Paper Info
Title
Application of Computer Algebra to Photometric Stereo with Two Light Sources.
Abstract
This paper addresses the problem of reconstructing the shape of an unknown Lambertian surface from its two photometric images obtained by successive illumination of the surface with two different remote light sources. Using computer algebra methods, we investigate the conditions of existence and uniqueness of a solution to a system of algebraic equations that determine the gradient of a function of two variables given by the equation u(x, y) − z = 0. We also analyze necessary and sufficient conditions for unique determination of a second-order algebraic surface from its two images in the general case. Correctness of the theoretical results obtained is confirmed by simulating photometric images of various surfaces.
Year
DOI
Venue
2018
10.1134/S0361768818020068
Programming and Computer Software
Field
DocType
Volume
Uniqueness,Discrete mathematics,Algebra,Computer science,Correctness,Binary function,Symbolic computation,Algebraic surface,Photometry (optics),Algebraic equation,Photometric stereo
Journal
44
Issue
ISSN
Citations 
2
0361-7688
2
PageRank 
References 
Authors
0.40
6
2
Name
Order
Citations
PageRank
Ryszard Kozera116326.54
Alexander N. Prokopenya23512.13