Abstract
When a sinusoidal amplitude grating is projected on an object, the surface-height distribution of the object is translated to a phase distribution of the deformed grating image. In this paper, two algorithms developed for phase acquisition of such images are presented and compared. The phase-acquisition algorithms are sufficiently simple that high-resolution phase maps using a highresolution area detector array can be generated in a short time. The average detection error is within 30 mm, which can be reduced further by changing the period of the projected grating and the angle offset between the projection and the observation optics.
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References
Idesawa, M. andYatagai, T., “General Theory of Projection-Type Moiré Topography,”Sci. Papers I.P.C.R.,71,57–70 (1977).
Srinivasan, V., Liu, H.C. andHalioua, M., “Automated Phase-Measuring profilometry of 3-D Diffuse Objects,”Appl. Opt.,23,3105–3108 (1984).
Chang, M. andWang, D. S., “On-Line Automated Phase-Measuring Profilometry,”Opt. and Lasers in Eng.,15,127–139 (1991).
Koliopoulos, C.L., “Interferometric Optical Phase Measurement Techniques,” PhD Diss., Univ. of Arizona (1981).
Schwider, J., Burow, R., Elssner, K.E., Grzanna, J., Spolaczyk, R. andMerkel, K., “Digital Wavefront Measuring Interferometry: Some Systematic Error Sources,”Appl. Opt.,22,3421–3432 (1983).
Kinnstaetter, K., Lohmann, A.W., Schwider, J. andStreibl, N., “Accuracy of Phase Shifting Interferometry,”Appl. Opt.,27,5082–5089 (1988).
Chang, M., Hu, C.P., Lam, P. andWyant, J.C., “High Precision Deformation Measurement by Digital Phase Shifting Holographic Interferometry,”Appl. Opt.,24,3780–3783 (1985).
Creath, K., “Phase-Shifting Speckle Interferometry,”Appl. Opt.,24,3053–3058 (1985).
Sullivan, J.L., “Phase-Stepped Fractional Moiré,”Experimental Mechanics,31,373–381 (1991).
Harding, K.V., Michniewicz, M. andBoehnlein, A., “Small Angle Moiré Contouring,”SPIE,850,166–173 (1987).
Boehnlein, A. and Harding, K., “Field Shift Moiré, A New Technique for Absolute Range Measurement,” SPIE Annual Mtg. (1989).
Yu, Q., “Spin Filtering Processes and Automatic Extraction of Fringe Centerlines in Digital Interferometric Patterns,”Appl. Opt.,27,3782–3784 (1988).
Ning, P.T. andPeng, W.L., “Automatic Analysis of Moiré Fringe Patterns by Using an Image-Processing System,”Experimental Mechanics,28,350–354 (1988).
Chen, T.Y. andTaylor, C.E., “Computerized Fringe Analysis in Photomechanics,”Experimental. Mechanics,29,323–320 (1989).
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Chang, M., Ho, C.S. Phase-measuring profilometry using sinusoidal grating. Experimental Mechanics 33, 117–122 (1993). https://doi.org/10.1007/BF02322487
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DOI: https://doi.org/10.1007/BF02322487