A Solution for Space Resection Based on Angle-Axis Representation

Abstract

Determining exterior orientation elements of image is an important task in photogrammetry. Considering some shortcomings in various classical methods, a new algorithm based on angle-axis to represent rotation was presented. Based on the least square principle, the closed-form solution of angle-axis and coordinates of perspective centre were solved out first; then the rotation matrix and angular elements were derived. Lastly the six exterior orientation elements were obtained. Compared with the traditional space resection based on the classical collinearity equation (Euler angles) method, angle-axis representation method of space resection can be removed from a large number of cumbersome trigonometric functions, simple equations structure, easy to program implementation. Simulation data test described space resection solution based on angle-axis is fast, effective and stable.