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Cybernetics and Systems Analysis

, Volume 43, Issue 2, pp 310–314 | Cite as

Minimization problem in recovering the surface shape from shaded image

  • O. Ya. Koval’chuk
  • P. I. Chopyk
Article
  • 25 Downloads

Abstract

A mechanism of shape recovery when the light is reflected from a surface is considered. Shape-from-shading recovery is shown to be possible for both diffuse and mirror reflections. Minimization methods are proposed to use to improve the mirror reflection algorithm.

Keywords

shape from shading BRDF Lambertian model minimization methods 

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References

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    R. Zhang, P. S. Tsai, J. E. Cryer, and M. Shah, “Shape from shading: A survey,” IEEE Trans. on PAMI, 21(8), 63–79 (1999).Google Scholar
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    B. K. P. Horn, Robot Vision, MIT Press, Cambridge (1986).Google Scholar
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    V. V. Stepanov, Course of Differential Equations [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1950).Google Scholar
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    B. K. P. Horn, “Height and gradient from shading,” Intern. J. Comput. Vision, 5, No. 1, 37–75 (1990).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • O. Ya. Koval’chuk
    • 1
  • P. I. Chopyk
    • 2
  1. 1.I. Gorbachevskii State Medical UniversityTernopolUkraine
  2. 2.V. Gnatyuk State Pedagogical UniversityTernopolUkraine

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