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Questions about algorithmic solutions of geometric problems, or other algorithms making usage of geometry.
2
votes
Accepted
Point Location Problem in Polygon in Repetitive Mode for a Simple Polygon
First question:
By (my interpretation of the) definition, a "central point" exists if and only if the polygon is star-shaped; this condition can be tested in $Θ(n)$ time. So the only thing you can d …
16
votes
Accepted
How do I test if a polygon is monotone with respect to an arbitrary line?
It is possible.
Consider you polygon and consider the "concave" vertices. They define exactly which lines will intersect the polygon more than twice. In the following figure I marked the intervals (i …
5
votes
Accepted
Connection between castability and convexity
This is a proper answer but feel free to correct me I think I did not get the right definitions. This is why I begin with simple facts that should be checked first.
I suppose your are talking about $ …