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strategy to solve equation of a 3Dplane represented in a camera image

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clangray

Joined Nov 4, 2018
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I have a plane defined by a min of 3 points that make 2 parallel vectors, that, when processed with dot products etc. can yield a 3D equation describing that plane.
Problem is, in the computer, the 3 points are projections in a camera image plane, a distorted rectangle. I need someway to undistort the plane and apply the equations. Could setting up a rotational matrix "straighten" out the distortions and allow proper measurement? Is there a strategy I can pursue to solve this problem?

Here is a picture of the setup. The author captured it correctly but didn't say how the planar equation was obtained: https://nghiaho.com/?page_id=363

Thank you
 
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