Spatial Uncertainty in Digital Image Correlation

This is the original materials of my paper "spatial uncertainty of measurement errors in digital image correlation."<br>The spatial uncertainty is caused by the differences of intensity distribution between different subsets. In the paper, I try to build a theoretical model to estimate the spatial uncertainty of measurement errors in DIC for speckle patterns that are composed of randomly positioned speckles. The essenstial difference between this paper and my previous work "statistical model for speckle pattern optimization" is that this work can estimate the spatial uncertainty while the previous work can't.<br>The data set, which is the same as our previous paper, can be found in Figshare. The "SpatialUncertainty" contains the MATLAB codes.<br>The mathematical derivations are somewhat complex, so I upload my note. In the note, the derivation details can be found. A problem may be that this note is written in Chinese...<br>If you have any question or find something is wrong, you can send me an email. My email address is [e-mail].本资源为本人论文《数字图像相关中测量误差的空间不确定性》（spatial uncertainty of measurement errors in digital image correlation）的原始素材。该空间不确定性源于不同子集间的强度分布差异。本文旨在构建理论模型，用以估算由随机分布散斑构成的散斑图案的数字图像相关（Digital Image Correlation, DIC）测量误差空间不确定性。本研究与此前发表的《散斑图案优化的统计模型》（statistical model for speckle pattern optimization）一文的核心差异在于：本研究可实现空间不确定性的估算，而此前工作无法完成该任务。本数据集与本人此前论文所用数据集一致，可在Figshare平台获取。其中"SpatialUncertainty"文件夹包含MATLAB代码。由于数学推导过程较为复杂，本人上传了推导笔记以展示详细推导步骤。需说明的是，该笔记为中文撰写。若您有任何疑问或发现疏漏，可通过邮箱与我联系，邮箱地址：[e-mail]。