On Covering Points with Minimum Turns

@inproceedings{Jiang2012OnCP,
  title={On Covering Points with Minimum Turns},
  author={Minghui Jiang},
  booktitle={Int. J. Comput. Geom. Appl.},
  year={2012}
}
  • Minghui Jiang
  • Published in Int. J. Comput. Geom. Appl. 14 May 2012
  • Computer Science, Mathematics
We study the problem of finding a polygonal chain of line segments to cover a set of points in ℝd, d≥2, with the goal of minimizing the number of links or turns in the chain. A chain of line segments that covers all points in the given set is called a covering tour if the chain is closed, and is called a covering path if the chain is open. A covering tour or a covering path is rectilinear if all segments in the chain are axis-parallel. We prove that the two problems Minimum-Link Rectilinear… 

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References

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TLDR
It is shown that computing a noncrossing covering path for n points in the plane requires Ω(nlogn) time in the worst case, and it is proved that (1−ε)n straight line segments suffice for a small constant ε>0.

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TLDR
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TLDR
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TLDR
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TLDR
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