Algebraic reconstruction for 3D magnetic resonance-electrical impedance tomography (MREIT) using one component of magnetic flux density
Algebraic reconstruction for 3D magnetic resonance-electrical impedance tomography (MREIT) using one component of magnetic flux density
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DOI：
10.1088/0967-3334/25/1/032
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发表时间：
2004-02-01
影响因子：
3.2
通讯作者：
Onart, S
中科院分区：
文献类型：
--
作者：
Ider, YZ;Onart, S
磁共振-电阻抗断层成像（MREIT）算法分为两类：利用内部电流密度的算法和仅利用测量磁通量密度的一个分量的算法。后一组算法具有对象不必在磁共振成像（MRI）系统中旋转的优点。提出了一种只利用被测磁通密度的一个分量的新算法。在该方法中，成像问题被公式化为一个非线性矩阵方程的解，迭代求解该方程以重建电阻率。数值模拟进行测试的无噪声和噪声的情况下的算法。的唯一性的解决方案进行监测，通过看矩阵的奇异值行为，它示出，至少有两个电流注入配置文件是必要的。该方法也被修改，以处理感兴趣的重建区域。特别是它示出，如果寻找某一xy切片的图像，则足以测量磁通量密度的z分量，直到该切片上方和下方的距离。该方法具有较强的鲁棒性，对所用的仿真模型具有较好的收敛性。
Magnetic resonance-electrical impedance tomography (MREIT) algorithms fall into two categories: those utilizing internal current density and those utilizing only one component of measured magnetic flux density. The latter group of algorithms have the advantage that the object does not have to be rotated in the magnetic resonance imaging (MRI) system. A new algorithm which uses only one component of measured magnetic flux density is developed. In this method, the imaging problem is formulated as the solution of a non-linear matrix equation which is solved iteratively to reconstruct resistivity. Numerical simulations are performed to test the algorithm both for noise-free and noisy cases. The uniqueness of the solution is monitored by looking at the singular value behavior of the matrix and it is shown that at least two current injection profiles are necessary. The method is also modified to handle region-of-interest reconstructions. In particular it is shown that, if the image of a certain xy-slice is sought for, then it suffices to measure the z-component of magnetic flux density up to a distance above and below that slice. The method is robust and has good convergence behavior for the simulation phantoms used.