Aligning two curves...challenging problem

hello;
i have two sets of points, making 2 curves,
i need to measure the distance between them (similarity measurement) given that they differ in length and height,
attached an example....the two curves looks almost the same if u shift one to the next...how can i align them and measure the similarity!

thnx anyway

well it almost looks like the other one is wider than the other, do you think scaling it would help? for similarity you could take the standard deviation