The Structural Materials and Mechanics Research Group

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Projection Moiré

Basic principles: 

The fringe projection technique allows measuring the 3D shape of objects using very simple experimental apparatus. A grating is projected onto the object of interest and an image is collected by a digital camera that views the object surface from a different direction. The separation of the projected fringes from a straight lines in the object image is related to the surface shape. The following expression describes the intensity distribution of the fringe pattern: I(x,y)=A(x,y)+B(x,y)cos(w(x,y)x+f) Where the modulated phase w(x,y) is an unknown, and is proportional to the surface height. A novel computational algorithm has been developed in the University of Sheffield to efficiently calculate the phase map from a single object image and a reference image, that can either be artificially generated (a virtual grating) or an image recorded of a flat plane without the object of interest. The phase obtained using this method is wrapped in the interval (-2p,2p), and must be unwrapped and calibrated to yield a continuous map with the information about the out-of-plane dimensions of the object. This technique has applications in non-destructive testing, quality control and machine vision. 

1. Asai, K. "Contouring method by moiré holography". Jpn. J. Appl. Phys. 16(10) 1805-1808 (1977)
2. Asundi, "A. Projection moiré using PSALM", Photomechanics and Speckle Metrology II, F. P. Chiang, Ed. Proc. SPIE 1554, (1991) p257-265
3. Asundi, A.W. "Computer-aided moiré methods", Opt. Lasers Eng., Vol. 18 (1993), p213-238
4. Hibino, K.M. "Susceptibility of systematic error-compensating algorithms to random noise in phase-shifting interferometry", Appl. Optics, Vol. 36 (1997), p2084-2093
5. Hibino, K.M., Oreb, B.F., Farrant, D.I., Larkin, K.G. "Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts", J. Opt. Soc. Am. A, Vol. 14 (1997), p918-930
6. Kong, I.B., Kim, S.W."General algorithm of phase-shifting interferometry by iterative least-squares fitting", Opt. Eng., Vol. 34 (1995), p183-188
7. Kujawinska, M. , Salbut, L., Patorski, K. "Three-channel phase stepped system for moiré interferometry", Applied Optics Vol. 30, (1991), p1663
8. Phillion, D.W. "General methods for generating phase-shifting interferometry algorithms", Appl. Optics, Vol. 36 (1997), p8098-8115
9. Rathjen, C.R. "Statistical properties of phase-shift algorithms", J. Opt. Soc. Am. A, Vol. 12 (1995), p1997-2008
10. Schatzel, K., Parry, G. "Real time moiré measurement of phase gradient", Opt. Acta 29(11), (1982), p1441-1445
11. Schmit, J.R., Creath, K.R. "Extended averaging technique for derivation of error- compensating algorithms in phase-shifting interferometry", Appl. Optics, Vol. 34 (1995), p3610-3619
12. Schmit, J.R., Creath, K.R. "Window function influence on phase error in phase-shifting algorithms", Appl. Optics, Vol. 35 (1996), p5642-5649
13. Schwider, J., Dresel, T., Manzke, B." Some considerations of reduction of reference phase error in phase-stepping interferometry", Appl. Optics, Vol. 38 (1999), p655-659
14. Simova, E.S., Stoev, K.N. ""Phase-stepping automatic fringe analysis in holographic moiré", Appl. Optics, Vol. 31 (1992), p5965-5974
15. Surrel, Y.R. "Design of algorithms for phase measurements by the use of phase stepping", Appl. Optics, Vol. 35 (1996), p51-60
16. Surrel, Y.G. "Additive noise effect in digital phase detection", Appl. Optics, Vol. 36 (1997), p271-276
17. Tadeusz, D.T., Ewa, D.D. "Application Of Neural Networks In 3d Object Recognition System", Int. J. Pattern Recognit. Artif. Intell., Vol. 12 (1998), p491-504
18. Varman, P.O. "A moiré system for producing numerical data for the profile of a turbine blade using a computer and video store", Opt. Lasers Eng. , 5(2) (1964) p41-58
19. Xie, X., Lalor, M.J., Burton, D.R., Shaw, M.M. "Four-map absolute distance contouring", Opt. Eng., Vol. 36 (1997), p2517-2520
20. Zhao, B.M., Surrel, Y.M. "Effect of quantization error on the computed phase of phase- shifting measurements", Appl. Optics, Vol. 36 (1997), p2070-2075
21. Allen, J.B., Meadows, D.M. "Removal of unwanted patterns from moiré contour maps by grid translation techniques", Applied Optics Vol. 10, No.1, (January 1971), p210-212
22. Asundi, A. "Moiré methods using computer-generated gratings", Optical Engineering, Vol. 32, No. 1, (January 1993), p107-116
23. Asundi, A., Yung, K.H. "Phase-shifting and logical moiré", J. Opt. Soc. Am. A, Vol. 8 No.10, (October 1991), p1591-1600
24. Bell, B. W., Koliopoulos C. L. "Moiré topography, sampling theory, and charged-coupled devices", Optics Letters, Vol.9, No.5 (May 1984) p171-173
25. Benoit, P., Mathieu, E., Hormière, J., Thomas, A. "Characterization and control of three dimensional objects using fringe projection techniques", Nouv. Rev. Optique , 6(2) (1975), p67-86
26. Cabaj, A. Ranninger, G., Windischbauer, G. "Shadowless moiré topography using a single source of light", Applied Optics Vol.13, No.4, (April 1974), p722-723
27. Cardenas-Garcia, J. F., Zheng, S., Shen, F. Z. "Implementation and use of an automated projection moiré experimental set-up",Optics and Lasers in Engineering, Vol. 21 (1994), p77-98
28. Cline, H.E. , Holik, A.S., Lorensen, W.E. "Computer-aided surface reconstruction of interference contours", Applied Optics Vol. 21, No.24, (December 1982), p4481-4488
29. Cline, H.E. , Lorensen, W.E., Holik, A.S. ""Automatic moiré contouring"", Applied Optics Vol.23, No.10, (May 1984), p1454-1459"
30. Creath, K. "Phase-shifting speckle interferometry", Applied Optics Vol. 24, No. 18, (September 1985), p3053-3058
31. Choi, Y.B., Kim, S.W. "Phase-shifting grating projection moiré topography", Opt. Eng., Vol. 37 No.3, (March1998), p1005-1010
32. Doty, J.L. "Projection moiré for remote contour analysis", J. Opt. Soc. Am. , Vol. 73, No.3 (March, 1983), p366-372
33. Gao, B. Z., Dribin, S. Pandya, S., Hwang, N. H. C. "Fourier transform fringe analysis technique applied to the assessment of bioprosthetic heart valve leaflet surface contour
34. Gasvik, K.J., Fourney, M.E. "Projection moiré using digital video processing: a technique for improving the accuracy and sensitivity", J. Appl. Mech.-Transactions of the ASME, Vol. 53 (Sept. 1986), p652-656
35. Ghiglia, D. C., Romero, L. A. "Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods", J. Opt. Soc. Am. A, Vol. 11, No. 1, (January 1994) p107-117
36. Halioua, M., Krishnamurthy, R. S., Liu, H., Chiang, F. P. "Projection moiré with moving gratings for automated 3-D topography", Applied Optics Vol. 22, No. 6, (March 1983), p850-855
37. Han, B., Ifju, P., Post, D. "Geometric moiré methods with enhanced sensitivity by optical/digital fringe multiplication", Exp. Mechanics, 33(3), (1993), p195-200
38. Der Hovanesian, J., Hung, Y.Y."Moiré contour-sum, contour-difference, and vibration analysis of arbitrary objects", Appl.Optics, Vol. 10, No.12 (Dec. 1971), p2734-2738
39. Huntley, J.M. "Automated fringe pattern analysis in experimental mechanics: a review", J. Strain Anal. Eng. Des., Vol. 33 (1998), p105-125
40. Idesawa, M., Yatagai, T., Soma, T. "Scanning moiré method and automatic measurement of 3-D shapes", Applied Optics Vol.16, No.8, (August 1977), p2152-2162
41. Judge, T. R., Bryanston-Cross, P.J. "A review of phase-unwrapping techniques for fringe analysis", Optics and Lasers in Engineering, Vol. 21 (1994), p199-239
42. Kim, S.W., Choi, Y.B., Oh, J.T. "Reverse engineering: high speed digitization of free-form surfaces by phase-shifting grating projection moiré topography", International Journal of Machine Tools and Manufacture, Vol. 39 (1999), p389-401
43. Kujawinska, M. "Use of phase-stepping automatic fringe analysis in moiré interferometry", Applied Optics Vo.26, No.22, (November 1987), p4712-4714
44. Lichtenberger, R., Weber, H. "Analogue phase evaluation of fringes for real time dynamic contour measurement Photomechanique "
45. Macy, W.W. "Two-dimensional fringe-pattern analysis", Applied Optics Vol.22, No.23 (December 1983), p3898-3901
46. Matsumoto, T., Kitagawa, Y., Minemoto, T. "Sensitivity-variable moiré topography with a phase shift method", Opt. Eng., Vol. 35 No.6, (June 1996), p1754-1760
47. McKelvie, K. "Moiré strain analysis: an introduction, review and critique, including related techniques and future potential", Journal of strain analysis Vol. 33, No. 2, (1998) p137-151
48. Meadows, D.M. , Johnson, W.O., Allen, J.B. "Generation of surface contours by moiré patterns", Applied Optics Vol. 9, No.4, (April 1970), p942-947
49. Moore, D.T., Truax, B. E. "Phase-locked moiré fringe analysis for automated contouring of diffuse surfaces", Applied Optics Vol.18, No.1, (1979), p91-96
50. Patterson, E. A., Wang, Z. F. "Towards full field automated analysis of complex components", Strain, Vol. 27, No. 2 , (May 1991) p49-56
51. Pirodda, L. "Shadow and projection moiré techniques for absolute or relative mapping of surface shapes", Opt. Eng., Vol. 21, No.4 (July 1982), p640-649
52. Roddier, C. , Roddier, F. "Interferogram analysis using Fourier transform techniques", Applied Optics Vol. 26, No. 9, (May 1987), p1668-1673
53. Takasaki, H. "Moiré Topography", Applied Optics Vol. 9, No. 6, (June 1970), p1467-1472
54. Takasaki, H. "Moiré Topography",Applied Optics Vol. 12, No. 4, (April 1973), p845-850
55. Takeda, M., Mutoh, K. "Fourier transform profilometry for the automatic measurement of 3-D object shapes", Applied Optics Vol.22, No.24, (Dec. 1983), p3977-3982
56. Wang, M. "Projection moiré deflectometry for the automatic measurement of phase objects", Optical Engineering, Vol. 35 , No. 7 (1996), p2005-2011
57. Wegdam, A.M.F., Podzimek, O., Hallie, H. "Projection moiré system simulation ", Appl. Optics, Vol. 31, No.19 (July 1992), p3755-3758
58. Xie, X., Atkinson, J.T., Lalor, M.J., Burton, D.R. "Three-map absolute moiré contouring", Appl. Optics, Vol. 35, No.35 (Dec. 1996), p6990-6995
59. Yagatai, T., Idesawa, M. "Automatic fringe analysis for moiré topography", Optics and Lasers in Engineering , 3(1) (1982), p73-83
60. Yoshizawa, T. Tomisawa, T. "Shadow moiré topography by means of the phase shift method", Optical Engineering, Vol. 32, No. 7 (July 1993), p1668-1674
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