Skip to main content

Topographic Surface Structure from 2D Images Using Shape-from-Shading

  • Conference paper
  • First Online:
  • 389 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1654))

Abstract

This paper demonstrates how a new shape form shading scheme can be used to extract topographic information from 2D intensity imagery. The shape-from-shading scheme has two novel ingredients. Firstly, it uses a geometric update procedure which allows the image irradiance equation to be satisfied as a hard-constraint. This not only improves the data-closeness of the recovered needle-map, but also removes the necessity for extensive parameter tuning. Secondly, we use curvature information to impose topographic constraints on the recovered needlemap. The topographic information is captured using the shape-index of Koenderink and van Doorn [14] and consistency is imposed using a robust error function. We show that the new shape-from-shading scheme leads to a meaningful topographic labelling of 3D surface structures.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Belhumeur, P. N. and Kriegman, D. J. (1996) What is the Set of Images of an Object Under All Possible Lighting Conditions? Proc. IEEE Conference on Computer Vision and Pattern Recognition, pp. 270–277.

    Google Scholar 

  2. Bichsel, M. and Pentland, A. P. (1992) A Simple Algorithm for Shape from Shading, Proc. IEEE Conference on Computer Vision and Pattern Recognition, pp. 459–465.

    Google Scholar 

  3. Brooks, M. J. and Horn, B. K. P. (1986) Shape and Source from Shading, IJCAI, pp. 932–936, 1985.

    Google Scholar 

  4. Bruckstein, A. M. (1988) On Shape from Shading, CVGIP, Vol. 44, pp. 139–154.

    Google Scholar 

  5. Dorai C.and Jain A. K., “Shape Spectrum based View Grouping and Matching of 3D free-from objects”, IEEE PAMI, 19, pp. 1139–1146, 1997.

    Google Scholar 

  6. Ferrie, F. P. and Lagarde, J. (1990)Curvature Consistency Improves Local Shading Analysis, Proc. IEEE International Conference on Pattern Recognition, Vol. I, pp. 70–76.

    Article  Google Scholar 

  7. Hoaglin, D. C., Mosteller, F. and Tukey, J. W. (eds.) (1983) Understanding robust and exploratory data analysis, Wiley, New York.

    MATH  Google Scholar 

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

    Google Scholar 

  9. Horn, B. K. P. and Brooks, M.J. (1986) The Variational Approach to Shape from Shading, CVGIP, Vol. 33, No. 2, pp. 174–208.

    Google Scholar 

  10. Horn, B. K. P. and Brooks, M. J. (eds.), Shape from Shading, MIT Press, Cambridge, MA, 1989.

    Google Scholar 

  11. Horn, B. K. P. (1990) Height and Gradient from Shading, IJCV, Vol. 5, No. 1, pp. 37–75.

    Article  Google Scholar 

  12. Huber, P. (1981) Robust Statistics, Wiley, Chichester.

    MATH  Google Scholar 

  13. Ikeuchi, K. and Horn, B. K. P. (1981) Numerical Shape from Shading and Occluding Boundaries, Artificial Intelligence, Vol. 17, No. 3, pp. 141–184.

    Article  Google Scholar 

  14. Koenderink, J. J. and van Doorn, A.J. (1992) Surface Shape and Curvature Scales, Image and Vision Computing, Vol. 10, pp. 557–565.

    Article  Google Scholar 

  15. Koenderink, J. J., van Doorn, A.J., Christou, C. and Lappin, J.S. (1996) Perturbation study of shading in pictures, Perception, Vol. 25, No. 9, pp. 1009–1026.

    Article  Google Scholar 

  16. Li, S. Z. (1995) Discontinuous MRF Prior and Robust Statistics: a Comparative Study, Image and Vision Computing, Vol. 13, No. 3, pp. 227–233.

    Article  Google Scholar 

  17. Marr, D. C. (1982), Vision, Freeman, San Francisco.

    Google Scholar 

  18. Parent, P. and Zucker, S. W. (1985) Curvature Consistency and Curve Detection, J. Opt. Soc. America A, Vol. 2, No. 13, p. 5.

    Google Scholar 

  19. Pentland, A. P. (1984) Local Shading Analysis, IEEE PAMI, Vol. 6, pp. 170–187.

    Google Scholar 

  20. Sander P. and Zucker S. W., “Inferring Surface Structure and Differential Structure from 3D Images”, IEEE PAMI, 12, 833–854, 1990.

    Google Scholar 

  21. Szeliski, R. (1991) Fast Shape from Shading, CVGIP: Image Understanding, Vol. 53, pp. 129–153.

    Article  MATH  Google Scholar 

  22. Worthington, P. L. and Hancock, E. R. (1997) Needle Map Recovery using Robust Regularizers, Proc. British Machine Vision Conference, BMVA Press, Vol. I, pp. 31–40.

    Google Scholar 

  23. Worthington, P. L. and Hancock, E. R. (1998) Needle Map Recovery using Robust Regularizers, Image and Vision Computing, to appear.

    Google Scholar 

  24. Worthington P. L., Huet B. and Hancock E. R., “Appearence based object recognition using shape-from-shading”, Proceedings of the 14th International Conference on Pattern Recongition, pp. 412–416, 1998.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Worthington, P.L., Hancock, E.R. (1999). Topographic Surface Structure from 2D Images Using Shape-from-Shading. In: Hancock, E.R., Pelillo, M. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 1999. Lecture Notes in Computer Science, vol 1654. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48432-9_2

Download citation

  • DOI: https://doi.org/10.1007/3-540-48432-9_2

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66294-5

  • Online ISBN: 978-3-540-48432-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics