Euler angles: Conversion of arbitrary rotation sequences to specific rotation sequence

Perumal, Logah (2014) Euler angles: Conversion of arbitrary rotation sequences to specific rotation sequence. Computer Animation and Virtual Worlds, 25 (5-6). pp. 521-529. ISSN 1546-427X

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/cav.152...

Abstract

Euler angles have been used to describe the orientation of objects in two-dimensional and three-dimensional spaces since its formulation by Leonhard Euler. Many applications intended to represent the rotation of a body have been developed on the basis of Euler angles. Two-dimensional rotations are combined in sequence to represent three-dimensional rotations. Because there are three axes in a three-dimensional Euclidean space (X, Y and Z), 12 rotation sequences in three dimensions are possible: XYZ, XZY, YXZ, YZX, ZXY, ZYX, XYX, ZYZ, ZXZ, YXY, XZX and YZY. Each rotation sequence yields different results, and different applications implement a different rotation sequence. Thus, conversion between different rotation sequences becomes essential to make applications developed in different rotation sequences compatible with each other. In this paper, a new method is introduced to convert arbitrary rotation sequences to a specific rotation sequence of choice. A sample program is also developed in a MATLAB-Simulink environment to demonstrate the use of the new method in converting an arbitrary Euler rotation sequence to the specific Euler rotation sequence of XYZ. A six-degrees-of-freedom animation block is used in the program to aid users to graphically see the rotation of a body in three-dimensional space.

Item Type: Article
Subjects: T Technology > T Technology (General)
T Technology > TA Engineering (General). Civil engineering (General)
Divisions: Faculty of Engineering and Technology (FET)
Depositing User: Ms Nurul Iqtiani Ahmad
Date Deposited: 16 Dec 2014 04:44
Last Modified: 16 Dec 2014 04:44
URI: http://shdl.mmu.edu.my/id/eprint/5836

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