🍩 Database of Original & Non-Theoretical Uses of Topology
(found 4 matches in 0.002016s)
High-Throughput Screening Approach for Nanoporous Materials Genome Using Topological Data Analysis: Application to Zeolites (2018)Yongjin Lee, Senja D. Barthel, Pawe\\textbackslash\l D\\textbackslash\lotko, Seyed Mohamad Moosavi, Kathryn Hess, Berend Smit
Pore Configuration Landscape of Granular Crystallization (2017)Mohammad Saadatfar, Hiroshi Takeuchi, Vanessa Robins, Nicolas Francois, Yisuaki Hiraoka
AbstractEmergence and growth of crystalline domains in granular media remains under-explored. Here, the authors analyse tomographic snapshots from partially recrystallized packings of spheres using persistent homology and find agreement with proposed transitions based on continuous deformation of octahedral and tetrahedral voids.
Morse Theory and Persistent Homology for Topological Analysis of 3D Images of Complex Materials (2014)O. Delgado-Friedrichs, V. Robins, A. Sheppard
AbstractWe develop topologically accurate and compatible definitions for the skeleton and watershed segmentation of a 3D digital object that are computed by a single algorithm. These definitions are based on a discrete gradient vector field derived from a signed distance transform. This gradient vector field is amenable to topological analysis and simplification via For-man's discrete Morse theory and provides a filtration that can be used as input to persistent homology algorithms. Efficient implementations allow us to process large-scale x-ray micro-CT data of rock cores and other materials.