How do we know? We checked:
And for that a 360° panoramic calibration checker board was created.
Confused yet? Pay attention to the height of the squares. Still confused?
Unwrapping the picture with Polar to Cartesian transformation, we can
see that the squares aren't square. In fact they get less and less
square.
It turns out that the correct transformation would be from Log-Polar to
Cartesian coordinate system. And even then with a calibration parameter
for the lens, since the real world is not perfect and the log base != e.
So we get, what the camera sees.
What we want to see.
What math sees.