Skip to main content

Shape-from-Shading Algorithm for Oblique Light Source

  • Conference paper
Book cover Advances in Visual Computing (ISVC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4842))

Included in the following conference series:

Abstract

Shape-from-shading method for oblique light source appears most applicable with minimal effects of the convex-concave ambiguity and shadows. In this paper, first, a robust iterative relation that reconstructs shape is constructed by applying the Jacobi iterative method to the equation between the reflectance map and image for each of the four approximations of the surface normal and by combining the resulting four relations as constraints. The relation ensures convergence, but that alone is not enough to reconstruct correct shapes for bright image parts or mathematically singular points. Next, to solve the problem, the light direction is tilted in slant angle following a criterion and the average tilt of the resulting shape is compensated. A numerical study using synthetic Mozart images shows that the method works well for a wide direction of the light source and that it gives more correct shapes than any of existing methods. Results for real images are also given, showing its usefulness more convincingly.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Horn, B.K.P.: Obtaining Shape from Shading Information. In: Winston, P.H. (ed.) The Psychology of Computer Vision, pp. 115–155. McGraw-Hill, New York (1975)

    Google Scholar 

  2. Zheng, Q., Chellappa, R.: Estimation of Illuminant Direction, Albedo, and Shape from Shading. IEEE Trans. PAMI 13(7), 680–702 (1991)

    Google Scholar 

  3. Worthington, P.L., Hancock, E.R.: New Constraints on Data-Closeness and Needle Map Consistency for Shape-from- Shading. IEEE Trans. PAMI 21(12), 1250–1267 (1999)

    Google Scholar 

  4. Tsai, P.S., Shah, M.: Shape from Shading Using Linear Approximation. J. Imaging and Vision Computing 12(8), 487–498 (1994)

    Article  Google Scholar 

  5. Bichsel, M., Pentland, A.: A Simple Algorithm for Shape from Shading. In: Proc. CVPR, pp. 459–465 (1992)

    Google Scholar 

  6. Kimmel, R., Bruckstein, A.M.: Tracking Level Sets by Level Sets: A Method for Solving Shape from Shading Problem. CVIU 62(2), 47–58 (1995)

    Google Scholar 

  7. Samaras, D., Metaxas, D.: Incorporating Illumination Constraints in Deformable Models for Shape from Shading and Light Direction Estimation. PAMI 25(2), 247–264 (2003)

    Google Scholar 

  8. Metaxas, D., Terzopoulos, D.: Shape and Nonrigid Motion Estimation through Physics-Based Synthesis. IEEE Trans. PAMI 15(6), 580–591 (1993)

    Google Scholar 

  9. Prados, E., Faugeras, O., Rouy, E.: Shape from Shading and Viscosity Solutions. In: Tistarelli, M., Bigun, J., Jain, A.K. (eds.) ECCV 2002. LNCS, vol. 2359, pp. 790–804. Springer, Heidelberg (2002)

    Google Scholar 

  10. Kimmel, R., Sethian, J.A.: Optimal Algorithm for Shape from Shading. Mathematical Imaging and Vision 14(3), 237–244 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  11. Durou, J., Falcone, M., Sagona, M.: A Survey of Numerical Methods for Shape from Shading. Research Report IRIT 2004-2-R (2004)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

George Bebis Richard Boyle Bahram Parvin Darko Koracin Nikos Paragios Syeda-Mahmood Tanveer Tao Ju Zicheng Liu Sabine Coquillart Carolina Cruz-Neira Torsten Müller Tom Malzbender

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ikeda, O. (2007). Shape-from-Shading Algorithm for Oblique Light Source. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2007. Lecture Notes in Computer Science, vol 4842. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76856-2_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-76856-2_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-76855-5

  • Online ISBN: 978-3-540-76856-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics