I have 2 sets of 2D points, and each of the points P(x,y) satisfies these conditions

- $x \geq 0$
- $y \geq 0$
- $x + y \leq 1$

I am looking for a way to find out the similarity of the 2 sets.

In the "distance" Wikipedia page, the part "Distances between sets.." covers distances between sets of 1D points, such as Hausdorff distance. I would like to know if there are other distances between sets of 2D points.

Any comments are welcome!

Thanks Patrick

similarity of the 2 sets? Is there any other property besides 1.2.3, that you left implicit, e.g. the sets are finite, closed...? – Pietro Majer Oct 11 '10 at 7:53