摘要： 电阻抗图象重建是一个严重病态的反问题，特别是当重建模型的有限单元数增大时，重建图象会变差，甚至发散。提出一种全新的基于空间滤波理论的正则化方法，它不依赖于阻抗分布的先验估计，因此它比最大后验（ＭＡＰ）正则化方法易于实现；而且计算机模拟实验结果表明，利用这种新的正则化方法重建的动态阻抗图象质量好于ｉｋｈｏｎｏｖ正则化方法。

关键词: 正则化方法, 电阻抗成象, 图象重建, 反问题, 病态特性

Abstract: Image reconstruction in electrical impedance tomography (EIT) is a highly ill-posed inverse problem. Especially, the reconstructed images will become bad, even divergent, as the finite elements in the reconstructed model increase. We developed a new regularization method based on the spatial filtering theory, which is independent on the estimation of impedance distribution. So it can be implemented easier than the maximum a posteriori(MAP) method, and the computer simulation results demonstrate that the quality of the reconstructed dynamic impedance images with the new regularization method is better than with Tikhonov method.

中图分类号: 

• TP274