Transversals to Line Segments in R3 - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2003

Transversals to Line Segments in R3

Abstract

We completely describe the structure of the connected components of transversals to a collection of $n$ line segments in $\mathbb{R}^3$. We show that $n\geq 3$ arbitrary line segments in $\mathbb{R}^3$ admit $0, 1, \ldots, n$ or infinitely many line transversals. In the latter case, the transversals form up to $n$ connected components.
Fichier principal
Vignette du fichier
A03-R-082.pdf (159.13 Ko) Télécharger le fichier

Dates and versions

inria-00099479 , version 1 (15-12-2009)

Identifiers

  • HAL Id : inria-00099479 , version 1

Cite

Hervé Bronnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides. Transversals to Line Segments in R3. 15th Canadian Conference on Computational Geometry - CCCG'2003, 2003, Halifax, Canada, 4 p. ⟨inria-00099479⟩
95 View
27423 Download

Share

Gmail Facebook Twitter LinkedIn More