Pant Lalit M, Mitra Sushanta K, Secanell Marc
Department of Mechanical Engineering, University of Alberta, Edmonton, Canada, T6G 2G8.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Aug;90(2):023306. doi: 10.1103/PhysRevE.90.023306. Epub 2014 Aug 28.
A reconstruction methodology based on threshold energy based energy minimization (TA) and different-phase-neighbor (DPN)-based pixel swapping is presented. The TA method uses an energy threshold rather than probabilities as an acceptance criteria for annealing steps. The DPN-based pixel selection method gives priority to pixels which are segregated from clusters instead of random selection. An in-house solver has been developed to obtain two-dimensional reconstructions of heterogeneous two-phase mediums. Compared to conventional simulated annealing with random pixel swapping, the proposed method was found to achieve an optimal structure with up to an order of magnitude reduction in energy. When selecting a threshold tolerance value, the proposed method showed a 50% improvement in convergence time compared to conventional simulated annealing with random pixel swapping. The improved algorithm is used to study the effect of multiple correlation functions during the reconstruction. It was found that a combination of two-point correlation function and lineal path function for both phases results in most accurate reconstructions.
提出了一种基于阈值能量的能量最小化（TA）和基于不同相位邻居（DPN）的像素交换的重建方法。TA方法使用能量阈值而非概率作为退火步骤的接受标准。基于DPN的像素选择方法优先选择与聚类分离的像素而非随机选择。已开发出一种内部求解器以获得非均质两相介质的二维重建。与具有随机像素交换的传统模拟退火相比，发现所提出的方法能够实现最优结构，能量降低高达一个数量级。在选择阈值容差值时，与具有随机像素交换的传统模拟退火相比，所提出的方法在收敛时间上提高了50%。改进算法用于研究重建过程中多个相关函数的影响。发现两相的两点相关函数和线性路径函数的组合可实现最准确的重建。
