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290 Publications
2015 | Published | Journal Article | IST-REx-ID: 1578
Cao T, Edelsbrunner H, Tan T. Triangulations from topologically correct digital Voronoi diagrams. Computational Geometry. 2015;48(7):507-519. doi:10.1016/j.comgeo.2015.04.001
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2015 | Published | Journal Article | IST-REx-ID: 1584 | 
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. Reprint of: Weighted straight skeletons in the plane. Computational Geometry: Theory and Applications. 2015;48(5):429-442. doi:10.1016/j.comgeo.2015.01.004
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2015 | Published | Journal Article | IST-REx-ID: 1582 |
Biedl T, Held M, Huber S, Kaaser D, Palfrader P. Weighted straight skeletons in the plane. Computational Geometry: Theory and Applications. 2015;48(2):120-133. doi:10.1016/j.comgeo.2014.08.006
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2015 | Published | Thesis | IST-REx-ID: 1399
Pausinger F. On the approximation of intrinsic volumes. 2015.
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2014 | Published | Conference Paper | IST-REx-ID: 10886
Zobel V, Reininghaus J, Hotz I. Visualization of two-dimensional symmetric positive definite tensor fields using the heat kernel signature. In: Topological Methods in Data Analysis and Visualization III . Springer; 2014:249-262. doi:10.1007/978-3-319-04099-8_16
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2014 | Published | Journal Article | IST-REx-ID: 1816 |
Huber S, Held M, Meerwald P, Kwitt R. Topology-preserving watermarking of vector graphics. International Journal of Computational Geometry and Applications. 2014;24(1):61-86. doi:10.1142/S0218195914500034
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2014 | Published | Journal Article | IST-REx-ID: 1929
Alexeev VV, Bogaevskaya VG, Preobrazhenskaya MM, Ukhalov AY, Edelsbrunner H, Yakimova O. An algorithm for cartographic generalization that preserves global topology. Journal of Mathematical Sciences. 2014;203(6):754-760. doi:10.1007/s10958-014-2165-8
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2014 | Published | Conference Paper | IST-REx-ID: 2177
Edelsbrunner H, Parsa S. On the computational complexity of betti numbers reductions from matrix rank. In: Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms. SIAM; 2014:152-160. doi:10.1137/1.9781611973402.11
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2014 | Published | Book | IST-REx-ID: 6853
Edelsbrunner H. A Short Course in Computational Geometry and Topology. 1st ed. Cham: Springer Nature; 2014. doi:10.1007/978-3-319-05957-0
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2014 | Published | Conference Paper | IST-REx-ID: 2012 |
Iglesias Ham M, Kerber M, Uhler C. Sphere packing with limited overlap. In: 26th Canadian Conference on Computational Geometry. Canadian Conference on Computational Geometry; 2014:155-161.
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2014 | Published | Book Chapter | IST-REx-ID: 10817
Günther D, Reininghaus J, Seidel H-P, Weinkauf T. Notes on the simplification of the Morse-Smale complex. In: Bremer P-T, Hotz I, Pascucci V, Peikert R, eds. Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization. Cham: Springer Nature; 2014:135-150. doi:10.1007/978-3-319-04099-8_9
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2014 | Published | Book Chapter | IST-REx-ID: 10893
Kasten J, Reininghaus J, Reich W, Scheuermann G. Toward the extraction of saddle periodic orbits. In: Bremer P-T, Hotz I, Pascucci V, Peikert R, eds. Topological Methods in Data Analysis and Visualization III . Vol 1. Mathematics and Visualization. Cham: Springer; 2014:55-69. doi:10.1007/978-3-319-04099-8_4
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2014 | Published | Conference Paper | IST-REx-ID: 2905 |
Edelsbrunner H, Morozovy D. Persistent homology: Theory and practice. In: European Mathematical Society; 2014:31-50. doi:10.4171/120-1/3
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2014 | Published | Book Chapter | IST-REx-ID: 2044 |
Bauer U, Kerber M, Reininghaus J. Clear and Compress: Computing Persistent Homology in Chunks. In: Bremer P-T, Hotz I, Pascucci V, Peikert R, eds. Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization. Springer; 2014:103-117. doi:10.1007/978-3-319-04099-8_7
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| arXiv
2014 | Published | Conference Paper | IST-REx-ID: 2153 |
Bauer U, Lesnick M. Induced matchings of barcodes and the algebraic stability of persistence. In: Proceedings of the Annual Symposium on Computational Geometry. ACM; 2014:355-364. doi:10.1145/2582112.2582168
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| arXiv
2014 | Published | Conference Paper | IST-REx-ID: 2156 |
Bauer U, Ge X, Wang Y. Measuring distance between Reeb graphs. In: Proceedings of the Annual Symposium on Computational Geometry. ACM; 2014:464-473. doi:10.1145/2582112.2582169
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| arXiv
2014 | Published | Conference Paper | IST-REx-ID: 2155 |
Bauer U, Edelsbrunner H. The morse theory of Čech and Delaunay filtrations. In: Proceedings of the Annual Symposium on Computational Geometry. ACM; 2014:484-490. doi:10.1145/2582112.2582167
[Submitted Version]
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| arXiv
2014 | Published | Conference Paper | IST-REx-ID: 2043 |
Bauer U, Kerber M, Reininghaus J. Distributed computation of persistent homology. In: McGeoch C, Meyer U, eds. Proceedings of the Workshop on Algorithm Engineering and Experiments. Society for Industrial and Applied Mathematics; 2014:31-38. doi:10.1137/1.9781611973198.4
[Submitted Version]
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| arXiv
2014 | Published | Journal Article | IST-REx-ID: 1876 |
Dolbilin N, Edelsbrunner H, Glazyrin A, Musin O. Functionals on triangulations of delaunay sets. Moscow Mathematical Journal. 2014;14(3):491-504. doi:10.17323/1609-4514-2014-14-3-491-504
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| arXiv
2014 | Published | Journal Article | IST-REx-ID: 2255 |
Edelsbrunner H, Pausinger F. Stable length estimates of tube-like shapes. Journal of Mathematical Imaging and Vision. 2014;50(1):164-177. doi:10.1007/s10851-013-0468-x
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