Pinning a Line by Balls or Ovaloids in ℝ3
نویسندگان
چکیده
We show that if a line ` is an isolated line transversal to a finite familyF of (possibly intersecting) balls in R and no two balls are externally tangent on ` then there is a subfamily G ⊆ F of size at most 12 such that ` is an isolated line transversal to G. We generalize this result to families of semi-algebraic ovaloids.
منابع مشابه
Pinning a Line by Balls or Ovaloids in R
We show that if a line ` is an isolated line transversal to a finite familyF of (possibly intersecting) balls inR and no two balls are externally tangent on ` then there is a subset G ⊆ F of size at most 12 such that ` is an isolated line transversal to G. We generalize this result to families of semi-algebraic ovaloids.
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ورودعنوان ژورنال:
- Discrete & Computational Geometry
دوره 45 شماره
صفحات -
تاریخ انتشار 2011