Abstract

A vision-based method is proposed to measure the 3D shape of external and internal surfaces (not accessible) of smooth transparent objects. Looking at the reflections of point sources on a specular surface with a polarimetric camera, we combine the measurements of two techniques: shape from distortion and shape from polarization. It permits us to recover the position and orientation of the specular surface for each detected point. The internal surface of transparent objects exhibiting as well a specular component, the same technique is used on the highlights coming from the back surface, taking into account the refraction by using polarimetric ray tracing.

© 2014 Optical Society of America

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  1. I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).
  2. A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).
  3. M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).
  4. D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
    [CrossRef]
  5. M. Ferraton, C. Stolz, and F. Mériaudeau, Opt. Express 17, 21077 (2009).
    [CrossRef]
  6. N. J. W. Morris and K. N. Kutulakos, in IEEE ICCV (IEEE, 2007), pp. 1–8.
  7. G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.
  8. K. N. Kutulakos and E. Steger, Int. J. Comput. Vis. 76, 13 (2008).
  9. B. Trifonov, D. Bradley, and W. Heidrich, in Proceedings of the Eurographics Symposium on Rendering (Eurographics Association, 2006), pp. 51–60.
  10. M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).
  11. M. Ben-Ezra and S. K. Nayar, in IEEE ICCV (IEEE, 2003), Vol. 2, pp. 1025–1032.
  12. S. Savarese and P. Perona, in ECCV (Springer, 2002), Vol. 2351, pp. 759–774.
  13. R. Longhurst, Optics, 3rd ed. (Addison-Wesley, 1973).
  14. M. Born and E. Wolf, Principles of Optics (Pergamon, 1959).
  15. C. Stolz, M. Ferraton, and F. Mériaudeau, Opt. Lett. 37, 4218 (2012).
    [CrossRef]
  16. G. Glaeser and H.-P. Schröcker, J. Geom. Graph. 4, 1 (2000).
  17. S. B. Howell, Astron. Soc. Pac. Conf. 101, 616 (1989).
    [CrossRef]

2012 (1)

2009 (1)

2008 (2)

K. N. Kutulakos and E. Steger, Int. J. Comput. Vis. 76, 13 (2008).

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

2005 (1)

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

2002 (1)

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

2000 (1)

G. Glaeser and H.-P. Schröcker, J. Geom. Graph. 4, 1 (2000).

1989 (1)

S. B. Howell, Astron. Soc. Pac. Conf. 101, 616 (1989).
[CrossRef]

1988 (1)

A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).

Ben-Ezra, M.

M. Ben-Ezra and S. K. Nayar, in IEEE ICCV (IEEE, 2003), Vol. 2, pp. 1025–1032.

Born, M.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1959).

Bradley, D.

B. Trifonov, D. Bradley, and W. Heidrich, in Proceedings of the Eurographics Symposium on Rendering (Eurographics Association, 2006), pp. 51–60.

Ferraton, M.

Fuchs, M.

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

Glaeser, G.

G. Glaeser and H.-P. Schröcker, J. Geom. Graph. 4, 1 (2000).

Goesele, M.

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

Heidrich, W.

B. Trifonov, D. Bradley, and W. Heidrich, in Proceedings of the Eurographics Symposium on Rendering (Eurographics Association, 2006), pp. 51–60.

G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

Howell, S. B.

S. B. Howell, Astron. Soc. Pac. Conf. 101, 616 (1989).
[CrossRef]

Hullin, M. B.

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

Ihrke, I.

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

Ikeuchi, K.

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

Kutulakos, K. N.

K. N. Kutulakos and E. Steger, Int. J. Comput. Vis. 76, 13 (2008).

N. J. W. Morris and K. N. Kutulakos, in IEEE ICCV (IEEE, 2007), pp. 1–8.

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

Lensch, H. P. A.

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

Longhurst, R.

R. Longhurst, Optics, 3rd ed. (Addison-Wesley, 1973).

Magnor, M.

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

Mériaudeau, F.

Miyazaki, D.

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

Morris, N. J. W.

N. J. W. Morris and K. N. Kutulakos, in IEEE ICCV (IEEE, 2007), pp. 1–8.

Nayar, S. K.

A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).

M. Ben-Ezra and S. K. Nayar, in IEEE ICCV (IEEE, 2003), Vol. 2, pp. 1025–1032.

Perona, P.

S. Savarese and P. Perona, in ECCV (Springer, 2002), Vol. 2351, pp. 759–774.

Raskar, R.

G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.

Roodnick, D.

G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.

Saito, M.

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

Sanderson, A. C.

A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).

Sato, Y.

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

Savarese, S.

S. Savarese and P. Perona, in ECCV (Springer, 2002), Vol. 2351, pp. 759–774.

Schröcker, H.-P.

G. Glaeser and H.-P. Schröcker, J. Geom. Graph. 4, 1 (2000).

Seidel, H.-P.

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

Steger, E.

K. N. Kutulakos and E. Steger, Int. J. Comput. Vis. 76, 13 (2008).

Stolz, C.

Tarini, M.

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

Trifonov, B.

B. Trifonov, D. Bradley, and W. Heidrich, in Proceedings of the Eurographics Symposium on Rendering (Eurographics Association, 2006), pp. 51–60.

Weiss, L. E.

A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).

Wetzstein, G.

G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Pergamon, 1959).

ACM Trans. Graph. (1)

M. B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H. P. A. Lensch, ACM Trans. Graph. 27, 87 (2008).

Astron. Soc. Pac. Conf. (1)

S. B. Howell, Astron. Soc. Pac. Conf. 101, 616 (1989).
[CrossRef]

Graph. Models (1)

M. Tarini, H. P. A. Lensch, M. Goesele, and H.-P. Seidel, Graph. Models 67, 233 (2005).

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

A. C. Sanderson, L. E. Weiss, and S. K. Nayar, IEEE Trans. Pattern Anal. Mach Intell. 10, 44 (1988).

Int. J. Comput. Vis. (1)

K. N. Kutulakos and E. Steger, Int. J. Comput. Vis. 76, 13 (2008).

J. Geom. Graph. (1)

G. Glaeser and H.-P. Schröcker, J. Geom. Graph. 4, 1 (2000).

J. Opt. Soc. Am. (1)

D. Miyazaki, M. Saito, Y. Sato, and K. Ikeuchi, J. Opt. Soc. Am. 19, 687 (2002).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Other (8)

B. Trifonov, D. Bradley, and W. Heidrich, in Proceedings of the Eurographics Symposium on Rendering (Eurographics Association, 2006), pp. 51–60.

N. J. W. Morris and K. N. Kutulakos, in IEEE ICCV (IEEE, 2007), pp. 1–8.

G. Wetzstein, D. Roodnick, W. Heidrich, and R. Raskar, in IEEE ICCV (IEEE, 2011), pp. 1180–1186.

M. Ben-Ezra and S. K. Nayar, in IEEE ICCV (IEEE, 2003), Vol. 2, pp. 1025–1032.

S. Savarese and P. Perona, in ECCV (Springer, 2002), Vol. 2351, pp. 759–774.

R. Longhurst, Optics, 3rd ed. (Addison-Wesley, 1973).

M. Born and E. Wolf, Principles of Optics (Pergamon, 1959).

I. Ihrke, K. N. Kutulakos, H. P. A. Lensch, M. Magnor, and W. Heidrich, in STAR Eurographics (Eurographics Association, 2008).

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