Spherical harmonic reconstruction and preferred parameter research of 3D morphology of manufactured aggregate with different particle sizes

Published

May 23, 2024

Author(s)

Edward Garboczi, Peng Gao, Juan Wu, Peiyun Qiu, Jingzhe Li, Hongjie Liu, Zhiwei Qian, Jiangziong Wei, Qijun Yu

Abstract

The spherical harmonic (SH) series have been widely used in recent years to reconstruct three-dimensional (3D) particle shape for reducing the memory requirements of morphological data and facilitating the calculation of various particle shape parameters. Yet, the optimal reconstruction parameters for the aggregates used in concrete with different morphologies and sizes have not been made clear. In this paper, manufactured aggregates with a size range of 1.18 mm to 2.36 mm (M118), 2.36 mm to 4.75 mm (M236), 4.75 mm to 9.50mm (M475), and natural aggregate with a particle size greater than 1.18 mm (S118) were selected, scanned using the digital light projection (DLP) technology, and reconstructed using SH series. The effect of two critical parameters, the maximum number of SH functions (N) used in the reconstruction series and the number of terms in the Gaussian quadrature (G) used for solving the SH expansion coefficients, on the reconstruction errors were studied. Further, the optimal reconstruction parameters for different particle sizes and morphologies were proposed, via a derived relationship between N and G. The results showed that the reconstruction errors decreased when the N and G values increased. The relationship between N and G was derived to be G ≥ 1.83N+3.23, which is probably caused by the issue of the algebraic precision of the Gaussian integral. Taking less than 3% as an acceptable level for a reconstruction error, the smallest N value for the M475, M236, M118 and S118 particles should be greater than 13, 11, 9 and 4, respectively.

Citation

Powder Technology

Volume

443

Pub Type

Journals

Download Paper

https://doi.org/10.1016/j.powtec.2024.119919

Local Download

Keywords

Manufactured aggregate, 3D scanning, Spherical harmonics, Shape reconstruction, Optimal parameters, Gaussian quadrature.

Citation

Garboczi, E. , Gao, P. , Wu, J. , Qiu, P. , Li, J. , Liu, H. , Qian, Z. , Wei, J. and Yu, Q. (2024), Spherical harmonic reconstruction and preferred parameter research of 3D morphology of manufactured aggregate with different particle sizes, Powder Technology, [online], https://doi.org/10.1016/j.powtec.2024.119919, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=956824 (Accessed October 10, 2025)