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A scheme for the shape-from-shading model with “black shadows”

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • M. Falcone

    (Università di Roma “La Sapienza”, Dipartimento di Matematica)

  • M. Sagona

    (Università di Roma “La Sapienza”, Dipartimento di Matematica)

  • A. Seghini

    (Università di Roma “La Sapienza”, Dipartimento di Matematica)

Abstract

Summary We propose an approximation scheme for the shape-from-shading (SFS) model which can handle “black shadows” in the image. The approach is global and does not require additional boundary conditions on the interfaces between light and black shadow areas. We analyze properties of the fully discrete scheme and show that the algorithm converges, under appropriate assumptions, to a unique solution by a fixed-point iteration. We present and discuss numerical tests.

Suggested Citation

  • M. Falcone & M. Sagona & A. Seghini, 2003. "A scheme for the shape-from-shading model with “black shadows”," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 503-512, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_47
    DOI: 10.1007/978-88-470-2089-4_47
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