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中文摘要：
圆形的电的阻抗断层摄影术(EIT ) 的一个直觉的 2D 模型有小尺寸电极的传感器基于分析功能的理论被建立。模型的 Thevalidation 从 Laplace 方程的答案用结果被证明。建议在上到到敏感的有病条件的性质的电极优化和解释，矩阵基于模型被提供，它考虑电极距离并且能通过保角的转变与任何简单连接区域被概括到传感器。图象重建算法基于模型被实现用从在 TianjinUniversity 开发的 EIT 系统收集的试验性的数据显示出模型的可行性。在有一种人的像胸的配置的模拟，电的传导性分布基于模型的保角的转变用等位的背设计(EBP ) 和 Tikhonovregularization (TR ) 被重建。算法对联机图象重建基于模型合适，重建的结果在尺寸和位置两个都好。
英文摘要：
An intuitive 2D model of circular electrical impedance tomography （EIT） sensor with small size electrodes is established based on the theory of analytic functions. The validation of the model is proved using the result from the solution of Laplace equation. Suggestions on to electrode optimization and explanation to the ill-condition property of the sensitivity matrix are provided based on the model, which takes electrode distance into account and can be generalized to the sensor with any simple connected region through a conformal transformation. Image reconstruction algorithms based on the model are implemented to show feasibility of the model using experimental data collected from the EIT system developed in Tianjin University. In the simulation with a human chestlike configuration, electrical conductivity distributions are reconstructed using equi-potential backprojection （EBP） and Tikhonov regularization （TR） based on a conformal transformation of the model. The algorithms based on the model are suitable for online image reconstruction and the reconstructed results are aood both in size and position.
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