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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 4 — Feb. 1, 2012
  • pp: 457–464

Three-dimensional shape measurement of aspheric mirrors with fringe reflection photogrammetry

Yong-Liang Xiao, Xianyu Su, Wenjing Chen, and Yuankun Liu  »View Author Affiliations

Applied Optics, Vol. 51, Issue 4, pp. 457-464 (2012)

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Three-dimensional (3D) shape measurement of an aspheric mirror with fringe reflection photogrammetry involves three steps: correspondence matching, triangulation, and bundle adjustment. Correspondence matching is realized by absolute phase tracking and triangulation is computed by the intersection of reflection and incidence rays. The main contribution in this paper is constraint bundle adjustment for carefully dealing with lens distortion in the process of ray intersection, as compared to the well-known grating reflection photogrammetry. Additionally, a free frame is proposed to alleviate troublesome system geometrical calibration, and constraint bundle adjustment is operated in the free frame to refine the 3D shape. Simulation and experiment demonstrate that constraint bundle adjustment can improve absolute measurement accuracy of aspheric mirrors.

© 2012 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.2440) Instrumentation, measurement, and metrology : Filters
(150.0155) Machine vision : Machine vision optics
(150.3045) Machine vision : Industrial optical metrology

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: July 28, 2011
Revised Manuscript: October 16, 2011
Manuscript Accepted: October 17, 2011
Published: January 26, 2012

Yong-Liang Xiao, Xianyu Su, Wenjing Chen, and Yuankun Liu, "Three-dimensional shape measurement of aspheric mirrors with fringe reflection photogrammetry," Appl. Opt. 51, 457-464 (2012)

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