Why does the order of the points matter when checking corresponding points with the fundamental matrix?

Asked Oct 24 '21 at 08:56

Active Oct 24 '21 at 09:35

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Why does the order of the points matter when calculating the correspondence between points for the fundamental matrix equation?

Here I don't understand why switching the points does not produce the same answer

My guess is that is has to do with the fact that normally you set the first camera to be the canonical camera [I 0] and that this is assumed for the image point x, but most references do not mention that the first camera P has to be [I 0].

edited Oct 24 '21 at 09:35

Bob

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asked Oct 24 '21 at 08:56

DeadPixel

imagine epipolar lines on your pictures. now imagine putting the lines from the _one_ view on the _other_ view instead. that wouldn't look right. – Christoph Rackwitz Oct 24 '21 at 11:22
put another way: transpose the whole left side. your second equation would contain F^T instead of just F. is F = F^T? – Christoph Rackwitz Oct 24 '21 at 13:17

Why does the order of the points matter when checking corresponding points with the fundamental matrix?

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