An Inversion Algorithm for Electromagnetic Nondestructive Evaluation

求解逆问题的能力是电磁无损评估（NDE）的核心。这些问题很难解决有两个原因：它们在数学上是病态的，它们是非线性的，这意味着它们需要大量的计算工作，通常需要超级计算机的能力。在本提案中，我们描述了一种电磁（涡流）无损检测的反演算法，该算法将在广泛的机器上运行，从个人计算机和工作站到微型计算机和大型机器。此外，我们期望改进的鲁棒性将减轻不良条件的影响。该算法采用了集论估计和鲁棒统计分析的现代数学思想。本项目所开发的技术将适用于材料与结构无损评价、电磁层析成像、计算机视觉、制造科学技术等领域。

9360217 Sabbagh The ability to solve inverse problems lies at the heart of electromagnetic nondestructive evaluation (NDE). These problems are difficult to solve for two reasons: they are mathematically ill-conditioned, and they are nonlinear, which means that they involve considerable computational effort, often requiring supercomputer capabilities. In this proposal, we describe an inversion algorithm for electromagnetic (eddy-current) NDE that will run on a wide class of machines, from personal computers and workstations to minisuper-computers and larger machines. Furthermore, we expect an improved robustness that will mitigate the effects of ill-conditioning. The algorithm employs modern mathematical ideas of set theoretic estimation and robust statistical analysis. The technology that we are developing in this project will be applicable to nondestructive evaluation of materials and structures, electromagnetic tomography, computer vision, and manufacturing science and technology.