Peng Yuan, Mo Yulong
Department of Communication and Information Engineering, Shanghai University, Shanghai 200072.
Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2003 Dec;20(4):571-3.
Dynamic electrical impedance imaging is a non-linear inverse problem which is always discretized by finite element method and solved by linear model. Since the coefficient matrix of the linear model is ill-conditioned, the regularization method is used to get stable solution. However Tikhonov regularization is easy to realize, the selection of the regularization parameter is bothering. In this paper, according to the results of a great number of experiments, a new method for determining the regularization parameter is presented which uses the characteristic of the product of the norm of the error and the regularization solution. The reconstructed image using the regularization parameter selected by the proposed method has good spatial resolution.
动态电阻抗成像（DEI）是一个非线性反问题，通常采用有限元方法进行离散化，并通过线性模型求解。由于线性模型的系数矩阵是病态的，因此采用正则化方法来获得稳定解。然而，Tikhonov正则化易于实现，但正则化参数的选择却很麻烦。本文根据大量实验结果，提出了一种利用误差范数与正则化解乘积特性来确定正则化参数的新方法。使用该方法选择的正则化参数重建的图像具有良好的空间分辨率。
