【作者】 吴焕丽；

【导师】 徐桂芝；

【作者基本信息】 河北工业大学 ， 电工理论与新技术， 2004， 硕士

【摘要】 生物医学电阻抗成像技术是医学成像技术的一个新兴方向，是当今国际生物医学工程学重大研究课题之一。近几年来，国际医学成像界对EIT(electrical impedance tomography)的研究日益深化，已经由试验阶段逐渐转向临床阶段，很多研究小组已经将他们的注意力转向了三维EIT问题的研究。根据实际需要，本文从EIT问题的二维情况入手，重点进行三维EIT正问题的研究，为将来三维EIT逆问题的研究打下基础。 文章主要分以下几个方面： 1．对生物电阻抗层析成像技术的国内外发展状况进行了综述，并对该技术的应用前景进行了展望。 2．对二维EIT基础进行介绍，其中包括二维正问题和逆问题。将正问题有限元数值解与解析解进行了比较，结果表明有限元数值解法能够得到较高的计算精度。 3．在二维研究的基础上进行了三维EIT正问题的研究，分析了均匀球模型和多层球模型内部阻抗分布和节点电位及边界电位分布的关系。在进行正问题计算时，采用自编程剖分球模型进行正问题的计算，并且进行了均匀球数值解和解析解的比较。结果表明，有限元数值解法和解析解求得的节点电位基本吻合的。更多还原

【Abstract】 Biomedical impedance tomography is a new dynamic in the medical imaging. In the recent years enormous progress has been made in this area since this technology were established. The technology has been advanced to be one of the important research subjects of the international biomedical engineering. With the lucubration on the electrical impedance tomography (HIT), many groups are now paying more attention to the three-dimensional case. Thus this thesis is aimed at the three-dimension forward problem of the EIT, beginning with the research on the two-dimension situations, in order to lay the foundation of the research on the three dimension inverse problem. The research work is as folio wings:1.The states of the developing in biomedical EIT and its applications foreground are concisely reviewed.2.The basic research on two-dimension EIT which includes the two-dimension forward and inverse problems is introduced. The comparison between the numerical solution got by (finite element method)FEM and the analytical solution shows that the numerical solution got by FEM is precise enough.3.On the basis of the research on the two-dimension, the three-dimension EIT forward problem is studied. The potential distributions change with the different conductivity not only in the uniform but also in the four-sphere models. When it comes to the numerical computation methods, we used the models both the ones divided by myself and by the existing software. Then the results show that the numerical solutions are close to the analytical ones.更多还原