利用网络理论进行电阻抗层析成像中的多分辨率技术

利用网络理论进行电阻抗层析成像中的多分辨率技术 MULTIRESOLUTION IN ELECTRICAL IMPEDANCE TOMOGRAPHY 王延平 1 first-author 殷忠军 1 胡正仪 1 武汉大学电子信息学学院 武汉大学电子信息学学院 College of Electronic Information,Wuhan University College of Electronic Information,Wuhan University 首先讨论利用网络理论进行电阻抗层析成像的基本原理，并给出了节点导纳知阵所应服从的两个基本约束．为了加速和改进算法，提出了多分辨率的算法．按照这一算法，首先将被测物体离散化为较大的单元，先在粗分辨率下进行求解，利用所得的结果作为估计的初值，再进行下一级较细分辨求解．计算机模拟结果表明，利用多分辨率技术可以加快收敛，减小误差． The problem of Electrical Impedance Tomography is solved by using network theoy. The inhomogeneous object is modeled by an n-node conductancenetwork. Depending on the model and the special current injecting patterns, two kinds of constraints are used during the reconstruction. In order to overcome the shortcomings brought by the non-convexity of the constraint sets, multiresolution technique is proposed to conduct the iteration procedure.Computer simulation results are also shown. 电阻抗层析成像 层析成像 多分辨率技术 Elctrical Impedance Tomography tomography multiresolution technique TN941.1 国家自然科学基金(61672102) 1995-03-01 2021-04-01 3