Abstract

Phase correlation is an effective method used for 3D shape measurement. It has a defect in the step of finding corresponding points. This work analyses the complexity of phase maps and the problems caused by it in real applications, proposes a correspondence finding method based on space conversion. Applying space conversion, two sets of phase maps from two cameras are integrated to a unique phase space. Accordingly, searching corresponding point between two images can be carried out in the same image coordinate system of the projector. As a supplementary, two algorithms are given for CC method and VR method. Experimental results show that proposed algorithms are successful and effective.

© 2015 Optical Society of America

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References

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  1. C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
    [Crossref]
  2. C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
    [Crossref]
  3. P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
    [Crossref]
  4. C. Bräuer-Burchardt, M. Möller, C. Munckelt, M. Heinze, P. Kühmstedt, and G. Notni, “Determining Exact Point Correspondences in 3D Measurement Systems Using Fringe Projection- Concepts, Algorithms and Accuracy Determination,” Applied Measurement systems, Prof. Zahurul Haq (Ed.), ISBN: 978–953–51–0103–1, InTech, Available from: http://www.intechopen.com/books/applied-measurementsystems/determining-exact-point-correspondences-in-3d-measurement-systems-using-fringe-projectionconcepts-a . 211–228 (2012)
    [Crossref]
  5. H. Zhao and J. Li, “Stereo image matching based on phase unwrapped,” Proc. SPIE 5253, 394–397 (2003).
    [Crossref]
  6. L. Yong, H. Dingfa, and J. Yong, “Flexible error-reduction method for shape measurement by temporal phase unwrapping: phase averaging method,” Appl. Opt. 51(21), 4945–4953 (2012).
    [Crossref] [PubMed]

2012 (1)

2010 (1)

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

2007 (1)

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

2003 (1)

H. Zhao and J. Li, “Stereo image matching based on phase unwrapped,” Proc. SPIE 5253, 394–397 (2003).
[Crossref]

2000 (1)

C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
[Crossref]

Bräuer-Burchardt, C.

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

Dingfa, H.

Heinze, M.

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

Kühmstedt, P.

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

Li, J.

H. Zhao and J. Li, “Stereo image matching based on phase unwrapped,” Proc. SPIE 5253, 394–397 (2003).
[Crossref]

Möller, M.

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

Munckelt, C.

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

Munkelt, C.

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

Notni, G.

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

Reich, C.

C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
[Crossref]

Ritter, R.

C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
[Crossref]

Thesing, J.

C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
[Crossref]

Yong, J.

Yong, L.

Zhao, H.

H. Zhao and J. Li, “Stereo image matching based on phase unwrapped,” Proc. SPIE 5253, 394–397 (2003).
[Crossref]

Appl. Opt. (1)

Opt. Eng. (1)

C. Reich, R. Ritter, and J. Thesing, “3-D shape measurement of complex objects by combining photogrammetry and fringe projection,” Opt. Eng. 39(1), 224–231 (2000).
[Crossref]

Proc. SPIE (3)

P. Kühmstedt, C. Munckelt, M. Heinze, C. Bräuer-Burchardt, and G. Notni, “3D shape measurement with phase correlation based fringe projection,” Proc. SPIE 6616, 66160B (2007).
[Crossref]

C. Bräuer-Burchardt, M. Möller, C. Munkelt, P. Kühmstedt, and G. Notni, “Comparison and evaluation of correspondence finding methods in 3D measurement systems using fringe projection,” Proc. SPIE 7830, 783019 (2010).
[Crossref]

H. Zhao and J. Li, “Stereo image matching based on phase unwrapped,” Proc. SPIE 5253, 394–397 (2003).
[Crossref]

Other (1)

C. Bräuer-Burchardt, M. Möller, C. Munckelt, M. Heinze, P. Kühmstedt, and G. Notni, “Determining Exact Point Correspondences in 3D Measurement Systems Using Fringe Projection- Concepts, Algorithms and Accuracy Determination,” Applied Measurement systems, Prof. Zahurul Haq (Ed.), ISBN: 978–953–51–0103–1, InTech, Available from: http://www.intechopen.com/books/applied-measurementsystems/determining-exact-point-correspondences-in-3d-measurement-systems-using-fringe-projectionconcepts-a . 211–228 (2012)
[Crossref]

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Figures (16)

Fig. 1
Fig. 1 Sensor arrangements of shape measurement system with a projector and two cameras. (Sample figure adapted from Applied Measurement systems.218 (2012) [4])
Fig. 2
Fig. 2 Correlation of phase maps between two cameras (CC method).
Fig. 3
Fig. 3 Correlation of phase maps between two cameras (VR method).
Fig. 4
Fig. 4 Four phase maps from two cameras in a real measurement. (a) Horizontal phase map from camera C1. (b) Vertical phase map from camera C1. (c) Horizontal phase map from camera C2. (d) Vertical phase map from camera C2.
Fig. 5
Fig. 5 Image-phase space conversion.
Fig. 6
Fig. 6 Phase-image space conversion.
Fig. 7
Fig. 7 Data structure for storing a pixel point set of the projector.
Fig. 8
Fig. 8 Search process of finding single corresponding points (CC method).
Fig. 9
Fig. 9 Corresponding points finding (VR method).
Fig. 10
Fig. 10 Sensor arrangements in real measurement.
Fig. 11
Fig. 11 Pixel point sets in the image space of the projector from two cameras. (a) IP1 from camera C1. (b) IP2 from camera C2.
Fig. 12
Fig. 12 Corresponding points and rest points of I1 under the image coordinate system of camera C1 in Exp1. (a) Corresponding points. (b) Rest points.
Fig. 13
Fig. 13 Corresponding points and rest points of I2 under the image coordinate system of camera C2 in Exp2. (a) Corresponding points. (b) Rest points.
Fig. 14
Fig. 14 3D point cloud in Exp1. (a) Elevation view. (b) Right elevation.
Fig. 15
Fig. 15 Corresponding points under the image coordinate system of the projector in Exp3.
Fig. 16
Fig. 16 3D point cloud in VR method. (a) Elevation view. (b) Right elevation.

Tables (3)

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Table 2 Experimental data in CC method

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Table 3 Experimental statistics in VR method

Equations (2)

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{ ϕ x = Φ h W x P ϕ y = Φ v H y P
δ=| v(p)-v(p1) |=| ( ϕ 2,x ϕ 1,x1 ) 2 + ( ϕ 2,y ϕ 1,y1 ) 2 |.

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