Please use this identifier to cite or link to this item: doi:10.22028/D291-26514
Title: Numerical algorithms for perspective shape from shading
Author(s): Breuß, Michael
Cristiani, Emiliano
Durou, Jean-Denis
Falcone, Maurizio
Vogel, Oliver
Language: English
Year of Publication: 2009
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: The Shape-From-Shading (SFS) problem is a fundamental and classic problem in computer vision. It amounts to compute the 3-D depth of objects in a single given 2-D image. This is done by exploiting information about the illumination and the image brightness. We deal with a recent model for Perspective SFS (PSFS) for Lambertian surfaces. It is defined by a Hamilton-Jacobi equation and complemented by state constraints boundary conditions. In this paper we investigate and compare three state-of-the-art numerical approaches. We begin with a presentation of the methods. Then we discuss the use of some acceleration techniques, including cascading multigrid, for all the tested algorithms. The main goal of our paper is to analyze and compare recent solvers for the PSFS problem proposed in the literature.
Link to this record: urn:nbn:de:bsz:291-scidok-47732
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 240
Date of registration: 6-Jun-2013
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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