most recent 30 from http://mathoverflow.net 2013-05-23T13:59:47Z http://mathoverflow.net/feeds/question/60278 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/60278/deriving-an-expression-for-an-epipolar-line vivid-colours 2011-04-01T11:25:19Z 2011-04-01T11:25:19Z

<p>I would like to derive an expression for an <a href="http://en.wikipedia.org/wiki/Epipolar_geometry#Epipolar_line" rel="nofollow">Epipolar Line</a> that appears in a right camera (there are two cameras - a left a right one). These cameras are placed in a $(x,y,z)$ vector space. This is a past paper for my computer vision course.</p> <p>Left camera position = $[-10,0,0]$</p> <p>Right camera position = $[10,10,0]$</p> <p>Both of the cameras are facing the same direction of $[0,0,1]$</p> <p>Their plane of projection lies in the plane $z=10$</p> <p>An object has position $[x_{i},y_{i},z_{i}]$</p> <p>If I could find out how to derive an expression for this line then I'm sure I could derive similar expressions for different camera positions etc. It would be a great help if someone could work through this with me.</p> <p>Thanks in advance.</p>