Hi bugbear,

As you notice, the mathematical lens model, despite its shortcoming, does a 
halfway decent job at about pixel or half pixel level. In a finished panoramic, 
you visually notice when images are misaligned at the seam line.

Hugin's sidekick enblend does a really good job in sorting out seam problems.

Barrel correction is mathematically ok. The extra freedom parameters a and c 
give you work if you spread your CPs out, or in problematic cases you position 
them nearby the seam line.

Issues do appear when you want to place your seam line away from the 
geometrical optimum placement. To avoid a car being cut in half for instance.

The limitations also make it necessary that hugin / panotools have to provide 
different lens models, as rectangular and fisheye lenses cannot be unified. 
With two more odd polynomials they could. It is amazing how well a Taylor 
series with four odd terms can approximate tan()...

I think I should do a proper write-up.
But not tonight.

And then there are real world problems like parallax errors, image noise and 
oversharpened source images. For the latter cases, when CPs become dodgy, hugin 
is good enough. It is in good cases that its limitations get apparent.

Best regards
Klaus

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