Linear perspective shape-from-shading method with two images

作     者：Lei Yang Ning Zhang Yanyun Ren Huosheng Hu 

作者机构：Shanghai Key Laboratory of Power Station Automation Technology School of Mechatronics Engineering and AutomationShanghai University School of Computer Science and Electrical Engineering University of Essex 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术(英文版))

年 卷 期：2015年第26卷第5期

页      面：1080-1087页

核心收录：

学科分类：0808[工学-电气工程] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(61005015) the Third National Post-Doctoral Special Foundation of China(201003280) 

主　　题：shape-from-shading(SFS) perspective projection semi-Lagrangian algorithm numerical interpolation method 

摘      要：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.