Options
Particle shape quantification using rotation-invariant spherical harmonic analysis
Author(s)
Date Issued
2017-06-01
Date Available
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.
Other Sponsorship
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
Language
English
Status of Item
Peer reviewed
ISSN
2049-825X
This item is made available under a Creative Commons License
File(s)
Owning collection
Scopus© citations
24
Acquisition Date
Mar 19, 2024
Mar 19, 2024
Views
385
Last Week
1
1
Last Month
1
1
Acquisition Date
Mar 19, 2024
Mar 19, 2024
Downloads
214
Last Week
2
2
Last Month
2
2
Acquisition Date
Mar 19, 2024
Mar 19, 2024