I have a set of points in 3d space which I'd like to fit a line through. The points are pretty tight, but there are obvious branches, as illustrated crudely below. Essentially, I want to describe the "path" implied by this data using one/several equations*
*I should add- it would also work to find a set of coordinates describing the line rather than fitting an equation.
With the black points representing my data (simplified to 2D), the red line is what I'm after