How to determine path from noisy X, Y data

Question

I have an unsorted list of noisy X, Y points. They do, however, form a path through the world. I would like an algorithm to draw an approximation of this data using line segment

Answer 1

It seems that you know the 'golden curve' from your answers to questions, I would suggest finding the Bezier curve of the 'golden curve' as suggested by @jamesh and drawing that.