3D Fringe Analysis and Phase Calculation for the Dynamic 3D Measurement

Physics – Optics

Scientific paper

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Fourier Transform Optics, Pattern Recognition, Optical Filters, Optical Elements, Image Reconstruction, Fourier Optics, Pattern Recognition, Filters, Zone Plates, And Polarizers, Optical Elements, Devices, And Systems, Image Reconstruction, Tomography

Scientific paper

Fourier Transform Profilometry (FTP) has been applied to three-dimensional (3D) shape measurement for decades and then been also used to dynamic 3D measurement for a couple of years. For dynamic process, a sequence deformed fringe patterns, which involved the 3D data of a shape-changing surface, were recorded by high speed CCD cameras. To figure out the surfaces about the dynamic objects, the patterns form this sequence is calculated with 2D Fourier Fringe Analysis (FFA) frame by frame during the years. As been collected sequentially in a relatively short time, those dynamic deformed fringe patterns have certain similarities and closed connections with each other. It will be a benefit for 3D phase calculation, so this sequence deformed fringe patterns can be fully taken into account rather than be spoiled in that frame by frame 2D FFA processing. In this paper, the entire set of fringes is treated as a whole by 3D FFA. As 4D information, the 3D Fourier frequency components have their own peculiarities along the spatial dimension and the temporal dimension. Lots of information, like how fast the surface changes, and how wide scope the surface mostly swings, will influence the 3D Fourier frequency components distribution. In order to save all those useful information from the dynamic surface models during the Fourier transform, a cylinder filtering window is applied to extract what we are interested in two dynamic models. After the 3D fringe analysis, the creditable phase information will be drawn out for the following shape reconstruction within a shorter time. And the difficulties of this reconstruction process will be reduced by 3D fringe analysis. All of those advantages have been proved by the computer simulation and the actual experiment.

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