Curvature Consistency for Shape-from-Shading

  • Fabio Sartori
  • Edwin R. Hancock
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2749)


This paper describes a new curvature consistency method for shape-from-shading. Our idea is to combine evidence for the best surface normal direction. To do this we transport surface normals across the surface using a local estimate of the Hessian matrix. The evidence combination process uses the normal curvature to compute a weighted average surface normal direction. We experiment with the resulting shape-from-shading method on a variety of real world synthetic data.


  1. 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. 2.
    Bruckstein, A.M. (1988) On Shape from Shading, CVGIP, Vol. 44, pp. 139–154.Google Scholar
  3. 3.
    Do Carmo M.P. (1976), Differential Geometry of Curves and Surfaces, Prentice Hall.Google Scholar
  4. 4.
    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.CrossRefGoogle Scholar
  5. 5.
    Horn, B.K.P. and Brooks, M.J. (eds.), Shape from Shading, MIT Press, Cambridge, MA, 1989.Google Scholar
  6. 6.
    Horn, B.K.P. (1990) Height and Gradient from Shading, IJCV, Vol. 5, No. 1, pp. 37–75.CrossRefGoogle Scholar
  7. 7.
    Koenderink, J.J. (1990) Solid Shape, MIT Press, Cambridge MA.Google Scholar
  8. 8.
    Oliensis, J. and Dupuis, P. (1994) An Optimal Control Formulation and Related Numerical Methods for a Problem in Shape Reconstruction, Ann. of App. Prob. Vol. 4, No. 2, pp. 287–346.zbMATHMathSciNetCrossRefGoogle Scholar
  9. 9.
    Sander, P. and Zucker, S. (1990) Inferring surface trace and differential structure from 3-d images, PAMI, 12(9):833–854.Google Scholar
  10. 10.
    Worthington, P.L. and Hancock, E.R. (1999) New Constraints on Data-closeness and Needle-map consistency for SFS, IEEE Transactions on Pattern Analysis, Vol. 21, 1250–1267.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Fabio Sartori
    • 1
  • Edwin R. Hancock
    • 1
  1. 1.Department of Computer ScienceUniversity of YorkYorkUK

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