Abstract

The theodolite is an important optical measurement instrument in application. Its global calibration, including position and orientation, is a prerequisite for measurement. Most global calibration methods require the theodolite to be leveled precisely, which is time-consuming and susceptible to error. We propose a global calibration method without leveling: it solves position results using the angular distance of control points by nonlinear optimization and then computes orientation parameters (rotation matrix) linearly based on position results. Furthermore, global calibration of multiple theodolites is also introduced. In addition, we introduced a method that can compute the dip direction and tilt angle by decomposing the rotation matrix. We evaluate the calibration algorithms on both computer simulation and real data experiments, demonstrating the effectiveness of the techniques.

© 2016 Optical Society of America

Angular distance constraints calibration for outdoor zoom camera

Xuehan Zheng, Zhenzhong Wei, and Guangjun Zhang
Opt. Express 24(21) 23898-23910 (2016)

Dynamic calibration method of the laser beam for a non-orthogonal shaft laser theodolite measurement system

Fengjin Miao, Bin Wu, Congcong Peng, Gaoju Ma, and Ting Xue
Appl. Opt. 58(33) 9020-9026 (2019)

Single-view calibration of a catadioptric camera based on a theodolite model

Yuxuan Wang, Yaowen Lv, Xiping Xu, Xuanrui Gong, Ziwen Yu, and Jiaxing Geng
Appl. Opt. 61(9) 2256-2266 (2022)

Two-step calibration method of the extrinsic parameters with high accuracy for a bistatic non-orthogonal shafting laser theodolite system

Zefeng Sun, Jiehu Kang, Zhen Zhang, Luyuan Feng, and And Bin Wu
Opt. Express 31(2) 2120-2134 (2023)

Improved system calibration for specular surface measurement by using reflections from a plane mirror

Tian Zhou, Kun Chen, Haoyun Wei, and Yan Li
Appl. Opt. 55(25) 7018-7028 (2016)