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Design of Gradient Coil for Magnetic Resonance Imaging Applying Particle-Swarm Optimization

机译:基于粒子群算法的磁共振成像梯度线圈设计

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摘要

Designing a gradient coil for magnetic resonance imaging (MRI) is an electromagnetic inverse problem often formulated as a constrained optimization, which has been successfully solved by inverse boundary element methods. The constant search for new coil features and improved performance has highlighted the need of employing more versatile optimization techniques capable of dealing with the new requirements. In this paper, the solution of linear and nonlinear optimization problems using particle-swarm optimization (PSO) algorithms is presented. Examples of coil designed using this heuristic method are shown, including a comparison to solutions provided by conventional optimization approaches. Numerical experiments reveal that the application of PSO for the solution of inverse boundary element problems for coil design is a computationally efficient algorithm that is capable of handling nonlinear problems and that offers fast convergence, especially for those symmetric coil geometries where the computational effort can be drastically reduced by using suitable dimensionality-reduction techniques.
机译:设计用于磁共振成像(MRI)的梯度线圈是一个电磁逆问题,通常被公式化为约束优化,已通过逆边界元素方法成功解决。不断寻找新的线圈特性和改善的性能,突出了需要采用能够应对新要求的更通用的优化技术。在本文中,提出了使用粒子群优化(PSO)算法解决线性和非线性优化问题的方法。显示了使用这种启发式方法设计的线圈示例,包括与常规优化方法提供的解决方案的比较。数值实验表明,PSO在求解线圈设计中的逆边界元问题时的应用是一种计算效率高的算法,能够处理非线性问题并提供快速收敛性,尤其是对于那些对称计算的几何形状,其计算工作量会非常大的情况通过使用适当的降维技术来减少。

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