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Mao, Jiaqi [Author]; Yin, Yongkai [Author]; Meng, Xiangfeng [Author]; Yang, Xiulun [Author]; Lu, Lei [Author]; Li, Dechun [Author]; Pape, Christian [Author]; Reithmeier, Eduard [Author]; Gorecki, Christophe [Author]; Asundi, Anand Krishna [Author]; Osten, Wolfgang [Author]

Two-step phase shifting in fringe projection: Modeling and analysis - [published Version]

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  • Media type: Text; E-Article
  • Title: Two-step phase shifting in fringe projection: Modeling and analysis
  • Contributor: Mao, Jiaqi [Author]; Yin, Yongkai [Author]; Meng, Xiangfeng [Author]; Yang, Xiulun [Author]; Lu, Lei [Author]; Li, Dechun [Author]; Pape, Christian [Author]; Reithmeier, Eduard [Author]; Gorecki, Christophe [Author]; Asundi, Anand Krishna [Author]; Osten, Wolfgang [Author]
  • imprint: Bellingham, Wash. : SPIE, 2018
  • Published in: Optical Micro- and Nanometrology VII : 25-26 April 2018, Strasbourg, France ; Proceedings of SPIE 10678 (2018)
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.15488/3827; https://doi.org/10.1117/12.2306641
  • ISBN: 978-1-5106-1882-4
  • ISSN: 0277-786X
  • Keywords: two-step phase-shifting ; Non-linear least squares ; dynamic 3D shape measurement ; Phase-shifting ; Konferenzschrift ; Phase-shifting algorithm ; phase-shifting profilometry ; Reflection ; surface reflectivity ; Variable substitution ; Projection systems ; Error compensation ; Profilometry ; Dynamic 3D shapes ; Model and analysis ; fringe projection profilometry
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  • Description: This work proposes a two-step phase-shifting algorithm as an improvement of fringe projection profilometry. Considering the working process of fringe projection, the captured fringe image is formulated with two variables, i.e. surface reflectivity and phase value. And a phase shift of 3π/2 is introduced to get the two-step phase-shifting. After appropriate variable substitution, expressions of two fringe images can be transformed into two equations corresponding to a line and a circle respectively. With this circle-line model, the characteristic of solution and the phase error due to non-zero ambient light are analyzed. Then the approach of error compensation is proposed based on estimation of the real fringe contrast and non-linear least square optimization. The validity of the proposed approach is demonstrated with both simulations and experiments.
  • Access State: Open Access