目的:通过一种新的电阻抗断层成像算法-算子分解方法,以期该算法分析并运用到实际的电阻抗成像问题中.方法:构造了Neumann-Dirichlet算子并论述了其性质,通过技巧性处理得到了较为实用的算子分解方法的主要结论.结果:在全电极边界条件模型下,应用算子分解方法的正则化技术分别得到了无噪声和有噪声两种情况的测试点的示意图及多目标的重构结果.结论:算子分解方法提供了一种较为简单的、鲁棒的电阻抗断层成像算法,对于加噪后的多目标重构以及测量边界变形都有较优的性能.%Objective: The factorization method is a new tool for recovering inclusions inside a region when the Neumann-Dirichlet operator is known. Methods: In this paper, we briefly sketch the basic properties and main results of difference of two Neumann-Dirichlet operators. Results: Within the complete model, we can obtain illustrations of two test points and reconstructions of a phantom with/without random noise. Conclusions: The factorization method is a simple and robust algorithm. The result validates the proposed algorithm when the data are noisy and boundary deformation.
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