🍩 Database of Original & Non-Theoretical Uses of Topology
(found 4 matches in 0.00173s)
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Pore Configuration Landscape of Granular Crystallization (2017)
Mohammad Saadatfar, Hiroshi Takeuchi, Vanessa Robins, Nicolas Francois, Yisuaki HiraokaAbstract
Emergence 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. -
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 -
Morse Theory and Persistent Homology for Topological Analysis of 3D Images of Complex Materials (2014)
O. Delgado-Friedrichs, V. Robins, A. SheppardAbstract
We 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.