基于傅里叶级数的火山渣颗粒形态表征与分析

路基火山渣填料的宏观力学行为和火山渣颗粒的几何形态特征息息相关。一种基于傅里叶级数的方法被提出，用以分析和表征具有凹凸特征的二维非星形火山渣填料颗粒。研究表明:傅里叶系数可以有效表征和量化火山渣颗粒的形状特征；火山渣颗粒的伸长度变异性较大，且主要取决于傅里叶系数在n=1时两个主轴方向上的幅值之比；火山渣颗粒的磨圆程度较小，棱角度与凹凸度之间的相关性较小。

Characterization and Analysis of Particles Morphology of Volcanic Scoria Based on Fourier Series

The macroscopic mechanical behavior of volcanic scoria filling closely relates to the geometrical morphological characteristics of its particles. A Fourier series-based approach was proposed to analyze and represent two-dimensional non star-like scoria particles that are characterized by convex and concave. The result shows that Fourier series coefficients can characterize and quantize the morphological features of scoria particles; the elongation of scoria particles are of great variability and mainly depends on the ratio of Fourier coefficient amplitude along the two principal axis directions when n = 1; in addition, the rounding degree of scoria particle is small, and the angularity is less relevant with the roughness.