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.

In reply to Re^4: Abstract image registration or feature detection by kikuchiyo
in thread Abstract image registration or feature detection [UPDATED w examples] by kikuchiyo

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