The fringe projection technique has been widely used in optical measurements. In this paper, we demonstrate a scheme to measure the 3D displacement of a deformed sample using Talbot fringe projection. In this process, we designed a two-dimensional square Talbot hologram. In this approach, we used the basic principle of triangulation, and a computer-controlled liquid crystal spatial light modulator (LC-SLM) was placed in the optical path. The Talbot array hologram was displayed on the LC-SLM screen and projected onto the surface of a sample. Two patterns were recorded: one before and one after deformation. We simultaneously acquired the in-plane and out-of-plane displacements using the digital image correlation (DIC) method. This scheme is simple and easily implemented. Theoretical and experimental results are presented.

中文翻译：

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使用Talbot条纹投影同时测量平面内和平面外位移

条纹投影技术已广泛用于光学测量中。在本文中，我们演示了一种使用Talbot条纹投影测量变形样品的3D位移的方案。在此过程中，我们设计了二维方形Talbot全息图。在这种方法中，我们使用了三角测量的基本原理，并且在光路上放置了计算机控制的液晶空间光调制器（LC-SLM）。Talbot阵列全息图显示在LC-SLM屏幕上，并投影到样品表面上。记录了两种模式：一种在变形之前，一种在变形之后。我们同时使用数字图像相关（DIC）方法获取了平面内和平面外位移。该方案简单易行。给出了理论和实验结果。