Re^3: Abstract image registration or feature detection

[LanX]

> the vectors between any two known_i and target_j point

I'm confused. Did you answer if you know which target point belongs to which source point or if you need to determine those "vectors"?

> Think of a reference version of a poster in an image authoring software vs. the same poster photographed with a potato camera, not necessarily from a head-on orientation.

Please take this for a start Camera Matrix

It's a 3x4 matrix I remembered 4x4, so there might be more.

[kikuchiyo]

It seems that we're not on the same page. A picture is worth a thousand words: https://imgur.com/KxH62Sa

Each labeled red point from the reference image corresponds to the same labeled red point on the distorted image. And I know the coordinates for both. Similarly, one blue point on the reference image corresponds to one blue point on the distorted image, but I only know their coordinates on the reference, and I want to find them on the other.

[LanX]

Thanks the image is much clearer.

As I said, solve the linear equations° for the red pairs to determine the projection matrix. (well depending one the number of known pairs)

Once you have the matrix you can pair the blue ones too.

update

°) Linear_equation_system#Matrix_equation