I am having many pair of 3d line segments. the case is, in non of the pair, one line segment with respect to other one is not parallel but nearly parallel withing (5-10 degree threshold).
if i take a one pair of line segments, then possibilities of 3d line segments can be shown as in the figure. for our purposes, we name one line (red one) as reference and other (black one) as extraction.
Now, my problem is, Can I find a common overlap line portion from each line segment as I am not sure how it would be. (I know, I can get this by projecting each end on the other line segment, but if I change the lines, then I get another project ends..i.e. I have 4 projected ends. so, there are not any common ends,,