Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

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?

share|cite|improve this question
3  
This won't be easy, since it is possible for line A to be close to both lines B and C, while lines B and C are far from each other --- that can't happen with points. – Gerry Myerson Oct 6 '12 at 2:40
    
Maybe you could try transform this set in a manifold. For example, the set of all lines in $\mathbb{R}^{2}$ is a mobius band. – Tomás Oct 6 '12 at 2:52

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.