2024
- Persistent homology for functionals. Communications in Contemporary Mathematics, 2024 more…
- Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory. 40th International Symposium on Computational Geometry (SoCG 2024) (Leibniz International Proceedings in Informatics (LIPIcs)), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2024 more…
- Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory. 40th International Symposium on Computational Geometry (SoCG 2024) (Leibniz International Proceedings in Informatics (LIPIcs)), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2024 more…
- Topological analysis of 3D digital ovules identifies cellular patterns associated with ovule shape diversity. Development, 2024 more…
2023
- Homology of configuration spaces of hard squares in a rectangle. Algebraic & Geometric Topology 23 (6), 2023, 2593-2626 more…
- A unified view on the functorial nerve theorem and its variations. Expositiones Mathematicae 41 (4), 2023, 125503 more…
- Efficient Two-Parameter Persistence Computation via Cohomology. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023 more…
- Persistent homology for functionals. Communications in Contemporary Mathematics 26 (10), 2023 more…
- Topological Data Analysis and Applications (Dagstuhl Seminar 23192). Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023 more…
- On Computing Homological Hitting Sets. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023 more…
- Efficient Computation of Image Persistence. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023 more…
- Lifespan functors and natural dualities in persistent homology. Homology, Homotopy and Applications 25 (2), 2023, 297-327 more…
- Clifford-symmetric polynomials. Communications in Algebra 51 (9), 2023, 3981-4011 more…
2022
- Quasi-Universality of Reeb Graph Distances. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022 more…
- Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris-Rips Filtrations. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022 more…
- The Degree-Rips Complexes of an Annulus with Outliers. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022 more…
2021
- Ripser: efficient computation of Vietoris–Rips persistence barcodes. Journal of Applied and Computational Topology 5 (3), 2021, 391-423 more…
- Shuffling functors and spherical twists on Db(0o). Journal of Algebra 579, 2021, 26-63 more…
- clDice - a Novel Topology-Preserving Loss Function for Tubular Structure Segmentation. 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), IEEE, 2021 more…
2020
- Čech–Delaunay gradient flow and homology inference for self-maps. Journal of Applied and Computational Topology 4 (4), 2020, 455-480 more…
- Cotorsion torsion triples and the representation theory of filtered hierarchical clustering. Advances in Mathematics 369, 2020, 107171 more…
- The Reeb Graph Edit Distance is Universal. Foundations of Computational Mathematics 21 (5), 2020, 1441-1464 more…
- Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem. In: Topological Data Analysis. Springer International Publishing, 2020 more…
2019
- Hardness of Approximation for Morse Matching. In: Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms. Society for Industrial and Applied Mathematics, 2019 more…
- Parametrized Complexity of Expansion Height. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2019 more…
- On the Metric Distortion of Embedding Persistence Diagrams into Separable Hilbert Spaces. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2019 more…
2017
- Phat – Persistent Homology Algorithms Toolbox. Journal of Symbolic Computation 78, 2017, 76-90 more…
2016
2015
- Homological reconstruction and simplification in R³. Computational Geometry 48 (8), 2015, 606-621 more…
- Induced matchings and the algebraic stability of persistence barcodes. Journal of Computational Geometry, 2015, Vol. 6 No. 2 (2015): Special issue of Selected Papers from SoCG 2014 more…
- Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs. Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik GmbH, Wadern/Saarbruecken, Germany, 2015 more…
- Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals. Foundations of Computational Mathematics 17 (1), 2015, 1-33 more…
- Statistical Topological Data Analysis - a Kernel Perspective. Proceedings of the 28th International Conference on Neural Information Processing Systems - Volume 2 (NIPS'15), MIT Press, 2015 more…
- A stable multi-scale kernel for topological machine learning. 2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), IEEE, 2015 more…
2014
- The Morse Theory of Čech and Delaunay Filtrations. Proceedings of the thirtieth annual symposium on Computational geometry, ACM, 2014 more…
- Measuring Distance between Reeb Graphs. Proceedings of the thirtieth annual symposium on Computational geometry, ACM, 2014 more…
- Clear and Compress: Computing Persistent Homology in Chunks. In: Mathematics and Visualization. Springer International Publishing, 2014 more…
- PHAT – Persistent Homology Algorithms Toolbox. In: Mathematical Software – ICMS 2014. Springer Berlin Heidelberg, 2014 more…
- Induced Matchings of Barcodes and the Algebraic Stability of Persistence. Proceedings of the thirtieth annual symposium on Computational geometry, ACM, 2014 more…
2013
- Homological reconstruction and simplification in R³. Proceedings of the twenty-ninth annual symposium on Computational geometry, ACM, 2013 more…
2012
- Distributed Computation of Persistent Homology. In: 2014 Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments (ALENEX). Society for Industrial and Applied Mathematics, 2012 more…
2011
- Optimal Topological Simplification of Discrete Functions on Surfaces. Discrete & Computational Geometry 47 (2), 2011, 347-377 more…
2010
2009
- Generating parametric models of tubes from laser scans. Computer-Aided Design 41 (10), 2009, 719-729 more…
2008
- Detection of Planar Regions in Volume Data for Topology Optimization. In: Advances in Geometric Modeling and Processing. Springer Berlin Heidelberg, 2008 more…
2007
- Parametric Reconstruction of Bent Tube Surfaces. 2007 International Conference on Cyberworlds (CW'07), IEEE, 2007 more…