Three-Dimensional Coordinate Transformation Adapted to Arbitrary Rotation Angles Based on Unit Quaternion
Abstract In this paper, to solve the parameter of the three-dimensional spatial coordinate transformation model, quaternion is introduced to construct a rotation matrix. This paper proves that the coordinate transformation rotation matrix is equivalent to the orthogonal transformation of quaternion. Using unit quaternion theory derivates a direct algorithm for solving spatial coordinate transformations. A simulation test using analogue data and numerical examples show that the method is feasible and simple, does need not linearization, and can adapt to arbitrary rotation angle rotation transformations.
Cite this article:
LI Zhiwei,LI Kezhao,ZHAO Leijie et al. Three-Dimensional Coordinate Transformation Adapted to Arbitrary Rotation Angles Based on Unit Quaternion
[J]. jgg, 2017, 37(1): 81-85.
LI Zhiwei,LI Kezhao,ZHAO Leijie et al. Three-Dimensional Coordinate Transformation Adapted to Arbitrary Rotation Angles Based on Unit Quaternion
[J]. jgg, 2017, 37(1): 81-85.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2017/V37/I1/81
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