Xiao Yong-Liang, Su Xianyu, Chen Wenjing, Liu Yuankun
Department of Opto-Electronics Science and Technology, Sichuan University, Chengdu, China.
Appl Opt. 2012 Feb 1;51(4):457-64. doi: 10.1364/AO.51.000457.
Three-dimensional (3D) shape measurement of an aspheric mirror with fringe reflection photogrammetry involves three steps: correspondence matching, triangulation, and bundle adjustment. Correspondence matching is realized by absolute phase tracking and triangulation is computed by the intersection of reflection and incidence rays. The main contribution in this paper is constraint bundle adjustment for carefully dealing with lens distortion in the process of ray intersection, as compared to the well-known grating reflection photogrammetry. Additionally, a free frame is proposed to alleviate troublesome system geometrical calibration, and constraint bundle adjustment is operated in the free frame to refine the 3D shape. Simulation and experiment demonstrate that constraint bundle adjustment can improve absolute measurement accuracy of aspheric mirrors.
采用条纹反射摄影测量法对非球面镜进行三维（3D）形状测量包括三个步骤：对应匹配、三角测量和光束平差。对应匹配通过绝对相位跟踪实现，三角测量通过反射光线与入射光线的交点计算得出。与著名的光栅反射摄影测量法相比，本文的主要贡献在于在光线相交过程中仔细处理镜头畸变的约束光束平差。此外，提出了一种自由框架以减轻繁琐的系统几何校准工作，并在自由框架中进行约束光束平差以优化3D形状。仿真和实验表明，约束光束平差可以提高非球面镜的绝对测量精度。
