I am attempting to take GPS data and track it on a map and see if it follows a given path. I have the path as a set of points and the GPS data streams in as a similar set of points. I am attempting to track the progression of the current position across the path and I am wondering if there are any well known algorithms for this. I have come up with my own that works ok but it is a complex enough problem that I would like to minimize the amount of re-inventing of the wheel that I do.
What approach or algorithm would you recommend taking for this problem?