Journal of Mathematical Imaging and Vision

, Volume 7, Issue 2, pp 123–138 | Cite as

Uniqueness in Shape from Shading Revisited

  • Ryszard Kozera


We analyse the problem of representing solutions of first-orderpartial differential equations in terms of complete integrals and envelopes. In this context, we revisit the uniqueness results alreadyexisting in the shape-from-shading literature that concern eikonalequations corresponding to the images of a Lambertian hemi-sphere and aLambertian plane. We show that the approach adopted by Brooks in [2, 3] isincomplete and subsequently re-establish its uniqueness claims.

shape-from-shading complete integral envelopes uniqueness 


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Copyright information

© Kluwer Academic Publishers 1997

Authors and Affiliations

  • Ryszard Kozera
    • 1
    • 2
  1. 1.Department of Computer ScienceThe University of Western Australia, and Technische Universität BerlinNedlandsAustralia
  2. 2.Fachbereich Informatik 13BerlinGermany

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