MEASUREMENT NOISE IN PHOTOMETRIC STEREO BASED SURFACE RECONSTRUCTION

Toni Kuparinen, Ville Kyrki, Pekka Toivanen

Abstract

In this paper, we present a noise reduction method for photometric stereo based surface reconstruction of surfaces with high frequency height variation. Such surfaces are important for many industrial settings, for example, in paper and textile manufacturing. The paper presents the derivation of the effect of white image noise to gradient fields. Based on the derivation, a denoising approach of the gradient fields using the Wiener filter is proposed. Several known surface reconstruction methods with and without the proposed denoising approach are evaluated experimentally, with respect to the effect of the noise, and the boundary conditions of the reconstruction. The experimental results validate that the proposed approach improves the surface reconstruction on surfaces with high frequency height variation.

References

  1. Agrawal, A., Raskar, R., and Chellappa, R. (2006). What is the range of surface reconstructions from a gradient field? In Proc. ECCV, pages 578-591.
  2. Drbohlav, O. and Chantler, M. (2005). On optimal light configurations in photometric stereo. In Proc. IEEE ICCV.
  3. Frankot, R. and Chellappa, R. (1988). A method for enforcing integrability in shape from shading algorithms. IEEE PAMI, 10(4):435-446.
  4. Gonzalez, R. and Woods, R. (2002). Digital Image Processing. Prentice Hall.
  5. Hansson, P. and Johansson, P.-A. (2000). Topography and reflectance analysis of paper surfaces using a photometric stereo method. Opt. Eng., 39(9):2555-2561.
  6. Horn, B. (1990). Height and gradient from shading. Int. J. Comput. Vision, 5(1):37-75.
  7. Karacali, B. and Snyder, W. (2004). Noise reduction in surface reconstruction from a given gradient field. International Journal of Computer Vision, 60:25-44.
  8. Kuparinen, T., Kyrki, V., Mielikainen, J., and Toivanen, P. (2007). On surface reconstruction from gradient fields. In Proc. of IEEE ICIP, pages II 545-548.
  9. Lambert, J. (2001). Photometry, or, on the measure and gradations of light, colors, and shade: translation from the Latin of photometria, sive, de mensura et gradibus luminis, colorum et umbrae. Illuminating Engineering Society of North America.
  10. McGunnigle, G. and Chantler, M. (2003). Rough surface description using photometric stereo. Measurement Science and Technology, 14:699-709.
  11. Noakes, L. and Kozera, R. (2003). Nonlinearities and noise reduction in 3-source photometric stereo. Journal of Mathematical Imaging and Vision, 18:119-127.
  12. Simchony, T., Chellappa, R., and Shao, M. (1990). Direct analytical methods for solving Poisson equations in computer vision problems. IEEE PAMI, 12(5):435- 446.
  13. Wei, T. and Klette, R. (2003). Depth recovery from noisy gradient vector fields using regularization. In Proc. of CAIP, pages 116-123.
  14. Woodham, R. (1978). Photometric stereo. MIT A.I. Laboratory Memo. No. 479.
Download


Paper Citation


in Harvard Style

Kuparinen T., Kyrki V. and Toivanen P. (2008). MEASUREMENT NOISE IN PHOTOMETRIC STEREO BASED SURFACE RECONSTRUCTION . In Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008) ISBN 978-989-8111-21-0, pages 571-576. DOI: 10.5220/0001083805710576


in Bibtex Style

@conference{visapp08,
author={Toni Kuparinen and Ville Kyrki and Pekka Toivanen},
title={MEASUREMENT NOISE IN PHOTOMETRIC STEREO BASED SURFACE RECONSTRUCTION},
booktitle={Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008)},
year={2008},
pages={571-576},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001083805710576},
isbn={978-989-8111-21-0},
}


in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2008)
TI - MEASUREMENT NOISE IN PHOTOMETRIC STEREO BASED SURFACE RECONSTRUCTION
SN - 978-989-8111-21-0
AU - Kuparinen T.
AU - Kyrki V.
AU - Toivanen P.
PY - 2008
SP - 571
EP - 576
DO - 10.5220/0001083805710576