The Bas-Relief Ambiguity

@article{Belhumeur1999TheBA,
  title={The Bas-Relief Ambiguity},
  author={Peter N. Belhumeur and David J. Kriegman and Alan L. Yuille},
  journal={International Journal of Computer Vision},
  year={1999},
  volume={35},
  pages={33-44}
}
  • Peter N. Belhumeur, David J. Kriegman, Alan L. Yuille
  • Published in
    International Journal of…
    1999
  • Computer Science
  • AbstractWhen an unknown object with Lambertian reflectance is viewed orthographically, there is an implicit ambiguity in determining its 3-d structure: we show that the object's visible surface f(x, y) is indistinguishable from a “generalized bas-relief” transformation of the object's geometry, $$ {\bar f} $$ (x, y) = λf(x, y) + μx + νy, and a corresponding transformation on the object's albedo. For each image of the object illuminated by an arbitrary number of distant light sources, there… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 25 REFERENCES

    Computer Vision

    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    Photometria Sive de Mensura et Gradibus Luminus, Colorum et Umbrae

    • J. Lambert
    • Eberhard Klett,
    • 1760
    VIEW 12 EXCERPTS
    HIGHLY INFLUENTIAL

    What is the set of images of an object under all possible lighting conditions?

    VIEW 3 EXCERPTS

    Linear fitting with missing data: applications to structure-from-motion and to characterizing intensity images

    • David W. Jacobs
    • Computer Science
    • Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition
    • 1997

    What is a light soruce? In Proc

    • M. Langer, S. Zucker
    • IEEE Conf. on Comp. Vision and Patt. Recog.,
    • 1997
    VIEW 1 EXCERPT

    Affine structure and photometry

    VIEW 1 EXCERPT

    Brady . 3 D motionrecovery via a  ne epipolar geometry

    • A. Zisserman L. Shapiro, M.
    • Proc . IEEE Conf . on Comp . Vision and Patt . Recog . , pages
    • 1996