Abstract

This paper presents a multispectral imaging system for 3D reconstruction of transparent objects based on “shape from polarization” technique. The originality of this work relies on a multispectral active lighting system which enables to cope with the two ambiguities on the zenith angle and azimuth angle. A calibration step allows optimising the polarimetric measurements. Example of a reconstructed transparent object is presented.

© 2009 OSA

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References

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  1. J. F. Pelletier and X. Maldague, “Shape from Heating: A Two-Dimensional Approach for Shape Extraction in Infrared Images,” Opt. Eng. 36(2), 370–375 (1997).
    [CrossRef]
  2. C. Liu, L. Czuban, P. Bison, E. Grinzato, S. Marinetti, and X. Maldague, Complex -Surfaced objects:effects on phase and amplitude images in pulsed phase thermography”, Proceedings of the 12th A-PCNDT 2006 – Asia-Pacific Conference on NDT, 5th – 10th Nov 2006, Auckland, New Zealand.
  3. G. Eren, O. Aubreton, F. Mériaudeau, L. A. Sanchez Secades, D. Fofi, F. Truchetet, and A. Erçil, “Scanning From Heating: 3D shape estimation of transparent objects from local surface heating,” Opt. Express 17(14), 11457-11468 (2009).
    [CrossRef]
  4. O. Aubreton, A. Erçil, G. Eren, D. Fofi, F. Mériaudeau, L. A. Sanchez Secades, F. Truchetet, “3D Scanner Based On Scanning From Heating,” PCT application number: PCT/IB08/055328, 2009.
  5. L. B. Wolff, “Polarization vision: a new sensory approach to image understanding,” Image Vis. Comput. 15(2), 81–93 (1997).
    [CrossRef]
  6. D. Miyazaki and K. Ikeuchi, “Shape Estimation of Transparent Objects by Using Inverse Polarization Ray Tracing,” IEEE Trans. Pattern Anal. Machine Intelligence 29(11), 2018–2030 (2007).
    [CrossRef]
  7. M. Saito, Y. Sato, K. Ikeuchi, and H. Kashiwagi, “Measurement of Surface Orientations of Transparent Objects by Use of Polarization in Highlight,” J. Opt. Soc. Am. A 16(9), 2286–2293 (1999).
    [CrossRef]
  8. D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, “Determining Surface Orientations of Transparent Objects Based on Polarization Degrees in Visible and Infrared Wavelength,” J. Opt. Soc. Am. A 19(4), 687–694 (2002).
    [CrossRef]
  9. O. Morel, C. Stolz, F. Meriaudeau, and P. Gorria, “Active Lighting Applied to 3D Reconstruction of Specular Metallic Surfaces by Polarization Imaging,” Appl. Opt. 45(17), 4062–4068 (2006).
    [CrossRef] [PubMed]
  10. M. Ferraton, C. Stolz, F. Meriaudeau, “Shape measurement of transparent objects with polarisation imaging,” Photon. Europe Strasbourg. 7000–65 (2008).
  11. N. Walter, O. Aubreton, and O. Laligant, “Salient point characterization for low resolution meshes”, IEEE International Conference on Image Processing, San Diego, CA, 1512–1515 (2008).
  12. R. Frankot and R. Chellappa, “A method for enforcing integrability in shape from shading algorithms,” IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 439–451 (1988).
    [CrossRef]

2007 (1)

D. Miyazaki and K. Ikeuchi, “Shape Estimation of Transparent Objects by Using Inverse Polarization Ray Tracing,” IEEE Trans. Pattern Anal. Machine Intelligence 29(11), 2018–2030 (2007).
[CrossRef]

2006 (1)

2002 (1)

1999 (1)

1997 (2)

J. F. Pelletier and X. Maldague, “Shape from Heating: A Two-Dimensional Approach for Shape Extraction in Infrared Images,” Opt. Eng. 36(2), 370–375 (1997).
[CrossRef]

L. B. Wolff, “Polarization vision: a new sensory approach to image understanding,” Image Vis. Comput. 15(2), 81–93 (1997).
[CrossRef]

1988 (1)

R. Frankot and R. Chellappa, “A method for enforcing integrability in shape from shading algorithms,” IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 439–451 (1988).
[CrossRef]

Aubreton, O.

Chellappa, R.

R. Frankot and R. Chellappa, “A method for enforcing integrability in shape from shading algorithms,” IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 439–451 (1988).
[CrossRef]

Erçil, A.

Eren, G.

Fofi, D.

Frankot, R.

R. Frankot and R. Chellappa, “A method for enforcing integrability in shape from shading algorithms,” IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 439–451 (1988).
[CrossRef]

Gorria, P.

Ikeuchi, K.

Kashiwagi, H.

Maldague, X.

J. F. Pelletier and X. Maldague, “Shape from Heating: A Two-Dimensional Approach for Shape Extraction in Infrared Images,” Opt. Eng. 36(2), 370–375 (1997).
[CrossRef]

Meriaudeau, F.

Mériaudeau, F.

Miyazaki, D.

D. Miyazaki and K. Ikeuchi, “Shape Estimation of Transparent Objects by Using Inverse Polarization Ray Tracing,” IEEE Trans. Pattern Anal. Machine Intelligence 29(11), 2018–2030 (2007).
[CrossRef]

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, “Determining Surface Orientations of Transparent Objects Based on Polarization Degrees in Visible and Infrared Wavelength,” J. Opt. Soc. Am. A 19(4), 687–694 (2002).
[CrossRef]

Morel, O.

Pelletier, J. F.

J. F. Pelletier and X. Maldague, “Shape from Heating: A Two-Dimensional Approach for Shape Extraction in Infrared Images,” Opt. Eng. 36(2), 370–375 (1997).
[CrossRef]

Saito, M.

Sanchez Secades, L. A.

Sato, Y.

Stolz, C.

Truchetet, F.

Wolff, L. B.

L. B. Wolff, “Polarization vision: a new sensory approach to image understanding,” Image Vis. Comput. 15(2), 81–93 (1997).
[CrossRef]

Appl. Opt. (1)

IEEE Trans. Pattern Anal. Mach. Intell. (1)

R. Frankot and R. Chellappa, “A method for enforcing integrability in shape from shading algorithms,” IEEE Trans. Pattern Anal. Mach. Intell. 10(4), 439–451 (1988).
[CrossRef]

IEEE Trans. Pattern Anal. Machine Intelligence (1)

D. Miyazaki and K. Ikeuchi, “Shape Estimation of Transparent Objects by Using Inverse Polarization Ray Tracing,” IEEE Trans. Pattern Anal. Machine Intelligence 29(11), 2018–2030 (2007).
[CrossRef]

Image Vis. Comput. (1)

L. B. Wolff, “Polarization vision: a new sensory approach to image understanding,” Image Vis. Comput. 15(2), 81–93 (1997).
[CrossRef]

J. Opt. Soc. Am. A (2)

Opt. Eng. (1)

J. F. Pelletier and X. Maldague, “Shape from Heating: A Two-Dimensional Approach for Shape Extraction in Infrared Images,” Opt. Eng. 36(2), 370–375 (1997).
[CrossRef]

Opt. Express (1)

Other (4)

C. Liu, L. Czuban, P. Bison, E. Grinzato, S. Marinetti, and X. Maldague, Complex -Surfaced objects:effects on phase and amplitude images in pulsed phase thermography”, Proceedings of the 12th A-PCNDT 2006 – Asia-Pacific Conference on NDT, 5th – 10th Nov 2006, Auckland, New Zealand.

M. Ferraton, C. Stolz, F. Meriaudeau, “Shape measurement of transparent objects with polarisation imaging,” Photon. Europe Strasbourg. 7000–65 (2008).

N. Walter, O. Aubreton, and O. Laligant, “Salient point characterization for low resolution meshes”, IEEE International Conference on Image Processing, San Diego, CA, 1512–1515 (2008).

O. Aubreton, A. Erçil, G. Eren, D. Fofi, F. Mériaudeau, L. A. Sanchez Secades, F. Truchetet, “3D Scanner Based On Scanning From Heating,” PCT application number: PCT/IB08/055328, 2009.

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Figures (5)

Fig. 1
Fig. 1

Optical system for calibration, the polarizer on the left is only used for the calibration.

Fig. 2
Fig. 2

Automatic detection of the maximum based on a saliency detector.

Fig. 3
Fig. 3

Average degree of polarization recorded for different plate tilt for the three wavelengths and complex index estimation

Fig. 4
Fig. 4

Degree of polarization difference (negative value in blue, positive value in red).

Fig. 5
Fig. 5

3D reconstruction and error map.

Equations (5)

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I P ( α )= I 2 ( ρ cos (2 α -2 φ )+1)
ρ = I max I min I max + I min
ϕ = φ ± π 2
ρ = 2 sin ( θ ) tan ( θ ) n 2 sin 2 ( θ ) n 2 2 sin 2 ( θ ) + tan 2 ( θ )
ρ = 2 n sin ( θ ) tan ( θ ) sin 2 ( θ ) tan 2 ( θ ) + n 2 ( 1 + k 2 )

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