开放式电阻抗成像中变差正则化重构算法

Open-electrical impedance tomography with variation regularization algorithm

采用单排固定电极模式的开放式电阻抗成像(open electrical impedance tomography,OEIT)克服封闭式电阻抗成像在临床运用中重构模型适应性差、电极定位误差大以及操作简便性差等弊病。针对OEIT逆问题求解中更加严重的病态性问题,提出以变差函数作为罚函数项的变差正则化算法获得适定的重构解。仿真实验和水槽实验表明:变差正则化算法可有效求解OEIT重构的逆问题,重构图像能够正确反映位于电极下浅表层区域的目标位置、大小,并在一定程度上反映电导率的相对值。OEIT以其简便快速而更具潜在的临床实用价值。

Open electrical impedance tomography（OEIT） with fixed electrode row is proposed to overcome the clinical application problems in closed electrical impedance tomography such as poor model adaptability,electrode position error,and inflexibility.Variation regularization algorithm（VRA） using variations function as regularization penalty term is proposed to save the more serious ill-posed inverse problem of OEIT.Simulation and experiment results show that the inverse problem of OEIT can be efficiently solved by VRA.The position,size and the relative value of conductivity of target at shallower position below electrodes can be clearly reflected by the restored image.OEIT is more potentially practical and effective in clinical applications.