In Android, I have a Path object which I happen to know defines a closed path, and I need to figure out if a given point is contained within the path. What I was hoping for
I know I'm a bit late to the party, but I would solve this problem by thinking about it like determining whether or not a point is in a polygon.
http://en.wikipedia.org/wiki/Point_in_polygon
The math computes more slowly when you're looking at Bezier splines instead of line segments, but drawing a ray from the point still works.