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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 21 — Jul. 20, 2006
  • pp: 5086–5091

Fast three-step phase-shifting algorithm

Peisen S. Huang and Song Zhang  »View Author Affiliations


Applied Optics, Vol. 45, Issue 21, pp. 5086-5091 (2006)
http://dx.doi.org/10.1364/AO.45.005086


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Abstract

We propose a new three-step phase-shifting algorithm, which is much faster than the traditional three-step algorithm. We achieve the speed advantage by using a simple intensity ratio function to replace the arctangent function in the traditional algorithm. The phase error caused by this new algorithm is compensated for by use of a lookup table. Our experimental results show that both the new algorithm and the traditional algorithm generate similar results, but the new algorithm is 3.4 times faster. By implementing this new algorithm in a high-resolution, real-time three-dimensional shape measurement system, we were able to achieve a measurement speed of 40 frames per second at a resolution of 532 × 500 pixels, all with an ordinary personal computer.

© 2006 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

History
Original Manuscript: November 1, 2005
Revised Manuscript: March 6, 2006
Manuscript Accepted: March 7, 2006

Citation
Peisen S. Huang and Song Zhang, "Fast three-step phase-shifting algorithm," Appl. Opt. 45, 5086-5091 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-21-5086

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