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On Ray Shooting for Triangles in 3-Space and Related Problems

On Ray Shooting for Triangles in 3-Space and Related Problems

We consider several intersection searching problems that involve lines in ${\mathbb R}^3$ and present improved algorithms for solving them. The problems include (i) ray shooting amid triangles in ${\mathbb R}^3$, (ii) reporting intersections between query lines (segments, or rays) and input triangles in ${\mathbb R}^3$, as well as approximately counting …