Abstract
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.
Highlights
As an example of a fringe-based technique, fringe projection has been widely used to develop measurement systems at the macroscopic and microscopic levels [1,2,3,4,5,6]. is technique can be used to generate 3D full-field noncontact topography images of objects with high resolution, high speed, and fast data processing [7]
The in-plane displacement u measured by the digital image correlation (DIC) method has unit pixels, so the actual physical distance is given by Δx Mu, where M is the magnification of the imaging system. us, the out-ofplane displacement w can be expressed as follows [30]: w ku, (4)
E experimental results show that the out-of-plane displacement of the sample can be obtained using Talbot fringe projection. is conclusion is consistent with the results presented in the literature [32], in which DIC is used to analyze out-of-plane deformation in turbid fluids, and the optical flow method is used to measure the out-of-plane component of the deformation phase [37]
Summary
College of Physics and Electronic Engineering, Taishan University, Tai’an, Shandong 271000, China. E fringe projection technique has been widely used in optical measurements. 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. 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. E 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. is scheme is simple and implemented. eoretical and experimental results are presented
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