Breckon W R, Pidcock M K
Department of Computing and Mathematical Sciences, Oxford Polytechnic, UK.
Clin Phys Physiol Meas. 1988;9 Suppl A:105-9. doi: 10.1088/0143-0815/9/4a/018.
In electrical impedance tomography the reconstruction problem is a non-linear inverse problem and can only be solved by iterative methods. This paper describes two such algorithms, one based on the regularised Newton's method of Levenburg and Marquardt, and a second modified version of this algorithm which uses optimal current drive patterns. The second algorithm is shown to give superior reconstruction in a simulation study. Some effects of errors in the knowledge of boundary shape and electrode position are also discussed.
在电阻抗断层成像中，重建问题是一个非线性反问题，只能通过迭代方法求解。本文描述了两种这样的算法，一种基于Levenburg和Marquardt的正则化牛顿法，另一种是该算法的改进版本，它使用最优电流驱动模式。在模拟研究中，第二种算法显示出更好的重建效果。还讨论了边界形状和电极位置知识误差的一些影响。
