How do you construct self-curving splines that don't close the figure?

I couldn't quite describe my situation properly but what I have is :

by using vector-valued splines and what I want to happen is that I want the spline to simply end - without connecting the last points. It should spline bit by bit then stop before closing the last two points together (whichever points they may be; in this case it shouldn't connect (105,35) to (95,85) which would erase the bottom-left hand section).

Self-curving splines in this case would be splines that "overlap" or go back in the previous direction; data that may look like the letter "C","O", "S", etc.

I looked into bezier splines and B-splines however the wording was very difficult to understand let alone implement.

I've attached my data to the post and any help would be great.