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Why use focal length as scale factor for warps?

Hi folks!

I recently got my hands on the stitching_detailed.cpp and try to understand its details. Unfortunately some comments are missing for the, in my opinion, more mysterious details:

I get why we have to warp the images to a composition surface but why do we set the median focal length after bundle adjustment as scale factor for the warper?

Why are parts of the panorama differently scaled than the image used to create the panorama?

Any help is greatly appreciated!

Best regards