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MRI Coil Design Using Boundary-Element Method With Regularization Technique: A Numerical Calculation Study

机译:基于边界元法和正则化技术的MRI线圈设计:数值计算研究

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摘要

A new boundary element method (BEM) based method is described for the design of coils for magnetic resonance imaging (MRI) systems. BEM is an effective approach for solving the electromagnetic forward problem and has been used in the design of MRI gradient coils. However, BEM-based gradient coil design faces an ill-posed mathematical problem, which is conventionally handled by means of a Lagrange multiplication method. This work attempts to improve the BEM method for MRI coil designs by applying the Tikhonov regularization scheme to solve the ill-posed matrix system formulated by the BEM forward model. The objective of the study is not to design some specific gradient or radio-frequency (RF) coils for MRI system, but to discuss the design scheme with practical regularization and constraints. The proposed approach was explained in the design of MRI coils including biplanar transverse gradient coils and RF phased array coils. With the consideration of the practical engineering requirements, physical constraints such as wire intervals are transformed into mathematical constraints and formulated into BEM equations. The examples demonstrate that the proposed method is efficient and flexible for the design of MRI coils with arbitrary geometries and engineering constraints.
机译:描述了一种新的基于边界元方法(BEM)的方法,用于磁共振成像(MRI)系统的线圈设计。 BEM是解决电磁正向问题的有效方法,已用于MRI梯度线圈的设计中。但是,基于BEM的梯度线​​圈设计面临着不适的数学问题,该问题通常通过拉格朗日乘法方法来解决。这项工作试图通过应用Tikhonov正则化方案来解决BEM正向模型公式化的不适定矩阵系统,从而改进MRI线圈设计的BEM方法。该研究的目的不是为MRI系统设计一些特定的梯度线圈或射频(RF)线圈,而是讨论具有实际正则化和约束条件的设计方案。在包括双平面横向梯度线圈和RF相控阵线圈的MRI线圈的设计中解释了提出的方法。考虑到实际的工程要求,将诸如导线间隔之类的物理约束转换为数学约束,并公式化为BEM方程。实例表明,所提出的方法对于具有任意几何形状和工程约束的MRI线圈的设计是有效且灵活的。

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