Unambiguous Photometric Stereo Using Two Images

  • Roberto Mecca
  • Jean-Denis Durou
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6978)


In the last years, the 3D reconstruction of surfaces which represent objects photographed by simple digital cameras has become more and more necessary to the scientific community. Through the most various mathematical and engineering methods, scientists continue to study the Shape-from-shading problem, using the photometric stereo technique which allows the use of several light sources, but keeps the camera at the same point of view. Several studies, through different advances on the problem, have checked that in the applications, the smallest number of photos that have to be considered is three. In this article we analyze the possibility to determine the objects’ surface using two images only.


Shape-from-shading photometric stereo normals integration PDE numerical analysis boundary conditions 


  1. 1.
    Durou, J.-D., Falcone, M., Sagona, M.: Numerical Methods for Shape-from-shading: A New Survey with Benchmarks. CVIU 109(1), 22–43 (2008)Google Scholar
  2. 2.
    Prados, E., Faugeras, O., Camilli, F.: Shape from Shading: a well-posed problem? Rapport de Recherche 5297, INRIA, Sophia Antipolis, France (August 2004)Google Scholar
  3. 3.
    Woodham, R.J.: Photometric Method for Determining Surface Orientation from Multiple Images. Optical Engineering 19(1), 139–144 (1980)CrossRefGoogle Scholar
  4. 4.
    Kozera, R.: Existence and Uniqueness in Photometric Stereo. Appl. Math. Comp. 44(1), 1–103 (1991)MathSciNetCrossRefzbMATHGoogle Scholar
  5. 5.
    Horn, B.K.P., Brooks, M.J.: Shape from Shading. MIT Press, Cambridge (1989)zbMATHGoogle Scholar
  6. 6.
    Mecca, R.: A constructive differential approach to photometric shape-from-shading (2010) (preprint)Google Scholar
  7. 7.
    Durou, J.-D., Aujol, J.-F., Courteille, F.: Integrating the Normal Field of a Surface in the Presence of Discontinuities. In: Cremers, D., Boykov, Y., Blake, A., Schmidt, F.R. (eds.) EMMCVPR 2009. LNCS, vol. 5681, pp. 261–273. Springer, Heidelberg (2009)CrossRefGoogle Scholar
  8. 8.
    Horn, B.K.P., Brooks, M.J.: The Variational Approach to Shape From Shading. CVGIP 33(2), 174–208 (1986)zbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Roberto Mecca
    • 1
  • Jean-Denis Durou
    • 2
  1. 1.Dipartimento di Matematica “G. Castelnuovo”Sapienza - Universitá di RomaItaly
  2. 2.IRIT - Université Paul Sabatier - ToulouseFrance

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