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DCG
2007
81views more  DCG 2007»
13 years 4 months ago
Lines Tangent to Four Triangles in Three-Dimensional Space
Hervé Brönnimann, Olivier Devillers, S...
CCCG
2004
13 years 6 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
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