1

How to deduce l' = Ex using the epipolar constraint?

Where l' is the epipolar line, E is the essential matrix and x is the projected point in the image plane.

I understood that according to the epipolar constraint (all 3 vectors lie on the same plane) we can write:

x.[Tx]R x' = 0

E = [Tx]R

x.E x' = 0

but I didn't find yet in the literature how to prove that Ex' is equal to the epipolar line equation in order to deduce following:

l' = E x.

Thank you in advance.

Hangon
  • 2,449
  • 7
  • 23
  • 31

0 Answers0