基于原子轨道搜索算法的电阻层析成像图像重建

摘要：

由于电阻层析成像逆问题存在病态性和非线性特征，重建图像质量较低.为此，提出了一种基于原子轨道搜索算法(AOS)的电阻层析成像图像重建方法.首先，将原始电导率分布作为AOS算法的输人，并随机初始化搜索空间中的候选解位置;其次，将搜索空间划分为若干假想层，再利用概率密度函数确定候选解分布位置，并基于光子、粒子或磁场的相互作用对电子位置进行迭代调整，使整个系统能量最低;接着，对各假想层内的候选解进行比较，选取目标函数值最小的解作为整个搜索空间的最优解，即电导率分布修正信息，采用该修正信息对原始电导率分布进行修正得到优化后的重建图像;最后，通过仿真和实验验证了所提方法的有效性，并对噪声条件下的图像重建质量进行了评估。

Owing to ill-conditioned and nonlinear features of the inverse problem in electrical resistance tomography(ERT), reconstructed images show poor quality. To solve this problem, this paper presents an image reconstruction method based on the atomic orbit search(AOS) algorithm. Firstly, the original conductivity distribution is taken as the input of the a-tomic orbit search algorithm, and the positions of candidate solutions in the search space are randomly initialized. Secondly, the search space is divided into several hypothetical layers, and the distribution positions of candidate solutions are determined by the probability density function. The positions of electrons are iteratively adjusted based on the interaction of photons, parti-dles, or magnetic fields to minimize the energy of the entire system. Then, the candidate solutions in each imaginary layer are compared, and the solution with the smallest objective function value is selected as the optimal solution of the whole search pace which is the correction information of the conductivity distribution. The original conductivity distribution is corrected to obtain the optimized reconstructed image. Finally, the effectiveness of the proposed method is verified by simulation and experi-ment. The quality of image reconstruction under the noise condition is also evaluated.

作者：

王萌，韩舒悦，施艳艳，崔严，刘镇琨，吴雪冰

Wang Meng, Han Shuyue, Shi Yanyan, Cui Yan, Liu Zhenkun, Wu Xuebing

机构地区：

河南师范大学光电工程学院

引用本文：

王萌，韩舒悦，施艳艳等。基于原子轨道搜索算法的电阻层析成像图像重建[J].河南师范大学学报(自然科学版),2026, 54 (3): 101-107. (Wang Meng, Han Shuyue, Shi Yanyan, et al. Image reconstruction for electrical resistance tomography based on atomic orbital search algorithm[J].Journal of Henan Normal University(Natural Science Edition),2026,54(3):101-107.DOI:10.16366/j.cnki.1000-2367.2024.12.03.0001.)

基金：

国家社会科学基金；河南省科技攻关项目；河南省自然科学基金

关键词：

电阻层析成像;电导率分布;图像重建;原子轨道搜索优化

electrical resistance tomography; conductivity distribution; image reconstruction; optimization with atomicorbital search

分类号：

TP391

基于原子轨道搜索算法的电阻层析成像图像重建.pdf