Pinning a Line by Balls or Ovaloids in ℝ3
Identifieur interne : 003042 ( Main/Exploration ); précédent : 003041; suivant : 003043Pinning a Line by Balls or Ovaloids in ℝ3
Auteurs : Xavier Goaoc [France] ; Stefan König [Allemagne] ; Sylvain Petitjean [France]Source :
- Discrete & Computational Geometry [ 0179-5376 ] ; 2011-03-01.
English descriptors
Abstract
Abstract: We show that if a line ℓ is an isolated line transversal to a finite family $\mathcal{F}$ of (possibly intersecting) balls in ℝ3 and no two balls are externally tangent on ℓ, then there is a subfamily $\mathcal{G}\subseteq\mathcal{F}$ of size at most 12 such that ℓ is an isolated line transversal to $\mathcal{G}$. We generalize this result to families of semialgebraic ovaloids.
Url:
DOI: 10.1007/s00454-010-9297-5
Affiliations:
- Allemagne, France
- Bavière, District de Haute-Bavière
- Garching bei München
- Université technique de Munich
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