大地测量与地球动力学2017，Vol.37Issue(12)：1276-1280,5.DOI:10.14075/j.jgg.2017.12.015
基于对偶四元数的三维空间坐标转换直接解法
A Direct Solution of Three-Dimensional Space Coordinate Transformation Based on Dual Quaternion
摘要
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.关键词
坐标转换/七参数/对偶四元数/直接解法Key words
coordinate transformation/seven parameters/dual quaternion/direct solution分类
天文与地球科学引用本文复制引用
马涛峰,卢小平,禄丰年..基于对偶四元数的三维空间坐标转换直接解法[J].大地测量与地球动力学,2017,37(12):1276-1280,5.基金项目
国家重点研发计划(2016YFC0803103) （2016YFC0803103）
河南省高校科技创新团队支持计划(14IRTSTHN026).National Key Research and Development Program of China,No.2016YFC0803103 （14IRTSTHN026）
Fund of Science and Technology Innovation Team in Colleges and Universities of Henan Province,No.14IRTSTHN026. （）
