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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 14 — May. 10, 2010
  • pp: 2622–2629

Shape measurement with one fringe pattern recording including a digital master

Sara Rosendahl, Emil Hällstig, Per Gren, and Mikael Sjödahl  »View Author Affiliations

Applied Optics, Vol. 49, Issue 14, pp. 2622-2629 (2010)

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We present a method in which the 3D shape of an object can be measured and compared to the shape of the digital master of the object, e.g., the computer-aided design model. The measurement is done using a stereo camera system and a single projected fringe pattern. Because the digital master is available, i.e., the expected shape is known, only one projection and image recording is necessary; thus, the method becomes fast. The idea in this work is to find homologous points in the cameras, i.e., points corresponding to the same object point, using the object information. An algorithm to find the homologous points is presented and a method to calculate shape is described. Given the ambiguity due to the fact that the phase in the images is wrapped, there is a maximum deviation from the master that can be correctly detected. An analytical expression for this deviation is derived. Results from the shape measurement of an object both with and without deviations from the digital master are also presented. In these measurements, where the measurement volume is approximately 1 dm 3 and the fringe period on the object plane is about 1 mm , the accuracy is ± 40 μm , and a deviation of max ± 1.6 mm can be correctly detected.

© 2010 Optical Society of America

OCIS Codes
(110.6880) Imaging systems : Three-dimensional image acquisition
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: December 8, 2009
Revised Manuscript: March 9, 2010
Manuscript Accepted: April 14, 2010
Published: May 4, 2010

Sara Rosendahl, Emil Hällstig, Per Gren, and Mikael Sjödahl, "Shape measurement with one fringe pattern recording including a digital master," Appl. Opt. 49, 2622-2629 (2010)

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  1. F. F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39, 10–22 (2000). [CrossRef]
  2. X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263–284 (2001). [CrossRef]
  3. S. Zhang and P. S. Huang, “High-resolution, real-time three-dimensional shape measurement,” Opt. Eng. 45, 123601 (2006). [CrossRef]
  4. W-H. Su, “Projected fringe profilometry using the area encoded algorithm for spatially isolated and dynamic objects,” Opt. Express 16, 2590–2596 (2008). [CrossRef] [PubMed]
  5. C. Guan, L. Hassebrook, and D. Lau, “Composite structured light pattern for three-dimensional video,” Opt. Express 11, 406–417 (2003). [CrossRef] [PubMed]
  6. C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39, 224–231 (2000). [CrossRef]
  7. P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007). [CrossRef]
  8. X. Han and P. Huang, “Combined stereovision and phase shifting method: a new approach for 3-D shape measurement,” Proc. SPIE 7389, 73893C (2009). [CrossRef]
  9. X. Han and P. Huang, “Combined stereovision and phase shifting method: use of a visibility-modulated fringe pattern,” Proc. SPIE 7389, 73893H (2009). [CrossRef]
  10. P. Synnergren, “Measurement of three-dimensional displacement fields and shape using electronic speckle photography,” Opt. Eng. 36, 2302–2310 (1997). [CrossRef]
  11. A. Wiegmann, H. Wagner, and R. Kowarschik, “Human face measurement by projecting bandlimited random patterns,” Opt. Express 14, 7692–7698 (2006). [CrossRef] [PubMed]
  12. A. K. Prasad and K. Jensen, “Scheimpflug stereocamera for particle image velocimetry in liquid flows,” Appl. Opt. 34, 7092–7099 (1995). [CrossRef] [PubMed]
  13. P. Synnergren and M. Sjödahl, “A stereoscopic digital speckle photography system for 3-D displacement field measurements,” Opt. Lasers Eng. 31, 425–443 (1999). [CrossRef]
  14. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160(1982). [CrossRef]
  15. L. Kinell and M. Sjödahl, “Robustness of reduced temporal phase unwrapping in the measurement of shape,” Appl. Opt. 40, 2297–2303 (2001). [CrossRef]

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