Visibility From Infinity: Difference between revisions
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(Created page with "{{DISPLAYTITLE:Visibility From Infinity (Geometric Visibility Problems)}} == Description == Given a set $S$ of axis-parallel line segments in the plane and one particular horizontal segments $s$, determine whether there is a point on $s$ that can be seen from infinity, that is, whether there exists an infinite ray starting at the point on $s$ that does not intersect any segment. == Related Problems == Related: Visibility Between Segments, Visible Triangle =...") |
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== Parameters == | == Parameters == | ||
n: number of axis-parallel line segments | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Revision as of 13:04, 15 February 2023
Description
Given a set $S$ of axis-parallel line segments in the plane and one particular horizontal segments $s$, determine whether there is a point on $s$ that can be seen from infinity, that is, whether there exists an infinite ray starting at the point on $s$ that does not intersect any segment.
Related Problems
Related: Visibility Between Segments, Visible Triangle
Parameters
n: number of axis-parallel line segments
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| GeomBase | if: to-time $N^{2-\epsilon}$ for some $\epsilon > {0}$ then: from-time: $N^{2-\epsilon'}$ for some $\epsilon' > {0}$ |
1995 | https://doi.org/10.1016/0925-7721(95)00022-2 | link |