DocumentCode
2822173
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
fYear
2009
fDate
19-20 Dec. 2009
Firstpage
1
Lastpage
4
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-4994-1
Type
conf
DOI
10.1109/ICIECS.2009.5363641
Filename
5363641
Link To Document