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- W1955447130 abstract "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. Copyright © 2013 John Wiley & Sons, Ltd." @default.
- W1955447130 created "2016-06-24" @default.
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- W1955447130 date "2013-06-28" @default.
- W1955447130 modified "2023-10-16" @default.
- W1955447130 title "Euler angles: conversion of arbitrary rotation sequences to specific rotation sequence" @default.
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- W1955447130 doi "https://doi.org/10.1002/cav.1529" @default.
- W1955447130 hasPublicationYear "2013" @default.
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