“Introduction of b-splines to trajectory planning for robot manipulators”

Authors: Per E. Koch and Kesheng Wang,
Affiliation: NTNU and SINTEF
Reference: 1988, Vol 9, No 2, pp. 69-80.

Keywords: Robotics, trajectory planning, B-splines

Abstract: This paper describes how B-splines can be used to construct joint trajectories for robot manipulators. The motion is specified by a sequence of Cartesian knots, i.e., positions and orientations of the end effector of a robot manipulator. For a six joint robot manipulator, these Cartesian knots are transformed into six sets of joint variables, with each set corresponding to a joint. Splines, represented as linear combinations of B-splines, are used to fit the sequence of joint variables for each of the six joints. A computationally very simple, recurrence formula is used to generate the 8-splines. This approach is used for the first time to establish the mathematical model of trajectory generation for robot manipulators, and offers flexibility, computational efficiency, and a compact representation.

PDF PDF (1059 Kb)        DOI: 10.4173/mic.1988.2.2

DOI forward links to this article:
[1] Per Erik Koch (1992), doi:10.1016/B978-0-12-460510-7.50030-6
[2] Ammar Alzaydi (2018), doi:10.1117/1.OE.57.12.120901
[3] Juhyun Kim, Maolin Jin, Sang Hyun Park, Seong Youb Chung and Myun Joong Hwang (2020), doi:10.3390/electronics9091424
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BibTeX:
@article{MIC-1988-2-2,
  title={{Introduction of b-splines to trajectory planning for robot manipulators}},
  author={Koch, Per E. and Wang, Kesheng},
  journal={Modeling, Identification and Control},
  volume={9},
  number={2},
  pages={69--80},
  year={1988},
  doi={10.4173/mic.1988.2.2},
  publisher={Norwegian Society of Automatic Control}
};