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COMPGEOM
2004
ACM
13 years 10 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
COMPGEOM
2008
ACM
13 years 6 months ago
Predicates for line transversals to lines and line segments in three-dimensional space
When an observer is in a 3D scene, a topological change in the view arises when the line of sight is tangent to four objects. If we consider polyhedral scenes, the relevant lines ...
Olivier Devillers, Marc Glisse, Sylvain Lazard