Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory

Authors: Bauer, Ulrich, Roll, Fabian

Source: 40th International Symposium on Computational Geometry (SoCG 2024), Article No. 15

Subject Terms: Mathematics - Algebraic Topology, Computer Science - Computational Geometry, Mathematics - Geometric Topology

Access URL: http://arxiv.org/abs/2212.02345

A Unified View on the Functorial Nerve Theorem and its Variations

Authors: Bauer, Ulrich, Kerber, Michael, Roll, Fabian, Rolle, Alexander

Source: Expo. Math. 41:4 (2023), 125503

Subject Terms: Mathematics - Algebraic Topology, 55N31 (Primary) 55-02, 55P10 (Secondary)

Access URL: http://arxiv.org/abs/2203.03571

Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris-Rips Filtrations

Authors: Bauer, Ulrich, Roll, Fabian

Source: 38th International Symposium on Computational Geometry (SoCG 2022), Article No. 15

Subject Terms: Mathematics - Algebraic Topology, Computer Science - Computational Geometry, Mathematics - Geometric Topology

Access URL: http://arxiv.org/abs/2112.06781

Topological analysis of 3D digital ovules identifies cellular patterns associated with ovule shape diversity.

Authors: Mody, Tejasvinee Atul, Rolle, Alexander, Stucki, Nico, Roll, Fabian, Bauer, Ulrich, Schneitz, Kay

Source: Development (09501991); Oct2024, Vol. 151 Issue 20, p1-15, 15p

Subject Terms: INSPECTION & review, CELL size, OVULES, MORPHOGENESIS, MORPHOMETRICS, ARABIDOPSIS

Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris—Rips Filtrations
Computational geometry (International symposium)

Authors: Bauer, Ulrich, Roll, Fabian

Source: Proceedings of the ... annual ACM Symposium on Computational Geometry. 38(1):15:1-15:15

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCCN607652518&indx=1&recIds=ETOCCN607652518

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