Abstract

A prototype of a 3D shape measurement device with two cameras was developed, and the prototype was used to confirm the effectiveness of the 3D shape measurement method that does not require camera parameters. For 3D shape measurement using a fringe projection method, generally the pixel coordinate in the image and phase information of the projected fringe pattern are used; however, 3D coordinates can be obtained from only three fringe phase values. Recently, authors proposed this method as a feature quantity type whole-space tabulation method. There were no camera parameters required because pixel coordinates were not used, and thus a camera calibration-free 3D shape measurement can be realized. Moreover, the experimental evaluation was performed using the prototype having two cameras. Although these cameras were located at different positions and had lenses with different focal lengths, their measured shapes of an object were almost identical. An experiment of 3D shape measurement using an uncalibrated camera was performed. The effectiveness of the proposed method was quantitatively validated from experimental result obtained using the developed prototype.

© 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
  4. M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
    [Crossref]
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    [Crossref]
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    [Crossref]
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    [Crossref]
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2019 (1)

A. Babaei and M. Saadatseresht, “Optimal selection of distortion model parameters for projection lenses using phasogrammetric self-calibration,” Earth Observ. Geomat. Eng. 3(2), 39–50 (2019).
[Crossref]

2018 (1)

S. Zhang, “Absolute phase retrieval methods for digital fringe projection profilometry: A review,” Opt. Lasers in Eng. 107, 28–37 (2018).
[Crossref]

2016 (3)

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

K. Zhong, Z. W. Li, R. F. Li, Y. S. Shi, and C. J. Wang, “Pre-calibration free 3D shape measurement method based on fringe projection,” Opt. Express 24(13), 14196 (2016).
[Crossref]

M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
[Crossref]

2015 (1)

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

2013 (1)

2010 (1)

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Laser Eng. 48(2), 133–140 (2010).
[Crossref]

2004 (1)

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

2001 (1)

K. Achour and M. Benkhelif, “A new approach to 3D reconstruction without camera calibration,” Pattern Recognit. 34(12), 2467–2476 (2001).
[Crossref]

2000 (2)

W. Schreiber and G. Notni, “Theory and arrangements of self-calibrating whole-body 3-D-measurement systems using fringe projection technique,” Opt. Eng. 39(1), 159–169 (2000).
[Crossref]

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 8–22 (2000).
[Crossref]

1997 (1)

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

1991 (1)

R. Mohr and E. Arbogast, “It can be done without camera calibration,” Pattern Recognit. Lett. 12(1), 39–43 (1991).
[Crossref]

1984 (1)

1983 (1)

Achour, K.

K. Achour and M. Benkhelif, “A new approach to 3D reconstruction without camera calibration,” Pattern Recognit. 34(12), 2467–2476 (2001).
[Crossref]

Arbogast, E.

R. Mohr and E. Arbogast, “It can be done without camera calibration,” Pattern Recognit. Lett. 12(1), 39–43 (1991).
[Crossref]

Asai, D.

Babaei, A.

A. Babaei and M. Saadatseresht, “Optimal selection of distortion model parameters for projection lenses using phasogrammetric self-calibration,” Earth Observ. Geomat. Eng. 3(2), 39–50 (2019).
[Crossref]

Benkhelif, M.

K. Achour and M. Benkhelif, “A new approach to 3D reconstruction without camera calibration,” Pattern Recognit. 34(12), 2467–2476 (2001).
[Crossref]

Brauer-Burchardt, C.

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

Brown, G. M.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 8–22 (2000).
[Crossref]

Chang, Y.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Chen, F.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 8–22 (2000).
[Crossref]

Fujigaki, M.

M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
[Crossref]

M. Fujigaki, Y. Oura, D. Asai, and Y. Murata, “High-speed height measurement by a light-source-stepping method using a linear LED array,” Opt. Express 21(20), 23169–23180 (2013).
[Crossref]

M. Fujigaki, Y. Kusunoki, and H. Tanaka, “Development of 3D shape measurement device using feature quantity type whole-space tabulation method,” in Advancements in Optical Methods & Digital Image Correlation in Experimental Mechanics3, 117–120 (2020).

Garnica, G.

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

Gonzalez, A.

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

Gorthi, S. S.

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Laser Eng. 48(2), 133–140 (2010).
[Crossref]

Guo, Q.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Halioua, M.

Heinze, M.

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

Himmelreich, M.

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

Kirschner, V.

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

Kowarschik, R. M.

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

Kuhmstedt, P.

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

Kusunoki, Y.

M. Fujigaki, Y. Kusunoki, and H. Tanaka, “Development of 3D shape measurement device using feature quantity type whole-space tabulation method,” in Advancements in Optical Methods & Digital Image Correlation in Experimental Mechanics3, 117–120 (2020).

Li, R. F.

Li, X.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Li, Z. W.

Liu, H. C.

Mohr, R.

R. Mohr and E. Arbogast, “It can be done without camera calibration,” Pattern Recognit. Lett. 12(1), 39–43 (1991).
[Crossref]

Murata, Y.

M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
[Crossref]

M. Fujigaki, Y. Oura, D. Asai, and Y. Murata, “High-speed height measurement by a light-source-stepping method using a linear LED array,” Opt. Express 21(20), 23169–23180 (2013).
[Crossref]

Mutoh, K.

Notni, G.

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

W. Schreiber and G. Notni, “Theory and arrangements of self-calibrating whole-body 3-D-measurement systems using fringe projection technique,” Opt. Eng. 39(1), 159–169 (2000).
[Crossref]

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

Oura, Y.

Padilla, M.

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

Rastogi, P.

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Laser Eng. 48(2), 133–140 (2010).
[Crossref]

Saadatseresht, M.

A. Babaei and M. Saadatseresht, “Optimal selection of distortion model parameters for projection lenses using phasogrammetric self-calibration,” Earth Observ. Geomat. Eng. 3(2), 39–50 (2019).
[Crossref]

Sakaguchi, T.

M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
[Crossref]

Schreiber, W.

W. Schreiber and G. Notni, “Theory and arrangements of self-calibrating whole-body 3-D-measurement systems using fringe projection technique,” Opt. Eng. 39(1), 159–169 (2000).
[Crossref]

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

Servin, M.

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

Shi, Y. S.

Song, L.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Song, M.

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 8–22 (2000).
[Crossref]

Srinivasan, V.

Takeda, M.

Tanaka, H.

M. Fujigaki, Y. Kusunoki, and H. Tanaka, “Development of 3D shape measurement device using feature quantity type whole-space tabulation method,” in Advancements in Optical Methods & Digital Image Correlation in Experimental Mechanics3, 117–120 (2020).

Wang, C. J.

Xi, J.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Zhang, S.

S. Zhang, “Absolute phase retrieval methods for digital fringe projection profilometry: A review,” Opt. Lasers in Eng. 107, 28–37 (2018).
[Crossref]

Zhong, K.

Zhu, X.

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Appl. Opt. (2)

Earth Observ. Geomat. Eng. (1)

A. Babaei and M. Saadatseresht, “Optimal selection of distortion model parameters for projection lenses using phasogrammetric self-calibration,” Earth Observ. Geomat. Eng. 3(2), 39–50 (2019).
[Crossref]

Opt. Commun. (1)

L. Song, Y. Chang, J. Xi, Q. Guo, X. Zhu, and X. Li, “Phase unwrapping method based on multiple fringe patterns without use of equivalent wavelengths,” Opt. Commun. 355, 213–224 (2015).
[Crossref]

Opt. Eng. (2)

F. Chen, G. M. Brown, and M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 8–22 (2000).
[Crossref]

W. Schreiber and G. Notni, “Theory and arrangements of self-calibrating whole-body 3-D-measurement systems using fringe projection technique,” Opt. Eng. 39(1), 159–169 (2000).
[Crossref]

Opt. Express (2)

Opt. Laser Eng. (3)

M. Servin, M. Padilla, G. Garnica, and A. Gonzalez, “Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping, co-phased profilometry and phase-shifting interferometry,” Opt. Laser Eng. 87(24), 75–82 (2016).
[Crossref]

M. Fujigaki, T. Sakaguchi, and Y. Murata, “Development of a compact 3D shape measurement unit using the light-source-stepping method,” Opt. Laser Eng. 85, 9–17 (2016).
[Crossref]

S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Laser Eng. 48(2), 133–140 (2010).
[Crossref]

Opt. Lasers in Eng. (1)

S. Zhang, “Absolute phase retrieval methods for digital fringe projection profilometry: A review,” Opt. Lasers in Eng. 107, 28–37 (2018).
[Crossref]

Pattern Recognit. (1)

K. Achour and M. Benkhelif, “A new approach to 3D reconstruction without camera calibration,” Pattern Recognit. 34(12), 2467–2476 (2001).
[Crossref]

Pattern Recognit. Lett. (1)

R. Mohr and E. Arbogast, “It can be done without camera calibration,” Pattern Recognit. Lett. 12(1), 39–43 (1991).
[Crossref]

Proc. SPIE (2)

V. Kirschner, W. Schreiber, R. M. Kowarschik, and G. Notni, “Self-calibrating shape-measuring system based on fringe projection,” Proc. SPIE 3102, 5–13 (1997).
[Crossref]

P. Kuhmstedt, M. Heinze, M. Himmelreich, G. Notni, C. Brauer-Burchardt, and G. Notni, “Phasogrammetric optical 3D sensor for the measurement of large objects,” Proc. SPIE 5457, 56–64 (2004).
[Crossref]

Other (1)

M. Fujigaki, Y. Kusunoki, and H. Tanaka, “Development of 3D shape measurement device using feature quantity type whole-space tabulation method,” in Advancements in Optical Methods & Digital Image Correlation in Experimental Mechanics3, 117–120 (2020).

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Figures (17)

Fig. 1.
Fig. 1. Principles of F-WSTM
Fig. 2.
Fig. 2. Light-source-stepping method with linear LED device
Fig. 3.
Fig. 3. Camera for calibration and reference planes
Fig. 4.
Fig. 4. Calibration process of the F-WSTM using the reference plane
Fig. 5.
Fig. 5. Composing method of feature quantities - coordinates table (FQ-table)
Fig. 6.
Fig. 6. Measurement process of the F-WSTM
Fig. 7.
Fig. 7. Diagram of a prototype of a 3D shape measurement device
Fig. 8.
Fig. 8. Photograph of the prototype
Fig. 9.
Fig. 9. Experimental setup
Fig. 10.
Fig. 10. Structure of specimen
Fig. 11.
Fig. 11. Phase-shifted fringe images projected by linear LED device in projector A
Fig. 12.
Fig. 12. Wrapped phase maps obtained using projector A
Fig. 13.
Fig. 13. Unwrapped phase maps
Fig. 14.
Fig. 14. Height distribution
Fig. 15.
Fig. 15. Photographs of scenes with vibrating a measurement device using a robot arm
Fig. 16.
Fig. 16. Height distributions measured before and after vibration along vertical cross-section horizontal cross-section at the center of the object
Fig. 17.
Fig. 17. Measurement example of a general object using uncalibrated cameras

Tables (2)

Tables Icon

Table 1. Height Distribution

Tables Icon

Table 2. Comparison of measurement results before and after vibration

Metrics