CLOSED-FORM SOLUTION OF SPACE RESECTION USING UNIT QUATERNION

摘要

Determining exterior orientation parameters (EOPs) of image is an important task in photogrammetry, and various classical methods are in use. On consideration of some shortcomings in classical methods, a new algorithm based on quaternion is presented. The method uses unit quaternion to represent rotation. Based on the least square principle, the closed-form solution of unit quaternion representing relationship between object space and photo space is solved out first; then the rotation matrix is obtained, and angular elements are derived. Lastly coordinates of exposure station (perspective centre) is computed. The main advantages of the method are that initial values of EOPs need not be provided, and linearization for the collinearity equations is not involved in formula deduction, so iterative computing is avoided. At the same time, the method can directly deal with image with large oblique angle. The numerical experiments are done and results show the correctness and reliability of the method.