Skip to main content
SpringerLink
Log in

Minimization problem in recovering the surface shape from shaded image

  • Published:
Cybernetics and Systems Analysis Aims and scope

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. 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 

  2. B. K. P. Horn, Robot Vision, MIT Press, Cambridge (1986).

    Google Scholar 

  3. V. V. Stepanov, Course of Differential Equations [in Russian], Gos. Izd. Fiz.-Mat. Lit., Moscow (1950).

    Google Scholar 

  4. B. K. P. Horn, “Height and gradient from shading,” Intern. J. Comput. Vision, 5, No. 1, 37–75 (1990).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. I. Gorbachevskii State Medical University, Ternopol, Ukraine

    O. Ya. Koval’chuk

  2. V. Gnatyuk State Pedagogical University, Ternopol, Ukraine

    P. I. Chopyk

Authors
  1. O. Ya. Koval’chuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. I. Chopyk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 183–188, March–April 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Koval’chuk, O.Y., Chopyk, P.I. Minimization problem in recovering the surface shape from shaded image. Cybern Syst Anal 43, 310–314 (2007). https://doi.org/10.1007/s10559-007-0050-x

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-007-0050-x

Keywords

Search

Navigation