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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 40, Iss. 4 — Feb. 1, 2001
  • pp: 492–500

Absolute phase-measurement technique based on number theory in multifrequency grating projection profilometry

Jingang Zhong and Yonglin Zhang  »View Author Affiliations


Applied Optics, Vol. 40, Issue 4, pp. 492-500 (2001)
http://dx.doi.org/10.1364/AO.40.000492


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Abstract

A simple and robust technique for absolute phase measurement based on number theory is presented. The new, to our knowledge, technique, which is compared with the Gushov–Solodkin algorithm, surmounts the shortcomings in the Gushov–Solodkin algorithm. The technique permits the three-dimensional shape measurement of objects that have discontinuous height steps and has resulted in a new and more powerful method of measuring surface absolute profile. Experimental results are presented that demonstrate the validity of the principle.

© 2001 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(150.6910) Machine vision : Three-dimensional sensing

History
Original Manuscript: April 20, 2000
Revised Manuscript: July 28, 2000
Published: February 1, 2001

Citation
Jingang Zhong and Yonglin Zhang, "Absolute phase-measurement technique based on number theory in multifrequency grating projection profilometry," Appl. Opt. 40, 492-500 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-4-492


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References

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  2. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfield, A. D. White, D. J. Brangaccio, “Digital wavefront measurement interferometer for testing optical surfaces and lenses,” Appl. Opt. 13, 2693–2703 (1974). [CrossRef] [PubMed]
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  8. J. Zhong, M. Wang, “Phase unwrapping by a lookup table method: application to phase maps with singular points,” Opt. Eng. 38, 2075–2081 (1999). [CrossRef]

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