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DCG
2008
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13 years 11 months ago
Helly-Type Theorems for Line Transversals to Disjoint Unit Balls
We prove Helly-type theorems for line transversals to disjoint unit balls in Rd . In particular, we show that a family of n 2d disjoint unit balls in Rd has a line transversal if,...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
CCCG
2006
14 years 9 days ago
Predicates for Line Transversals in 3D
In this paper we study various predicates concerning line transversals to lines and segments in 3D. We compute the degrees of standard methods of evaluating these predicates. The ...
Hazel Everett, Sylvain Lazard, William J. Lenhart,...