Energy resolved neutron transmission techniques can provide high-resolution images of strain within polycrystalline samples allowing the study of residual strain and stress in engineered components. Strain is estimated from such data by analysing features known as Bragg-edges for which several methods exist. It is important for these methods to provide both accurate estimates of strain and an accurate quantification the associated uncertainty. Our contribution is twofold. First, we present a numerical simulation analysis of these existing methods, which shows that the most accurate estimates of strain are provided by a method that provides inaccurate estimates of certainty. Second, a novel Bayesian non-parametric method for estimating strain from Bragg-edges is presented. The numerical simulation analysis indicates that this method provides both competitive estimates of strain and accurate quantification of certainty, two demonstrations on experimental data are then presented.

中文翻译：

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用于中子传输应变成像的贝叶斯非参数布拉格边缘拟合

能量分辨中子传输技术可以提供多晶样品内应变的高分辨率图像，允许研究工程部件中的残余应变和应力。通过分析已知有几种方法的布拉格边缘特征，可以从这些数据中估计应变。对于这些方法来说，重要的是提供应变的准确估计和相关不确定性的准确量化。我们的贡献是双重的。首先，我们对这些现有方法进行了数值模拟分析，这表明最准确的应变估计是由提供不准确确定性估计的方法提供的。其次，提出了一种用于估计布拉格边缘应变的新型贝叶斯非参数方法。