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I have a problem in a computer vision application that requires me to find an affine transformation matrix, A.

What I've got are four corners of a quadrilateral, in 2D coordinates on the image plane. These are the projections of the 3D corners of the real quadrilateral onto the image plane.

What I need to find is the 3D affine transformation matrix, A, which transforms the corners of a unit square into the given corners. If I can easily determine if such a transform does not exist, that information would also be useful.

Methods using homogeneous coordinates are fine, of course.

Anyone have any ideas?

- Warren

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# Finding an affine transformation matrix

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