Reconstruction of granular railway ballast based on inverse discrete Fourier transform method
Reconstruction of granular railway ballast based on inverse discrete Fourier transform method
复制标题
基于离散傅里叶逆变换法的粒状铁路道碴重构
DOI：
10.1007/s10035-017-0761-2
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发表时间：
2017-09
期刊：
影响因子：
2.4
通讯作者：
Li Dejian
中科院分区：
文献类型：
--
作者：
Zhao Lianheng;Huang Dongliang;Dan Han-Cheng;Zhang Shuaihao;Li Dejian
提出了一种描述铁路散粒化道碴颗粒几何信息的颗粒形状表征与重构方法。基于傅立叶变换方法，对真实的颗粒的轮廓进行分割，并将其转换为离散的时域信号。然后，离散傅立叶变换算法的开发和应用，将离散时域信号转换为离散傅立叶频谱。同时，将归一化振幅定义为傅立叶描述子，发现其适用于表征和重建颗粒轮廓。通过比较真实的粒子和重构粒子的轮廓，验证了该方法的有效性。研究结果表明，碎石颗粒的几何参数可分为3个层次，分别从宏观和微观两个方面表征碎石颗粒的几何特征。离散傅立叶逆变换通过控制傅立叶描述子的大小和分布，可以定量地控制重构粒子的形状，与三个层次的形状指标相匹配。此外，可以发现，大量的虚拟颗粒具有相似的几何特征，可以重建使用所提出的傅立叶描述符在一个快速和方便的方式，这是有益的，提供了一个虚拟的测试样品的数值模拟的现实颗粒材料。
This paper presents a particle shape characterization and reconstruction method to describe the geometrical information of granular railway ballast. The outline of a real granular particle is segmented and transformed as discrete time domain signals based on Fourier transform method. Then, the discrete Fourier transform algorithm is developed and applied to convert discrete time domain signals into a discrete Fourier spectrum. Meanwhile, the normalized amplitudes are defined as Fourier descriptors, which is found to be applicable to characterize and reconstruct particle contour. Further, the proposed method is validated by comparing the contours of the real particle with that of reconstructed particle. Moreover, the shape indexes of particles Fourier descriptors and reconstruction of ballasted gravel are illustrated and the the results show that the geometrical parameters can be classified as three levels which can represent the geometrical characteristics in terms of macroscopical and microscopic structure. The inverse discrete Fourier transform can quantitatively control the shape of reconstructed particles by controlling the value and distribution of Fourier descriptors, which matchs the three levels of shape indexes. Furthermore, it can be found that a large number of virtual particles with similar geometrical features can be reconstructed using the proposed Fourier descriptors in a rapid and convenient manner, which is beneficial for providing a virtual test sample for the numerical modeling of realistic granular materials.
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