Abstract:The traditional three-dimensional space coordinate transformation model is restricted to solving the coordinate conversion parameters of small angles. This paper proposes a model that is suitable for the coordinate conversion of large angles by using dual quaternion that can simultaneously describe the rotation matrix and the translation vector. The model solves the problem of the traditional algorithm, and can directly calculate the coordinate transformation parameters without initial iteration value. Finally, a simulation experiment is carried out by the simulation data. The numerical example shows that the method does not need linearization and its calculation is simple and convenient. The correctness and effectiveness of it is also verified by the simulation results.
MA Taofeng,LU Xiaoping,LU Fengnian. A Direct Solution of Three-Dimensional Space Coordinate Transformation Based on Dual Quaternion[J]. jgg, 2017, 37(12): 1276-1280.