Particle shape characterisation using Fourier descriptor analysis

By E. Bowman, Kenichi Soga, W. Drummond. 2001

349 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/418aa3f8092d2a2cb5c907beb30ef115be540e02

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In Civil and Structural Engineering

In Environmental Engineering

Citations in the corpus

Three-dimensional sphericity, roundness and fractal dimension of sand particles (2018, background): “…(2014) material roughness indices (i.e. average and root-meansquare roughness) for a local area, Zheng & Hryciw (2015) statistical indices (i.e. locally weighted regression and k-fold cross-validation) and the Fourier descriptors of Bowman et al. (2001) and Mollon & Zhao (2012) for 2D projections.”
Three-dimensional laser scanning technique to quantify aggregate and ballast shape properties (2013, methodology): “The problems associated with the use of the traditional methods are widely reported by some researchers [1–3].”
3D quantitative shape analysis on form, roundness, and compactness with μCT (2016, background): “It was found that Fourier descriptors, which are determined by taking the Fourier transformation of the outline of sand particles, were closely related to shape factors [15,16].”
Exploring the relationship between critical state and particle shape for granular materials (2015, methodology): “To improve accuracy, one can choose to calculate the roundness of a particle directly from the measurements on the particle image by using the Wadell (1932) method (e.g., Rouse et al., 2008) or by use of complex Fourier analysis (Bowman et al., 2001).”
Closure of "Particle Shape Effects on Packing Density, Stiffness, and Strength: Natural and Crushed Sands" (2006, methodology): “…facilitates the evaluation of mathematical descriptors of particle shape including Fourier analysis, fractal analysis, and other hybrid techniques e.g., Meloy 1977; Clark 1987; Yudhbir and Abedinzadeh 1991; Kuo et al. 1996; Hyslip and Vallejo 1997; Bowman et al. 2001; Sukumaran and Ashmawy 2001 .”
Micromorphology characterization and reconstruction of sand particles using micro X-ray tomography and spherical harmonics (2015, background): “Bowman et al. (2001) first introduced the mathematical Fourier descriptors to characterize and reconstruct particle micromorphology in 2-”
New parameter of roundness R: circularity corrected by aspect ratio (2016, methodology): “The second approach involves the quantitative determination of various shape parameters, and many evaluation methods have been designed to obtain relevant shape parameters (e.g., Schwarcz and Shane 1969; Orford and Whalley 1983; Diepenbroek et al. 1992; Yoshimura and Ogawa 1993; Vallejo and Zhou 199”
Soil behaviour: The role of particle shape (2004, methodology): “Digital image analysis facilitates the systematic evaluation of mathematical descriptors of particle shape including Fourier analysis, fractal analysis and other hybrid techniques (e.g., Meloy 1977, Clark 1987, Hyslip and Vallejo 1997, Bowman et al. 2001).”
Aggregate shape effect on the diffusivity of mortar (2014, background): “According to the shape of particles, these models can generally be categorized as: packing models of spherical particles [1–10], packing models of 2D elliptical [11,12] or 3D ellipsoidal particles [13–17], packing models of 2D convex polygonal [18] or 3D convex polyhedral particles [19–22], packing ”
Minimum image quality for reliable optical characterizations of soil particle shapes (2019, neutral): “A variety of imaging techniques have been developed and applied to particle shape analysis by geotechnical engineers ([6,8,10,19,18,21,22,24,29,30,35,42,36,37,40]; and many others), and a review of these techniques was provided by Hryciw et al. [11].”