persistent homology under non-uniform error
P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp. 12–23.
LibreCat: https://research-explorer.ista.ac.at/record/3849
DOI: 10.1007/978-3-642-15155-2_2

Polygonal reconstruction from approximate offsets
E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, TU Dortmund, 2010, pp. 12–23.
LibreCat: https://research-explorer.ista.ac.at/record/3850

Computing robustness and persistence for images
P. Bendich, H. Edelsbrunner, M. Kerber, IEEE Transactions of Visualization and Computer Graphics 16 (2010) 1251–1260.
LibreCat: https://research-explorer.ista.ac.at/record/3901
DOI: 10.1109/TVCG.2010.139

The persistent Morse complex segmentation of a 3-manifold
H. Edelsbrunner, J. Harer, in:, Springer, 2009, pp. 36–50.
LibreCat: https://research-explorer.ista.ac.at/record/3968
DOI: 10.1007/978-3-642-10470-1_4