OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 27 — Sep. 20, 2012
  • pp: 6631–6636

Three-dimensional shape measurement with binary dithered patterns

Yajun Wang and Song Zhang  »View Author Affiliations

Applied Optics, Vol. 51, Issue 27, pp. 6631-6636 (2012)

View Full Text Article

Enhanced HTML    Acrobat PDF (1104 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The previously proposed binary defocusing technique and its variations have proven successful for high-quality three-dimensional (3D) shape measurement when fringe stripes are relatively narrow, but they suffer if fringe stripes are wide. This paper proposes to utilize the binary dithering technique to conquer this challenge. Both simulation and experimental results show the phase error is always less than 0.6% even when the fringe stripes are wide and the projector is nearly focused.

© 2012 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: April 23, 2012
Revised Manuscript: August 24, 2012
Manuscript Accepted: August 25, 2012
Published: September 19, 2012

Yajun Wang and Song Zhang, "Three-dimensional shape measurement with binary dithered patterns," Appl. Opt. 51, 6631-6636 (2012)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. S. Lei and S. Zhang, “Flexible 3-D shape measurement using projector defocusing,” Opt. Lett. 34, 3080–3082 (2009). [CrossRef]
  2. Y. Wang and S. Zhang, “Optimum pulse width modulation for sinusoidal fringe generation with projector defocusing,” Opt. Lett. 35, 4121–4123 (2010). [CrossRef]
  3. G. A. Ajubi, J. A. Ayubi, J. M. D. Martino, and J. A. Ferrari, “Pulse-width modulation in defocused three-dimensional fringe projection,” Opt. Lett. 35, 3682–3684 (2010). [CrossRef]
  4. Y. Wang and S. Zhang, “Comparison among square binary, sinusoidal pulse width modulation, and optimal pulse width modulation methods for three-dimensional shape measurement,” Appl. Opt. 51, 861–872 (2012). [CrossRef]
  5. T. Xian and X. Su, “Area modulation grating for sinusoidal structure illumination on phase-measuring profilometry,” Appl. Opt. 40, 1201–1206 (2001). [CrossRef]
  6. W. Lohry and S. Zhang, “3D shape measurement with 2D area modulated binary patterns,” Opt. Laser Eng. 50, 917–921 (2012). [CrossRef]
  7. T. L. Schuchman, “Dither signals and their effect on quantization noise,” IEEE Trans. Commun. Technol. 12, 162–165 (1964). [CrossRef]
  8. B. Bayer, “An optimum method for two-level rendition of continuous-tone pictures,” in Proceedings of IEEE International Conference on Communications (1973), Vol. 1, pp. 11–15.
  9. S. Lei and S. Zhang, “Digital sinusoidal fringe generation: defocusing binary patterns vs. focusing sinusoidal patterns,” Opt. Laser Eng. 48, 561–569 (2010). [CrossRef]
  10. Y. Gong and S. Zhang, “Ultrafast 3-D shape measurement with an off-the-shelf DLP projector,” Opt. Express 18, 19743–19754 (2010). [CrossRef]
  11. S. Zhang, D. van der Weide, and J. Olvier, “Superfast phase-shifting method for 3-D shape measurement,” Opt. Express 18, 9684–9689 (2010). [CrossRef]
  12. W. Purgathofer, R. Tobler, and M. Geiler, “Forced random dithering: improved threshold matrices for ordered dithering,” in Proceedings of IEEE International Conference on Image Processing (1994), Vol. 2, pp. 1032–1035.
  13. T. D. Kite, B. L. Evans, and A. C. Bovik, “Modeling and quality assessment of halftoning by error diffusion,” IEEE Trans. Image Proc. 9, 909–922 (2000). [CrossRef]
  14. 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]
  15. P. S. Huang, C. Zhang, and F.-P. Chiang, “High-speed 3-D shape measurement based on digital fringe projection,” Opt. Eng. 42, 163–168 (2003). [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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited