ROTATION MINIMIZING SPHERICAL MOTIONS AND HELICES-Reference-Cited by-同舟云学术

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ROTATION MINIMIZING SPHERICAL MOTIONS AND HELICES

Published:2023-03-30 Issue:1 Volume:23 Page:137-148
ISSN:2068-3049
Container-title:Journal of Science and Arts
language:en
Short-container-title:J. Sci. Arts

Author:

AKSAR MURAT¹,YAYLI YUSUF¹,KILIÇOĞLU ŞEYDA²

Affiliation:

1. Ankara University, Mathematics, 06100 Ankara, Turkey.

2. Baskent University, Mathematics, 06790 Ankara, Turkey.

Abstract

In this study we give the structure of the motion RMM with the spherical curve orbit by using rotation minimizing frames (RMF). Further, quaternionic helices and their characterizations of being CCR curve are given with the help of unit quaternions which are related spherical frame motion.

Publisher

Valahia University of Targoviste - Journal of Science and Arts

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference8 articles.

1. Jüttler, B., Rotation Minimizing Spherical Motions. In Lenarčič, J., Husty, M. L. (Eds.), Advances in Robot Kinematics: Analysis and Control. Springer, Dordrecht, pp. 413-422, 1998

2. Tas, F., Ilarslan, K., International Journal of Geometric Methods in Modern Physics, 16(6), 1950093, 2019.

3. Marsh, D., Applied Geometry for Computer Graphics and CAD, Springer, Berlin, Germany, 2006.

4. Monterde, J., Curves with constant curvature ratios, arXiv preprint: https://arxiv.org/abs/math/0412323v1, 2004.

5. Yoon, D. W., Honam Mathematical Journal, 34(3), 381, 2012.

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