%0 Conference Proceedings
%T Orthogonal Illuminations in Two Light-Source Photometric Stereo
%+ Warsaw University of Life Sciences (SGGW)
%A Kozera, Ryszard
%A Prokopenya, Alexander
%Z Part 6: Algorithms
%< avec comité de lecture
%( Lecture Notes in Computer Science
%B 15th IFIP International Conference on Computer Information Systems and Industrial Management (CISIM)
%C Vilnius, Lithuania
%Y Khalid Saeed
%Y Władysław Homenda
%I Springer International Publishing
%3 Computer Information Systems and Industrial Management
%V LNCS-9842
%P 402-415
%8 2016-09-14
%D 2016
%R 10.1007/978-3-319-45378-1_36
%K Photometric stereo
%K Image irradiance equation
%K Ambiguity in shape reconstruction
%K Computer vision
%Z Computer Science [cs]
%Z Humanities and Social Sciences/Library and information sciencesConference papers
%X In this paper we investigate the case of ambiguous shape reconstruction from two light-source photometric stereo based on illuminating the unknown Lambertian surface. So-far this problem is merely well-understood for two linearly independent light-source directions with one illumination assumed as overhead. As already established, a necessary and sufficient condition to disambiguate the entire shape reconstruction process is controlled by the satisfaction of the corresponding second-order linear PDE with constant coefficients in two independent variables. This work extends the latter to an arbitrary pair of light-source directions transforming the above constraint into a special nonlinear PDE. In addition, a similar ambiguity analysis is also performed for a special configuration of two light-source directions assumed this time as orthogonal and contained in the vertical plane. Finally, this work is supplemented by illustrative examples exploiting symbolic computation used within a framework of continuous reflectance map model (i.e. an image irradiance equation) and applied to a genuine Lambertian surfaces.
%G English
%Z TC 8
%2 https://inria.hal.science/hal-01637521/document
%2 https://inria.hal.science/hal-01637521/file/419526_1_En_36_Chapter.pdf
%L hal-01637521
%U https://inria.hal.science/hal-01637521
%~ SHS
%~ IFIP-LNCS
%~ IFIP
%~ IFIP-TC
%~ IFIP-TC8
%~ IFIP-CISIM
%~ IFIP-LNCS-9842