Suppose we're
in an airplane, high over Europe. We have a map:6.838, Computational Geometry; Fall 2001
Point Location
Sergi Elizalde & David Pritchard
Suppose we're
in an airplane, high over Europe. We have a map:
In addition,
we have a GPS to tell us our latitude/longitude.
Want an algorithm
to determine which region we're in/over.
We model (approximate)
the map with a planar subdivision, and this becomes the point location
problem:
Given a planar subdivision and a query point, determine which face of the planar subdivision that point lies in
Other applications
of this algorithm include matching weather/temperature maps to location, motion
planning &c