Vol.5 No.9 (September 2015)
The Application of Symmetry Analysis in Electrical Impedance Tomography with Single Target
惠小强 ：西安邮电大学物联网与两化融合研究院，陕西 西安
In order to improve the present algorithm of electrical impedance tomography and develop the application value of physics, the symmetry analysis is used to study the electrical impedance to-mography with single target. Comsol multiphysics 4.3a is used to design a thin disc experimental system with 16 electrodes, the current is in- and out-put from the endpoints of one diameter, 7 potential differences of symmetry points that correspond to the current diameter are analyzed and their relation with the vector position and radius of the target small circle’s center are also discussed. Using symmetry analysis can determine the vector position of the small circle’s center and its radius in which π/8 central angle, this is very important for the initial value choosing of static electrical impedance tomography algorithm; the vector position of target circle’s center and its radius have different effect to the 7 potential difference and these different effect can be used to remove some uncertainty about to determine the vector position of target circle’s center and its radius, this point has important reference value for improving the imaging quality and velocity; and the symmetry analysis is decisive for those only need judge “yes or no” cases.
惠小强 , 范日耀 , 常甜甜 , 石 国芳 (2015) 对称性分析在单目标电阻抗成像中的应用。 应用物理， 5， 94-105. doi: 10.12677/APP.2015.59014
 Maxwell, J.C. and Niven, W.D. (1890) Scientific papers of James Clerk Maxwell. Cambridge University Press, Cambridge.
 肖庭延, 于慎根, 王彦飞 (2003) 反问题的数值解法. 科学出版社, 北京.
 黄卡玛, 赵翔 (2005) 电磁场中的逆问题及应用. 科学出版社, 北京.
 王彦飞 (2007) 反演问题的计算方法及其应用. 高等教育出版社, 北京.
 Edic, P.M., Saulnier, G.J., Cheney, M., Isaacson, D., Newell, J.C., Gisser, D. and Cook, R.D. (1993) Implementation of a real-time electric impedance tomograph. Proceedings of the 15th Annual International Conference, IEEE Engineering in Medicine and Biology Society, San Diego, 84-85.
 Simske, S.J. (1987) An adaptive current determination and a one-step reconstruction technique for a current tomography system. MS Thesis, Rensselaer Polytechnic Institute, Troy.
Cheney, M., Isaacson, D., Newell, J.C., Simske, S. and Goble, J.C. (1990) NOSER: An algorithm for solving the inverse conductivity problem. International Journal of Imaging Systems and Technology, 2, 66-75.
 Shinkarenko, V. and Kostromina, E. (1995) Application of electrical impedance tomography in physical loading and pathophysiological studies. Proceedings of the IX International Conference of Electrical Bio-Impedance, Heidelberg.
Griffiths, H. and Ahmed, A. (1987) Electrical impedance tomography in three dimensions. Clinical Physics and Physiological Measurement, A8, 103-107.
 马中骐 (1998) 物理学中群论. 科学出版社, 北京.