Want to deal
with a bounded region instead of the entire plane:6.838, Computational Geometry; Fall 2001
Point Location
Sergi Elizalde & David Pritchard
Want to deal
with a bounded region instead of the entire plane:
- look at all vertices and determine xmin/max, ymin/max
- put a bounding rectangle around all of the points
- when queried, if query lies outside the box then q lies in the unbounded face and we are done; hereforth we will assume q lies inside the bounding box
Since we are
dealing with vertical lines, it will be easier to assume all x-coordinates of
all vertices and of the query point are distinct
We generalize
from a planar subdivision to an arbitrary collection of non-crossing segments