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

M. Falcone, M. Sagona and A. Seghini
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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

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 503-512 from Springer

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.

Keywords: Input Image; Approximation Scheme; Viscosity Solution; Maximal Solution; Eikonal Equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_47

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DOI: 10.1007/978-88-470-2089-4_47

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