Morse theory-based segmentation and fabric quantification of granular materials

Pandey, K and Bin Masood, T and Singh, S and Hotz, I and Natarajan, V and Murthy, TG (2022) Morse theory-based segmentation and fabric quantification of granular materials. In: Granular Matter, 24 (1).

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Abstract

This article presents a robust Morse theory-based framework for segmenting 3D X-ray computed tomography image (CT) and computing the fabric, relative arrangement of particles, of granular ensembles. The framework includes an algorithm for computing the segmentation, a data structure for storing the segmentation and representing both individual particles and the connectivity network, and visualizations of topological descriptors of the CT image that enable interactive exploration. The Morse theory-based framework produces superior quality segmentation of a granular ensemble as compared to prior approaches based on the watershed transform. The accuracy of the connectivity network also improves. Further, the framework supports the efficient computation of various distribution statistics on the segmentation and the connectivity network. Such a comprehensive characterization and quantification of the fabric of granular ensembles is the first step towards a multiple length scale understanding of the behavior. Graphic abstract: Figure not available: see fulltext. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

Item Type:	Journal Article
Publication:	Granular Matter
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to Springer Science and Business Media Deutschland GmbH.
Keywords:	Abstracting; Computation theory; Computerized tomography; Granular materials; Image segmentation, Computed tomography images; Granular ensemble; Individual particles; Morse the-ory; Morse-Smale complex; Particle connectivity network; Segmentation; Topological descriptors; Topological persistences; X-ray computed tomography, Topology
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation Division of Mechanical Sciences > Civil Engineering
Date Deposited:	05 Jan 2022 11:03
Last Modified:	05 Jan 2022 11:03
URI:	http://eprints.iisc.ac.in/id/eprint/70885

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