Department of Electrical and Computer Engineering, National Chiao Tung University, Hsinchu, Taiwan.
Institute of Biomedical Engineering, National Chiao Tung University, Hsinchu, Taiwan.
PLoS One. 2017 Dec 5;12(12):e0188993. doi: 10.1371/journal.pone.0188993. eCollection 2017.
Electrical Impedance Tomography (EIT) is a powerful non-invasive technique for imaging applications. The goal is to estimate the electrical properties of living tissues by measuring the potential at the boundary of the domain. Being safe with respect to patient health, non-invasive, and having no known hazards, EIT is an attractive and promising technology. However, it suffers from a particular technical difficulty, which consists of solving a nonlinear inverse problem in real time. Several nonlinear approaches have been proposed as a replacement for the linear solver, but in practice very few are capable of stable, high-quality, and real-time EIT imaging because of their very low robustness to errors and inaccurate modeling, or because they require considerable computational effort.
In this paper, a post-processing technique based on an artificial neural network (ANN) is proposed to obtain a nonlinear solution to the inverse problem, starting from a linear solution. While common reconstruction methods based on ANNs estimate the solution directly from the measured data, the method proposed here enhances the solution obtained from a linear solver.
Applying a linear reconstruction algorithm before applying an ANN reduces the effects of noise and modeling errors. Hence, this approach significantly reduces the error associated with solving 2D inverse problems using machine-learning-based algorithms.
This work presents radical enhancements in the stability of nonlinear methods for biomedical EIT applications.
电阻抗断层成像(EIT)是一种强大的非侵入性成像技术。其目标是通过测量域边界处的电势来估计生物组织的电学特性。EIT 对患者健康安全、非侵入式、无已知危害,是一种有吸引力和有前途的技术。然而,它存在一个特殊的技术难题,即实时求解非线性反问题。已经提出了几种非线性方法来替代线性求解器,但在实践中,由于其对误差和不准确建模的鲁棒性极低,或者由于需要大量的计算工作,很少有方法能够实现稳定、高质量和实时的 EIT 成像。
本文提出了一种基于人工神经网络(ANN)的后处理技术,从线性解开始获得非线性反问题的解。虽然常见的基于 ANN 的重建方法直接从测量数据估计解,但这里提出的方法增强了从线性求解器获得的解。
在应用 ANN 之前应用线性重建算法可以降低噪声和建模误差的影响。因此,这种方法显著降低了使用基于机器学习的算法求解 2D 反问题相关的误差。
这项工作在生物医学 EIT 应用的非线性方法的稳定性方面带来了重大改进。