I'm looking for a way to convert a set of lines in R^3 into points in R^n so that distance between any pair of points points is a good approximation of the distance between corresponding pair of lines. Can anyone see a practical way of doing this?
Euclidian embedding of lines
2
$\begingroup$
euclidean-geometry
-
0Maybe you could try transform this set in a manifold. For example, the set of all lines in $\mathbb{R}^{2}$ is a mobius band. – 2012-10-06