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How to generate synthetic views of a plan


I have a textured planar object and I would like to generate synthetic views of it from different angles.

I have a picture taken from the middle front of the plan, and a three euler angles describing the angle of the synthetic view to generate.

So, I'm looking for a homography describing the transformation.

Now, I use a rodrigues transform to get a rotation matrix from the three angles. The two first columns of the rotation matrix are the first columns of the homography matrix. But I don't know how to compute the translation part.

Any idea how to compute the translation part ? Any idea of another way to do this ? I know there is another way with the aspect ration and four points but I can't understand how it works.

Best regards,