Research on Methods of Coordinate Rotation and Interpolation Based on Quaternion

doi:10.3969/j.issn.1006-2475.2012.02.013

Computer and Modernization ›› 2012, Vol. 198 ›› Issue (2): 44-47.doi: 10.3969/j.issn.1006-2475.2012.02.013

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Research on Methods of Coordinate Rotation and Interpolation Based on Quaternion

LIU Ai-dong¹, HUANG Bin², LU Zhong-wu²

1.Department of Ordnance Science & Technology, Naval Aeronautical Engineering Institute, Yantai 264001, China;2.Graduate Management Unit, Naval Aeronautical Engineering Institute, Yantai 264001, China

Received:2011-09-28 Revised:1900-01-01 Online:2012-02-24 Published:2012-02-24

Abstract

Abstract: This paper first introduces the basic mathematical properties and calculation rules of quaternion, then describes a method of transfer vector among all the methods of coordinate rotation, which is based on quaternion, and three methods of interpolation of it, and compares with the Euler angle. The paper also discusses the different effects of these algorithms to the coordinate conversion, and the differences in the time complexity for computer to finish them, and draws conclusions by simulation.

Key words: quaternion, coordinate rotation, interpolation, time complexity

CLC Number:

TP391.9

LIU Ai-dong;HUANG Bin;LU Zhong-wu. Research on Methods of Coordinate Rotation and Interpolation Based on Quaternion[J]. Computer and Modernization, 2012, 198(2): 44-47.

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Research on Methods of Coordinate Rotation and Interpolation Based on Quaternion

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