title: Matching sets of coordinates
body: <p>I have a set of points (500 points), each has its own coordinate. These points are represented by two different 2-D coordinate systems (e.g., (X, Y) and (x, y)). I have a list of 500 (X,Y)-type of coordinates and 500 (x,y)-type of coordinates. My goal is to match them pairwise. There should be 1-1 mapping between the two sets. I can also convert a distance from one coordinate system to the other. </p>
  
  <p>I am thinking about using pairwise distances as a means to match. Please let me know if there is a simple way to do that. Thank you.</p>