Direct kinematics of manipulators with hyper degrees of freedom and Frenet-Serret formula. Mochiyama, H., Shimemura, E., & Kobayashi, H. In Proceedings. 1998 IEEE International Conference on Robotics and Automation (Cat. No.98CH36146), volume 2, pages 1653–1658 vol.2, May, 1998.
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The kinematic structure of a manipulator with hyper degrees of freedom is discussed from a theoretical viewpoint. Conditions for the kinematic structure are derived from a geometrically natural requirement that its direct kinematics tends to Frenet-Serret formula as its number of degrees of freedom increases. It is shown that the manipulator has to have two-degree-of-freedom joints, each of which consists of a twist and a one-directional bend
@inproceedings{mochiyama_direct_1998,
	title = {Direct kinematics of manipulators with hyper degrees of freedom and {Frenet}-{Serret} formula},
	volume = {2},
	doi = {10.1109/ROBOT.1998.677392},
	abstract = {The kinematic structure of a manipulator with hyper degrees of freedom is discussed from a theoretical viewpoint. Conditions for the kinematic structure are derived from a geometrically natural requirement that its direct kinematics tends to Frenet-Serret formula as its number of degrees of freedom increases. It is shown that the manipulator has to have two-degree-of-freedom joints, each of which consists of a twist and a one-directional bend},
	booktitle = {Proceedings. 1998 {IEEE} {International} {Conference} on {Robotics} and {Automation} ({Cat}. {No}.98CH36146)},
	author = {Mochiyama, H. and Shimemura, E. and Kobayashi, H.},
	month = may,
	year = {1998},
	keywords = {Frenet-Serret formula, Hardware, Information science, Kinematics, Manipulators, Robots, computational geometry, convergence, direct kinematics, hyper degrees of freedom robots, manipulator kinematics, manipulators, one-directional bend, twist},
	pages = {1653--1658 vol.2}
}

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