🍩 Database of Original & Non-Theoretical Uses of Topology
(found 4 matches in 0.001278s)
-
-
Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web (2011)
Rien Van De Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J. T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E. G. P. Bos, Johan Hidding, Job Feldbrugge, Eline Ten Have, Matti Van Engelen, Manuel Caroli, Monique TeillaudAbstract
We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of... -
Medium-Range Order Structure Controls Thermal Stability of Pores in Zeolitic Imidazolate Frameworks (2023)
Rasmus Christensen, Yossi Bokor Bleile, Søren S. Sørensen, Christophe A. N. Biscio, Lisbeth Fajstrup, Morten M. Smedskjaer -
Topology-Driven Trajectory Synthesis With an Example on Retinal Cell Motions (2014)
Chen Gu, Leonidas Guibas, Michael KerberAbstract
We design a probabilistic trajectory synthesis algorithm for generating time-varying sequences of geometric configuration data. The algorithm takes a set of observed samples (each may come from a different trajectory) and simulates the dynamic evolution of the patterns in O(n2 logn) time. To synthesize geometric configurations with indistinct identities, we use the pair correlation function to summarize point distribution, and α-shapes to maintain topological shape features based on a fast persistence matching approach. We apply our method to build a computational model for the geometric transformation of the cone mosaic in retinitis pigmentosa — an inherited and currently untreatable retinal degeneration.