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Applied Optics

Applied Optics


  • Vol. 41, Iss. 22 — Aug. 1, 2002
  • pp: 4503–4509

Double three-step phase-shifting algorithm

Peisen S. Huang, Qingying J. Hu, and Fu-Pen Chiang  »View Author Affiliations

Applied Optics, Vol. 41, Issue 22, pp. 4503-4509 (2002)

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We describe what we believe is a new phase-shifting algorithm called a double three-step algorithm developed to reduce the measurement error of a three-dimensional shape-measurement system, which is based on digital fringe-projection and phase-shifting techniques. After comparing the performance of different existing phase-shifting algorithms, we present the new double three-step algorithm based on the error analysis of the standard three-step algorithm. In this algorithm, three-step phase shifting is done twice with an initial phase offset of 60° between them, and the two obtained phase maps are averaged to generate the final phase map. Both theoretical and experimental results showed that this new algorithm worked well in significantly reducing the measurement error.

© 2002 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(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
(150.3040) Machine vision : Industrial inspection
(150.6910) Machine vision : Three-dimensional sensing

Original Manuscript: December 30, 2001
Revised Manuscript: March 19, 2002
Published: August 1, 2002

Peisen S. Huang, Qingying J. Hu, and Fu-Pen Chiang, "Double three-step phase-shifting algorithm," Appl. Opt. 41, 4503-4509 (2002)

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