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Conventional models of ESPI deformation measurement are valid only for planar objects, and then only in the paraxial region. If an object is non-planar, then accurate deformation values can only be recovered if the surface shape is also known. This is because the local sensitivity vectors of deformation are a function of both the illumination and observation directions, which vary with the 3D position of the object points. We present a compact ESPI system for measurement of both shape and deformation using a mutual optical configuration. We also introduce an efficient method of data analysis. The system is demonstrated on a vibrating cylinder, where the shape information is used to derive the true out-of-plane deformation on the cylinder surface.
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David I. Farrant, Jon N. Petzing, John Raymond Tyrer, Bozenko F. Oreb, "Combined deformation and shape measurement with ESPI," Proc. SPIE 3744, Interferometry '99: Techniques and Technologies, (13 August 1999); https://doi.org/10.1117/12.357749