正弦均匀磁场激励磁感应成像正问题的棱单元法

The edge element method in the forward problem of magnetic induction tomography with homogeneous sinusoidal magnetic excitation

针对正弦均匀磁场激励磁感应成像(magnetic induction tomography,MIT)正问题,进行了棱边有限元法和可视化成像的研究。建立了以电场强度为待求场矢量的正问题定解方程,重点介绍了计算定解方程的棱边有限元方法,并在MATLAB中建立了棱边有限元方程的计算流程。为实现MIT对颅内出血的可视化成像,首先根据人体头部核磁共振图像数据生成了真实大脑有限元剖分模型,在此基础上用MATLAB得到了MIT对颅内出血的三维可视化成像结果。研究结果证明了以电场强度为待求量的正弦均匀磁场激励MIT正问题定解方程和棱边有限元计算方法的正确性。基于真实大脑模型的三维可视化成像结果为MIT在颅内出血成像的应用研究奠定了基础。

The edge finite element method and the imaging visualization have been studied in the forward problem of magnetic induction tomography （MIT） with homogeneous sinusoidal magnetic excitation. The definite equations of the forward problem were established using the electric field intensity as the vector variable. The edge FE method for solving the definite equations was introduced in detail and realized as the MATLAB program. In order to realize the visualization of MIT in imaging the intracranial hemorrhage, a real human brain finite element model was created with the human head MRI data. On the basis of this model, we realized the 3D visualization of MIT imaging in MATLAB. The research results demonstrated the validity of the definite equations and the edge FE method in calculating the forward problem. And the 3D visualization of MIT imaging with real human brain model established a foundation for the application study of MIT in imaging intracranial hemorrhage.