基于BEM的腔内电阻抗成像的仿真研究

发布时间：2018-06-21 12:00

本文选题：腔内电阻抗成像 + 边界元法　；参考：《河北工业大学》2012年硕士论文

【摘要】：腔内电阻抗成像（EIE）技术是在电阻抗成像（EIT）技术基础上发展起来的一项功能成像技术，它是将电极放置在绝缘导管的探针上，然后把探针直接置于感兴趣的器官内部，通过电极注入激励电流，并测量相应的电压信号通过逆问题算法重建组织内部的电阻抗分布情况。本论文首先介绍了EIE技术的研究概况和成像原理，对EIE的数值计算方法进行了综述。接着，研究了EIE正问题的边界元法。推导了正问题求解的边界积分方程，建立了二维、三维仿真模型，进行了正问题计算，达到了理想的精度，，为逆问题的求解打下基础。进而，对参数化重建思想进行了研究，建立了二维椭圆和三维椭球的参数化模型，用少数参数表征了模型的性质。最后，对微分进化算法进行了研究，并针对二维模型进行参数化重建。结果表明，通过迭代得到的图像与目标图像相吻合，达到了定位的目的。
[Abstract]:Intracavity electrical impedance tomography (EIE) is a functional imaging technology developed on the basis of electrical impedance imaging (EIT) technology. It is placed on the probe of an insulated catheter, and then put the probe into the internal organs of the interested organ, injecting the electric current through the electrode, and measuring the corresponding voltage signal through the inverse problem algorithm. The distribution of electrical impedance in the building.
This paper first introduces the research situation and imaging principle of EIE technology, summarizes the numerical calculation method of EIE. Then, the boundary element method of EIE positive problem is studied. The boundary integral equation of the solution of the positive problem is derived, the two-dimensional and three-dimensional simulation model is established, the positive problem is calculated, the ideal precision is reached and the inverse problem is obtained. Then, the parameterized reconstruction idea is studied, the parameterized model of the two-dimensional ellipse and the ellipsoid is established, and the properties of the model are characterized with a few parameters. Finally, the differential evolution algorithm is studied and the two dimensional model is parameterized and rebuilt. The results show that the images and targets obtained through the iteration are obtained. The image is in good agreement, and the purpose of positioning is achieved.
【学位授予单位】：河北工业大学
【学位级别】：硕士
【学位授予年份】：2012
【分类号】：R310;TP301.6

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