中文摘要：

对一维感应式的磁共振电阻抗成像技术进行原理性研究。针对同心圆盘模型推导了正问题的计算方法及逆问题的重建原理公式,通过仿真分析验证重建方法的正确性,并考察了该方法的抗噪性能。将为进一步研究感应式磁共振电阻抗成像技术的原理及实践提供理论基础。

英文摘要：

A theoretical study on the 1-D reconstruction algorithm of inductive magnetic resonance electrical impedance tomography（MREIT） is given by this article. The computing method of the forward problem and the reconstruction equations of the inverse problem are proposed by using the concentrical disk model. Numerical simulations are performed to test the algorithm for both noise-free and noisy cases. It can be seen as the theoretical basic for the future study on inductive MREIT.