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 hdl:20.500.11880/26570 http://dx.doi.org/10.22028/D291-26514 |
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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preprint_240_09.pdf | 476,55 kB | Adobe PDF | View/Open |
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