Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONFIGURATION SPACES OF SPATIAL LINKAGES: TAKING COLLISIONS INTO ACCOUNT

  • Blanc, David (Department of Mathematics University of Haifa) ;
  • Shvalb, Nir (Department of Industrial Engineering Department of Mechanical Engineering Ariel University)
  • Received : 2016.10.19
  • Accepted : 2017.05.23
  • Published : 2017.11.30
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Abstract

We construct a completed version $\hat{\varrho}({\Gamma})$ of the configuration space of a linkage ${\Gamma}$ in $\mathbb{R}^3$, which takes into account the ways one link can touch another. We also describe a simplified version $\underline{\varrho}({\Gamma})$ which is a blow-up of the space of immersions of ${\Gamma}$ in $\mathbb{R}^3$. A number of simple detailed examples are given.

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References

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