Automated generation of Kempe linkage and its complexity

@article{Gao1999AutomatedGO,
  title={Automated generation of Kempe linkage and its complexity},
  author={Xiao-Shan Gao and Changcai Zhu},
  journal={Journal of Computer Science and Technology},
  year={1999},
  volume={14},
  pages={460-467}
}
It is a famous result of Kempe that a linkage can be designed to generate any given plane algebraic curve. In this paper, Kempe’s, result is improved to give a precise algorithm for generating Kempe linkage. We proved that for an algebraic plane curve of degreen Kempe linkage uses at mostO(n 4) links. Efforts to implement a program which may generate Kempe linkage and simulation of the generation process of the plane curves are presented in the paper. 

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