IEMEK Journal of Embedded Systems and Applications (대한임베디드공학회논문지)

Institute of Embedded Engineering of Korea (대한임베디드공학회)
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Photometric Stereo Calibration using Constraint on Light Source Directions

광원 방향에 대한 제한조건을 이용한 Photometric Stereo Calibration

  • Received : 2012.09.03
  • Accepted : 2012.10.04
  • Published : 2013.04.30
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Abstract

This paper proposes one method on photometric stereo calibration using the constraint on light source directions in which the light sources have the unknown tilt and slant angles but the slant angles are the same. First, the constraint is analyzed based on the equation of linear ambiguity which leads to the conclusion that another constraint should be added to solve the calibration completely. Later, the combination of constraint on light source directions and the constraint that there exists at least six surface patches having known albedos is exploited to resolve the linear ambiguity up to an accurate and close-form solution. The effective performance of the proposed method is demonstrated through experiment results.

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References

  1. R.J. Woodham, "Photometric method for determining surface orientation from multiple images," Optical Engineering, Vol. 19, No. 1, pp.139-144, 1980.
  2. H. Hayakawa, "Photometric stereo under a light source with arbitrary motion," Journal of Optical Society of America A, Vol. 11, No. 11, pp.3079-3089, 1994. https://doi.org/10.1364/JOSAA.11.003079
  3. P. Belhumeur, D. Kriegman, A. Yuille, "The bas-relief ambiguity," IJCV, Vol. 35, No. 1, pp.33-44, 1999. https://doi.org/10.1023/A:1008154927611
  4. A. Yuille, D. Snow, "Shape and albedo from multiple images using integrability," Proceedings on IEEE Conference of Computer Vision and Pattern Recognition, pp.158-164, 1997.
  5. A. Yuille, D. Snow, R. Epstein, P. Belhumeur, "Determining generative models of objects under varying illumination: Shape and albedo from multiple images using SVD and integrability," International Journal of Computer Vision, Vol. 35, No. 3, pp.203-222, 1999. https://doi.org/10.1023/A:1008180726317
  6. B.K.P. Horn. "Closed-form solution of absolute orientation using unit quaternions," J. Opt. Soc. Am. A, Vol. 4, pp.629-642, 1987.
  7. N. Alldrin, S.P. Mallick, D.J. Kriegman, "Resolving the generalized bas-relief ambiguity by entropy minimization," Proceedings on IEEE Conference of Computer Vision and Pattern Recognition, pp.1-7, 2007.
  8. O. Drbohlav, R. Sara, "Specularities reduce ambiguity of uncalibrated photometric stereo," Proceedings on ECCV, pp.46-62, 2002.
  9. M. Chandraker, F. Kahl, D. Kriegman, "Reflections on the Generalized Bas-Relief Ambiguity," Proceedings on CVPR, 2005.
  10. Jerry's Taurus Studio Photometric Stereo Database, http://www.taurusstudio.net/index.htm
  11. R. Epstein, P.W. Hallinan, A. Yuille, "$5{\pm}2$ Eigenimages Suffice: An Empirical Investigation of Low-Dimensional Lighting Models," Proceedings on IEEE Workshop of Physics-Based Modeling in Computer Vision, pp.108-116, 1995.