Title :
A Quaternion-Based Solution of Non-Linear 3D Coordinate Transformation Parameters
Author :
Yi, Qinglin ; Zeng, Huaien ; Wu, Yue ; Huang, Shengxiang
Author_Institution :
Key Lab. of Geo-Hazards on TGRA, China Three Gorges Univ., Yichang, China
Abstract :
To solve the problem that traditional solution of coordinate transformation parameters based on rotation angles depends strongly on initial value of parameter, the paper adopts quaternion to represent 3D rotation matrix, then puts forward a quaternion-based solution of non-linear 3D coordinate transformation parameters. The case study shows that the solution has a weak dependence on the initial value of parameter and satisfactory result with fast speed, and is suitable for coordinate transformation of any rotation angle.
Keywords :
initial value problems; number theory; parameter estimation; 3D rotation matrix; coordinate transformation parameter; initial value parameter; quaternion; Educational technology; Geodesy; Iterative methods; Laser modes; Least squares methods; Mathematics; Newton method; Quaternions; Recursive estimation; Transportation;
Conference_Titel :
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location :
Wuhan
Print_ISBN :
978-1-4244-4994-1
DOI :
10.1109/ICIECS.2009.5363641
