南京大学学报(自然科学版) ›› 2018, Vol. 54 ›› Issue (3): 571–579.

• • 上一篇    下一篇

基于准静态场的新型灵敏度系数计算方法

刘笑远 *,王泽莹   

  • 出版日期:2018-05-23 发布日期:2018-05-23
  • 作者简介:天津大学电气自动化与信息工程学院,天津,300072
  • 基金资助:
    国家自然科学基金(61573251)

A new calculation method of sensitivity coefficient based on quasi-static field

Liu Xiaoyuan*, Wang Zeying   

  • Online:2018-05-23 Published:2018-05-23
  • About author:School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China

摘要: 电学层析成像技术(Electrical Tomography,ET)具有经济性、无侵入性和实时性的特点,在工业过程检测、生物医学诊断等领域取得广泛的应用。在图像重建过程中,灵敏度系数作为先验信息,在计算中起到关键作用。然而,现有的灵敏度系数计算方法的物理意义不够明确、可解释性差、自适应性不足且具有较强的假设性,是当前提高ET成像质量的主要障碍之一。本文从准静态场灵敏度系数的物理意义出发,将电流激励状态下的激励与接地电极等效为一对偶极子,推导出一种新的具有明确的物理意义的、可解释性强并且可操作的灵敏度系数计算方法。最后,将新灵敏度系数与原灵敏度系数在数值、投影区和计算时间上进行比较,并通过灵敏度反投影法分别使用两种不同的灵敏度系数对四个模型进行图像重建。结果表明,新方法与原采用定义计算的结果吻合,并且新灵敏度系数在数据抗噪声、计算时间、图像重建等方面具有一定优势。

Abstract: Electrical Tomography (ET) is an advanced visualizing technique which is efficient, non-invasive and real-time, and has been widely used in industrial process detection and biomedicine diagnosis. As a priori information and an indispensable part, the sensitivity coefficient plays a significant role in the ET process. However, the existing calculation method of sensitivity coefficient has the drawbacks of ambiguity, lack of explanation capacity, poor adaptability and linear hypothesis, which results in an obstacle of improving the quality of reconstructed images and restricts the development of ET process. This paper starts from the physical significance of sensitivity coefficient in quasi-static field. In the Electrical Resistance Tomography (ERT) field, the relationship between each pair of excitation electrodes can be equivalent to a pair of dipoles. Furthermore, each corresponding measured point can be equivalent to a pair of dipoles. Then, corresponding to the distribution of physical field, a new method of calculating the sensitivity coefficient is proposed, which has the advantages of clear physical significance, strong interpretability and operability. Finally, in the COMSOL with MATLAB platform, a set of experiments was established to test the performance of the new method. During the simulation, the new sensitivity coefficient was compared with the original sensitivity coefficient in the numerical, projection area and calculation time. Besides, the two different sensitivity coefficients and the sensitivity coefficient back projection (BP) method were used to reconstruct the four typical models: three circles model, discrete vesicle model, double lung model and cross model. Through a series of simulation and analysis, the results show that the new method is feasible and consistent with the numerical distribution of the original calculating results. Moreover, the new sensitivity coefficient solution has better performances in noise immunity, computation time and image reconstruction.

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