基于电流与对比度联合估计的微波断层扫描算法
On Algorithms Based on Joint Estimation of Currents and Contrast in Microwave Tomography
AI总结:
针对微波断层扫描中广泛使用的对比源反演方法,提出两种基于改进准则和优化策略的新算法,分别利用共轭梯度算法和预处理共轭梯度算法实现更高效的联合估计。
摘要:
本文涉及对微波断层扫描中广泛使用的对比源反演方法的改进。首先,回顾了该方法,并指出了准则形式和优化策略的弱点。然后,提出了两种新算法。两者基于相同的准则,与对比源反演中使用的准则相似但更稳健。第一种技术保留了对比源反演优化方案的主要特征,但基于对共轭梯度算法的更好利用。第二种技术基于预处理共轭梯度算法,并同时更新通常顺序处理的多组未知量。两种技术均被证明比原始对比源反演更有效。
英文摘要:
This paper deals with improvements to the contrast source inversion method which is widely used in microwave tomography. First, the method is reviewed and weaknesses of both the criterion form and the optimization strategy are underlined. Then, two new algorithms are proposed. Both of them are based on the same criterion, similar but more robust than the one used in contrast source inversion. The first technique keeps the main characteristics of the contrast source inversion optimization scheme but is based on a better exploitation of the conjugate gradient algorithm. The second technique is based on a preconditioned conjugate gradient algorithm and performs simultaneous updates of sets of unknowns that are normally processed sequentially. Both techniques are shown to be more efficient than original contrast source inversion.
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