期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 459, 期 2, 页码 1029-1039出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2017.11.020
关键词
Dual Euler-Rodrigues formula; Dual Lie groups; Dual Lie algebra; Point-line geometry; Screw motion; Dual quaternions
资金
- University of Ankara, Scientific Research Projects Office (BAP) [16H0430024]
This paper examines the Euler Rodrigues formula in dual 3-space D-3 by analyzing its variations such as vectorial form, exponential map, point-line theory and quaternions which have some intrinsic relations. Contrary to the Euclidean case, dual rotation in dual 3-space corresponds to a screw motion in Euclidean 3-space. This paper begins by explaining dual motion in terms of the given dual axis and angle. It will then go on to express dual Euler-Rodrigues formula with algebraic methods. Furthermore, an application of dual Euler-Rodrigues formula to point-line geometry is accomplished and point line displacement operator is obtained by dual Euler Rodrigues formula. Finally, dual Euler Rodrigues formula is presented with the help of dual Euler-Rodrigues parameters that is expressed as a dual quaternion. (C) 2017 Elsevier Inc. All rights reserved.
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