Peng Gao , Edward Garboczi , Juan Wu , Peiyun Qiu , Jingzhe Li , Zhiwei Qian , Jiangxiong Wei , Qijun Yu
{"title":"Optimizing the parameters of spherical harmonic reconstruction of the 3D morphology of manufactured aggregate with different particle sizes","authors":"Peng Gao , Edward Garboczi , Juan Wu , Peiyun Qiu , Jingzhe Li , Zhiwei Qian , Jiangxiong Wei , Qijun Yu","doi":"10.1016/j.powtec.2024.119919","DOIUrl":null,"url":null,"abstract":"<div><p>The optimal reconstruction parameters of spherical harmonic (SH) series for the aggregates with different morphologies and sizes were not clear. In this paper, manufactured aggregates with different sizes (1.18–2.36 mm, 2.36–4.75 mm, 4.75–9.50 mm), and natural aggregate with size >1.18 mm were scanned using the digital light projection (DLP), and reconstructed using SH series. The effect of maximum number of SH functions (<em>N</em>) used in the reconstruction series and the number of terms in the Gaussian quadrature (<em>G</em>) used for solving the SH expansion coefficients on the reconstruction errors were studied. The optimal reconstruction parameters for different particle sizes and morphologies were proposed, via a derived relationship between <em>N</em> and <em>G</em>. The reconstruction errors decreased when the <em>N</em> and <em>G</em> values increased. The relationship between <em>N</em> and <em>G</em> was derived to be <em>G ≥</em> 1.84 <em>N</em> + 3.60, which is probably caused by the issue of the algebraic precision of the Gaussian integral.</p></div>","PeriodicalId":407,"journal":{"name":"Powder Technology","volume":null,"pages":null},"PeriodicalIF":4.5000,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Powder Technology","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S003259102400562X","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, CHEMICAL","Score":null,"Total":0}
引用次数: 0
Abstract
The optimal reconstruction parameters of spherical harmonic (SH) series for the aggregates with different morphologies and sizes were not clear. In this paper, manufactured aggregates with different sizes (1.18–2.36 mm, 2.36–4.75 mm, 4.75–9.50 mm), and natural aggregate with size >1.18 mm were scanned using the digital light projection (DLP), and reconstructed using SH series. The effect of 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. The optimal reconstruction parameters for different particle sizes and morphologies were proposed, via a derived relationship between N and G. The reconstruction errors decreased when the N and G values increased. The relationship between N and G was derived to be G ≥ 1.84 N + 3.60, which is probably caused by the issue of the algebraic precision of the Gaussian integral.
不同形态和尺寸的集料的球谐波(SH)系列最佳重建参数尚不明确。本文使用数字光投影(DLP)扫描了不同尺寸(1.18-2.36 毫米、2.36-4.75 毫米、4.75-9.50 毫米)的人造骨料和尺寸为 1.18 毫米的天然骨料,并使用 SH 序列进行了重建。研究了重建序列中使用的 SH 函数最大数量(N)和用于求解 SH 扩展系数的高斯正交项数(G)对重建误差的影响。通过推导 N 和 G 之间的关系,提出了不同粒度和形态的最佳重建参数。N 和 G 之间的关系推导为 G≥ 1.84 N + 3.60,这可能是由高斯积分的代数精度问题引起的。
期刊介绍:
Powder Technology is an International Journal on the Science and Technology of Wet and Dry Particulate Systems. Powder Technology publishes papers on all aspects of the formation of particles and their characterisation and on the study of systems containing particulate solids. No limitation is imposed on the size of the particles, which may range from nanometre scale, as in pigments or aerosols, to that of mined or quarried materials. The following list of topics is not intended to be comprehensive, but rather to indicate typical subjects which fall within the scope of the journal's interests:
Formation and synthesis of particles by precipitation and other methods.
Modification of particles by agglomeration, coating, comminution and attrition.
Characterisation of the size, shape, surface area, pore structure and strength of particles and agglomerates (including the origins and effects of inter particle forces).
Packing, failure, flow and permeability of assemblies of particles.
Particle-particle interactions and suspension rheology.
Handling and processing operations such as slurry flow, fluidization, pneumatic conveying.
Interactions between particles and their environment, including delivery of particulate products to the body.
Applications of particle technology in production of pharmaceuticals, chemicals, foods, pigments, structural, and functional materials and in environmental and energy related matters.
For materials-oriented contributions we are looking for articles revealing the effect of particle/powder characteristics (size, morphology and composition, in that order) on material performance or functionality and, ideally, comparison to any industrial standard.