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． First of all, we discuss the basic principle of using electrical network theory to conduct impedance tomography, and give two basic constraints that node admittance knowledge should obey. In order to speed up and improve the algorithm, a multi-resolution algorithm is proposed. According to this algorithm, firstly the object to be measured is discretized into larger units, first solved at coarse resolution, the result obtained is used as the initial value of estimation, and then the next level is resolved by fine resolution. Computer simulation results show that the use of multi-resolution technology can speed up the convergence and reduce errors.