Deriving an expression for an epipolar line - MathOverflow [closed] 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 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>