三维磁共振磁感应成像重建方法研究

3-D Reconstruction Algorithm of Magnetic Resonance Magnetic Induction Tomography

对三维磁共振磁感应成像技术进行原理性研究。针对非均匀电导率模型推导了正逆问题的原理公式,重建算法将逆问题求解中的三维问题转化为二维问题,提高了计算速度。仿真实验证明,只通过一次计算即可得到较为理想的重建结果,且误差在可接受范围内,为三维磁共振磁感应成像重建算法的进一步研究提供了参考。

A theoretical study on 3-D reconstruction algorithm of magnetic resonance magnetic induction tomography（MRMIT） was given in this paper.The computing method of the forward problem and the reconstruction equation of the inverse problem were proposed by using the non-uniform conductivity model.The 3-D problem in the inverse problem of reconstruction algorithm was predigested into 2-D problem,and the calculating speed was accelerated.Numerical simulations were performed to test the algorithm for feasibility.The results showed the correctness of one-step calculation,and the error resulted from the method was accepted,laying a theoretical basic for the future study on 3-D reconstruction algorithm of MRMIT.