南京大学学报(自然科学版) ›› 2018, Vol. 54 ›› Issue (3): 571579.
刘笑远 *,王泽莹
Liu Xiaoyuan*, Wang Zeying
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。
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