Title
Numerical algorithms for perspective shape from shading.
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.
Year
Venue
Keywords
2010
KYBERNETIKA
hyperbolic partial differential equation,Hamilton-Jacobi equation,finite difference method,semi-Lagrangian scheme,Shape-from-Shading
Field
DocType
Volume
Boundary value problem,Semi-Lagrangian scheme,Computer science,Silhouette,Algorithm,Image processing,Point spread function,Partial differential equation,Photometric stereo,Multigrid method
Journal
46
Issue
ISSN
Citations 
SP2
0023-5954
8
PageRank 
References 
Authors
0.52
8
5
Name
Order
Citations
PageRank
Michael Breuß116825.45
Emiliano Cristiani213212.58
Jean-Denis Durou327320.42
Maurizio Falcone423519.89
Oliver Vogel59510.68