Chen DongDong, Xu Zhi, Wang XiaoRui, He HongJie, Du ZhongZhou, Nan JiaoFen
School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, 450000, China.
Guangxi Key Laboratory of Images and Graphics Intelligent Processing, Guilin University of Electronics Technology, Guilin, 541004, China.
Phys Rev E. 2022 May;105(5-2):055301. doi: 10.1103/PhysRevE.105.055301.
In this paper, we propose a hierarchical simulated annealing of erosion method (HSAE) to improve the computational efficiency of multiphase microstructure reconstruction, whose computational efficiency can be improved by an order of magnitude. Reconstruction of the two-dimensional (2D) and three-dimensional (3D) multiphase microstructures (pore, grain, and clay) based on simulated annealing (SA) and HSAE are performed. In the reconstruction of multiphase microstructure with HSAE and SA, three independent two-point correlation functions are chosen as the morphological information descriptors. The two-point cluster function which contains significant high-order statistical information is used to verify the reconstruction results. From the analysis of 2D reconstruction, it can find that the proposed HSAE technique not only improves the quality of reconstruction, but also improves the computational efficiency. The reconstructions of our proposed method are still imperfect. This is because the used two-point correlation functions contain insufficient information. For the 3D reconstruction, the two-point correlation functions of the 3D generation are in excellent agreement with those of the original 2D image, which illustrates that our proposed method is effective for the reconstruction of 3D microstructure. The comparison of the energy vs computational time between the SA and HSAE methods shows that our presented method is an order of magnitude faster than the SA method. That is because only some of the pixels in the overall hierarchy need to be considered for sampling.
在本文中，我们提出了一种分层腐蚀模拟退火方法（HSAE），以提高多相微观结构重建的计算效率，其计算效率可提高一个数量级。基于模拟退火（SA）和HSAE对二维（2D）和三维（3D）多相微观结构（孔隙、晶粒和黏土）进行了重建。在使用HSAE和SA重建多相微观结构时，选择了三个独立的两点关联函数作为形态信息描述符。包含重要高阶统计信息的两点聚类函数用于验证重建结果。通过对二维重建的分析发现，所提出的HSAE技术不仅提高了重建质量，还提高了计算效率。我们提出的方法的重建仍不完美。这是因为所使用的两点关联函数包含的信息不足。对于三维重建，三维生成的两点关联函数与原始二维图像的两点关联函数非常吻合，这表明我们提出的方法对三维微观结构的重建是有效的。SA和HSAE方法之间能量与计算时间的比较表明，我们提出的方法比SA方法快一个数量级。这是因为在整个层次结构中只需要考虑一些像素进行采样。
