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Superellipsoid-based study on reproducing 3D particle geometry from 2D projections

机译：基于超椭球的从2D投影再现3D粒子几何的研究

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摘要

The potential of reproducing the 3D geometrical features, e.g., sizes, elongation and flatness, of idealized convex granular particles from their 2D random projections was investigated based on a superellipsoid model. Using the random projection method, the relationships between the geometrical features of monosized superellipsoids and the statistical distributions of the corresponding 2D projected counterparts were examined. The 2D size parameters, e.g., r(1max), r(mean) and r(2min), obtained from the projected images were well correlated with the semi-axial principal dimensions of the 3D particles, e.g., R-1, R-2 and R-3. Further studies of randomised superellipsoid particles with various aspherical shapes and limited projection numbers were performed to validate the findings. The capability and reliability of predicting 3D sizes and shapes from 2D projections were statistically analysed and verified. The correlation of prediction accuracy with increasing projection number and varied aspherical shapes was investigated. Based on the results, a particle geometry prediction framework was proposed, and the associated performance was examined using realistic cobble particles obtained from 3D laser scanning. The promising results highlight the potential of this approach in future industrial applications.
机译：基于超椭球模型，研究了从其二维随机投影中复制理想化凸状颗粒的3D几何特征（例如大小，伸长率和平面度）的可能性。使用随机投影方法，检查了单尺寸超椭圆体的几何特征与相应的2D投影对应物的统计分布之间的关系。从投影图像获得的2D尺寸参数，例如r（1max），r（mean）和r（2min）与3D粒子的半轴主要尺寸（例如R-1，R- 2和R-3。对具有各种非球面形状和有限投影数的随机化超椭圆体颗粒进行了进一步研究，以验证发现。统计分析和验证了从2D投影预测3D尺寸和形状的能力和可靠性。研究了预测精度与投影数量增加和非球面形状变化之间的关系。根据这些结果，提出了一种粒子几何形状预测框架，并使用从3D激光扫描获得的真实卵石粒子检查了相关性能。令人鼓舞的结果突出了这种方法在未来工业应用中的潜力。

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