Abstract
In this paper we present a portable fringe projection system developed for the measurement of the three-dimensional shape and position of complex aircraft parts. We describe the prototype instrument and processing algorithms designed, implemented, and tested during this study, and we discuss several applications throughout the lifecycle of the aircraft.
Similar content being viewed by others
Abbreviations
- γ:
-
modulation
- θ:
-
angle between projection and observation axes, rad
- Φ:
-
modulated phase, rad
- Φ* :
-
phase estimator, rad
- α, β:
-
angles of laser beam, rad
- A :
-
background illumination
- b :
-
distance between camera focal point and laser source, mm
- f :
-
effective focal distance of the camera lens, mm
- f 0 :
-
carrier frequency
- I :
-
image intensity
- i, j :
-
image pixel coordinates
- K :
-
calibration constant
- O :
-
object image
- O :
-
camera focal point
- P :
-
pitch of the reference image
- P(X p ,Y p ,Z p ):
-
point in object
- p(x p ,y p ):
-
projection of pointP onto the image plane
- Q:
-
quality value of the phase differences
- R :
-
reference image
- S :
-
laser source
- s :
-
camera magnification, mm pixel−1
- x, y :
-
CCD physical coordinates, mm
- X, Y, Z :
-
real world coordinates, mm
References
Heredia, M., Novel Developments of Moiré Techniques for Industrial Applications, Doctoral Thesis, Sheffield, UK, University of Sheffield (2004).
Ligtenberg, F.K., “The Moiré Method,”Proceedings of the Society for Experimental Stress Analysis (SESA),12 (2),83–98, (1954).
Weller, R. andShepard, B.M., “Displacement Measurement by Mechanical Interferometry,”Proceedings of SESA,6 (1),35–38 (1948).
Brooks, R.E. andHellfinger, L.O., “Moiré Gauging Using Optical Interference Patterns,”Applied Optics,11,2269–2277 (1982).
Takeda, M. andMutoh, K., “Fourier Transform Profilometry for the Automatic Measurement of 3D Object Shapes,”Applied Optics,22 (24),3977–3982 (1983).
Sciammarella, C.A., Lamberti, L., and Sciammarella, F.M., “High Accuracy Contouring Using Grating Projection,” Proceedings of the XXX Convegno Nazionale AIAS, Alghero, 811–820 (2001).
Heredia Ortiz, M. and Patterson, E.A., “Fringe Projection for Optical Path Length Correction in Reflection Photoelasticity,” Proceedings of the British Society for Strain Measurement (BSSM) Conference, Lancaster, UK (2001).
Doty, J.L., “Projection Moiré for Remote Contour Analysis,”Journal of the Optical Society of America,73 (3),366–372 (1983).
Durelli, A.J. andParks, V.J., Moiré Analysis of Strain, Prentice-Hall, Englewood Cliffs, NJ (1970).
Cloud, G.L. andCreath, K., Optical Methods of Engineering Analysis, Cambridge University Press, Combridge (1995).
Zeng, L., Matsumoto, H., andKawachi, K., “Simultaneous Measurement of the Position and Shape of a Swimming Fish by Combining a Fringe Pattern Projection Method with a Laser Scanning Technique,”Optical Engineering,37 (5),1500–1504 (1998).
Klette, R., Koschan, A., andSchluns, K., Computer Vision: 3-D Data from Images, Springer-Verlag, New York (1998).
Shough, D.M., Kwon, O.Y., andLeary, D.F., “High-speed interferometric Measurement of Aerodynamic Phenomena,” Propagation of Highenergy Laser Beams Through the Earth's Atmosphere, Proceedings of the SPIE,1221,394–403 (1990).
Chan, P.H. andBryanston-Cross, P.J., “Spatial Phase-stepping Method of Fringe Pattern Analysis,”Optics and Lasers in Engineering,23,343–354 (1995).
Hariharan, P., Oreb, B.F., andEiju, C.H., “Digital Phase-shifiting Interferometry: a Simple Error-compensating Phase Calculation Algorithm,”Applied Optics,26,2504 (1987).
Ghiglia, D.C. andPritt, M.D., Two-dimensional Phase Unwrapping, Wiley-Interscience, New York (1998).
Pirodda, L., “Shadow and Projection Moiré Techniques for Absolute or Relative Mapping of Surface Shapes,”Optical Engineering,21 (4),640–649 (1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ortiz, M.H., Patterson, E.A. Location and shape measurement using a portable fringe projection system. Experimental Mechanics 45, 197–204 (2005). https://doi.org/10.1007/BF02427942
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02427942