Two-step phase shifting in fringe projection: Modeling and analysis

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Autoren

  • Jiaqi Mao
  • Yongkai Yin
  • Xiangfeng Meng
  • Xiulun Yang
  • Lei Lu
  • Dechun Li
  • Christian Pape
  • Eduard Reithmeier

Externe Organisationen

  • Shandong University
  • Henan University of Technology
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Titel des SammelwerksOptical Micro- and Nanometrology VII
Herausgeber/-innenAnand Krishna Asundi, Wolfgang Osten, Christophe Gorecki
Herausgeber (Verlag)SPIE
Seitenumfang10
ISBN (elektronisch)9781510618824
PublikationsstatusVeröffentlicht - 24 Mai 2018
VeranstaltungOptical Micro- and Nanometrology VII 2018 - Strasbourg, Frankreich
Dauer: 25 Apr. 201826 Apr. 2018

Publikationsreihe

NameProceedings of SPIE - The International Society for Optical Engineering
Band10678
ISSN (Print)0277-786X
ISSN (elektronisch)1996-756X

Abstract

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.

ASJC Scopus Sachgebiete

Zitieren

Two-step phase shifting in fringe projection: Modeling and analysis. / Mao, Jiaqi; Yin, Yongkai; Meng, Xiangfeng et al.
Optical Micro- and Nanometrology VII. Hrsg. / Anand Krishna Asundi; Wolfgang Osten; Christophe Gorecki. SPIE, 2018. 106780V (Proceedings of SPIE - The International Society for Optical Engineering; Band 10678).

Publikation: Beitrag in Buch/Bericht/Sammelwerk/KonferenzbandAufsatz in KonferenzbandForschungPeer-Review

Mao, J, Yin, Y, Meng, X, Yang, X, Lu, L, Li, D, Pape, C & Reithmeier, E 2018, Two-step phase shifting in fringe projection: Modeling and analysis. in AK Asundi, W Osten & C Gorecki (Hrsg.), Optical Micro- and Nanometrology VII., 106780V, Proceedings of SPIE - The International Society for Optical Engineering, Bd. 10678, SPIE, Optical Micro- and Nanometrology VII 2018, Strasbourg, Frankreich, 25 Apr. 2018. https://doi.org/10.1117/12.2306641, https://doi.org/10.15488/3827
Mao, J., Yin, Y., Meng, X., Yang, X., Lu, L., Li, D., Pape, C., & Reithmeier, E. (2018). Two-step phase shifting in fringe projection: Modeling and analysis. In A. K. Asundi, W. Osten, & C. Gorecki (Hrsg.), Optical Micro- and Nanometrology VII Artikel 106780V (Proceedings of SPIE - The International Society for Optical Engineering; Band 10678). SPIE. https://doi.org/10.1117/12.2306641, https://doi.org/10.15488/3827
Mao J, Yin Y, Meng X, Yang X, Lu L, Li D et al. Two-step phase shifting in fringe projection: Modeling and analysis. in Asundi AK, Osten W, Gorecki C, Hrsg., Optical Micro- and Nanometrology VII. SPIE. 2018. 106780V. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2306641, 10.15488/3827
Mao, Jiaqi ; Yin, Yongkai ; Meng, Xiangfeng et al. / Two-step phase shifting in fringe projection : Modeling and analysis. Optical Micro- and Nanometrology VII. Hrsg. / Anand Krishna Asundi ; Wolfgang Osten ; Christophe Gorecki. SPIE, 2018. (Proceedings of SPIE - The International Society for Optical Engineering).
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abstract = "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.",
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note = "Funding information: The financial supports from the Natural Science Foundation of China (NSFC) under the grant 61775121, 61675117 and 61701321 and that from the Sino-German Center for Research Promotion (SGCRP) under the grant GZ 1391 are gratefully acknowledged. The support of Humboldt Research Fellowship for Postdoctoral Researchers is also acknowledged.; Optical Micro- and Nanometrology VII 2018 ; Conference date: 25-04-2018 Through 26-04-2018",
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T2 - Optical Micro- and Nanometrology VII 2018

AU - Mao, Jiaqi

AU - Yin, Yongkai

AU - Meng, Xiangfeng

AU - Yang, Xiulun

AU - Lu, Lei

AU - Li, Dechun

AU - Pape, Christian

AU - Reithmeier, Eduard

N1 - Funding information: The financial supports from the Natural Science Foundation of China (NSFC) under the grant 61775121, 61675117 and 61701321 and that from the Sino-German Center for Research Promotion (SGCRP) under the grant GZ 1391 are gratefully acknowledged. The support of Humboldt Research Fellowship for Postdoctoral Researchers is also acknowledged.

PY - 2018/5/24

Y1 - 2018/5/24

N2 - 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.

AB - 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.

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KW - fringe projection profilometry

KW - phase-shifting profilometry

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Y2 - 25 April 2018 through 26 April 2018

ER -

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