Particle shape quantification using rotation-invariant spherical harmonic analysis

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Title: Particle shape quantification using rotation-invariant spherical harmonic analysis
Authors: Zhao, BudiWei, DehengWang, Jianfeng
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Date: 1-Jun-2017
Online since: 2021-11-08T15:01:35Z
Abstract: A three-dimensional (3D) particle surface can be mathematically represented by a spherical harmonic (SH) coefficient matrix through surface parameterisation and SH expansion. However, this matrix depends on not only the particle shape but also the size, position and orientation. This study adopts a rotation-invariant analysis to explore the relationship between SH coefficient matrices and particle shape characteristics. Particle shapes are quantified at different scales (i.e., form, roundness and compactness). These methods are applied to two groups of particles (i.e., Leighton Buzzard sand (LBS) particles and LBS fragments) with distinct shape features. By using rotation invariants, the multi-scale nature of particle shape is illustrated, and two novel shape descriptors are defined. The results in this paper serve as a starting point for the generation of particle shapes with prescribed shape features using spherical harmonic.
Funding Details: National Science Foundation of China
Research Grant Council of HKSAR
Shenzhen Basic Research Grant
Type of material: Journal Article
Publisher: ICE Publishing
Journal: Géotechnique Letters
Volume: 7
Issue: 2
Start page: 190
End page: 196
Copyright (published version): 2017 ICE Publishing
Keywords: Particle crushing/crushabilityParticle-scale behaviourSandsX-ray tomographyRandom-fieldsGranular-materialsClosed surfacesConcrete
DOI: 10.1680/jgele.17.00011
Language: en
Status of Item: Peer reviewed
ISSN: 2049-825X
This item is made available under a Creative Commons License:
Appears in Collections:Civil Engineering Research Collection

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