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Linear perspective shape-from-shading method with two images

Yang, L and Zhang, N and Ren, Y and Hu, H (2015) 'Linear perspective shape-from-shading method with two images.' Journal of Systems Engineering and Electronics, 26 (5). 1080 - 1087. ISSN 1004-4132

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Abstract

© 2011 Beijing Institute of Aerospace Information. Shape-from-shading (SFS) is one of the important approaches of 3-D surface reconstruction in computer vision. Since reflectance map equation in SFS is a nonlinear partial differential equation (PDE) with two unknown variables, SFS with one image is ill-posed in mathematical sense. A linear perspective SFS method with two images is proposed to deal with the problem. We assume that two images with different light source directions are captured firstly. Orthogonal projection is not as accurate as perspective one to simulate imaging processes. Two reflectance map equations are established based on the Lambertian model under perspective projection, and the equations are further transformed into one linear PDE. Then the iterative semi-Lagrangian algorithm is used to approximate the solution. Finally, 3-D height values of pixel points in imaging planes are solved by the numerical interpolation method. Experimental results of both hemisphere and complex surfaces show that the proposed method can reconstruct surfaces accurately.

Item Type: Article
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions: Faculty of Science and Health > Computer Science and Electronic Engineering, School of
Depositing User: Jim Jamieson
Date Deposited: 26 Feb 2016 20:58
Last Modified: 23 Jan 2019 00:18
URI: http://repository.essex.ac.uk/id/eprint/16131

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