OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 29 — Oct. 10, 2013
  • pp: 7094–7098

Optimal fringe angle selection for digital fringe projection technique

Yajun Wang and Song Zhang  »View Author Affiliations

Applied Optics, Vol. 52, Issue 29, pp. 7094-7098 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (1114 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Existing digital fringe projection (DFP) systems mainly use either horizontal or vertical fringe patterns for three-dimensional shape measurement. This paper reveals that these two fringe directions are usually not optimal where the phase change is the largest to a given depth variation. We propose a novel and efficient method to determine the optimal fringe angle by projecting a set of horizontal and vertical fringe patterns onto a step-height object and by further analyzing two resultant phase maps. Experiments demonstrate the existence of the optimal angle and the success of the proposed optimal angle determination method.

© 2013 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: June 10, 2013
Revised Manuscript: September 5, 2013
Manuscript Accepted: September 13, 2013
Published: October 3, 2013

Yajun Wang and Song Zhang, "Optimal fringe angle selection for digital fringe projection technique," Appl. Opt. 52, 7094-7098 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. Quan, C. J. Tay, X. Y. He, X. Kang, and H. M. Shang, “Microscopic surface contouring by fringe projection method,” Opt. Laser Technol. 34, 547–552 (2002). [CrossRef]
  2. A. Hanafi, T. Gharbi, and J. Cornu, “In vivo measurement of lower back deformations with Fourier-transform profilometry,” Appl. Opt. 44, 2266–2273 (2005). [CrossRef]
  3. S. Zhang, ed., Handbook of 3D Machine Vision: Optical Metrology and Imaging, 1st ed. (CRC Press, 2013).
  4. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Laser Eng. 48, 133–140 (2010). [CrossRef]
  5. G. Geng, “Structured-light 3D surface imaging: a tutorial,” Adv. Opt. Photon. 3, 128–160 (2011). [CrossRef]
  6. X. Su and W. Chen, “Fourier transform profilometry: a review,” Opt. Laser Eng. 35, 263–284 (2001). [CrossRef]
  7. P. Huang and S. Zhang, “Fast three-step phase-shifting algorithm,” Appl. Opt. 45, 5086–5091 (2006). [CrossRef]
  8. Q. Zhang and X. Su, “High-speed optical measurement for the drumhead vibration,” Opt. Express 13, 3110–3116 (2005). [CrossRef]
  9. D. Malacara, Optical Shop Testing, 3rd ed. (Wiley, 2007).
  10. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).
  11. Y. Wang and S. Zhang, “Superfast multifrequency phase-shifting technique with optimal pulse width modulation,” Opt. Express 19, 5143–5148 (2011). [CrossRef]
  12. Y. Xu, L. Ekstrand, J. Dai, and S. Zhang, “Phase error compensation for three-dimensional shape measurement with projector defocusing,” Appl. Opt. 50, 2572–2581 (2011). [CrossRef]
  13. W. Chen, X. Su, Y. Cao, L. Xiang, and Q. Zhang, “Fourier transform profilometry based on a fringe pattern with two frequency components,” Optik 119, 57–62 (2008). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1. Fig. 2. Fig. 3.
Fig. 4.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited