Ah, I couldn't see the forest for the trees. I wasn't looking at the overall shape, just the lines within it (which didn't look like any particular letter, but it could have been a bunch of Ws on their sides).

I do see the issue, now, as it is clear that just examining the points won't suffice. My first thought was to ask whether you had information about the lines, but that's actually quite irrelevant. Where I was going with that wouldn't work for many letters such as f and t.

The only way that I see that looks promising is to come up with a form of pattern recognition to figure out which letter it is, and have a set of rules for each letter (though they would often be the same). This might work, assuming the font is always the same. You might look for vertical runs and horizontal runs. Since letters tend to be made up of lots of vertical runs, that might give you a series of line segments, and the relationship between them may be sufficient to identify the letter, which may be sufficient to let you know how to connect the other dots.

Just a thought, though.