Hallöchen!

Gert van der Plas - Schrama writes:

> [...]
>
> Lensmakers try to make it easily corrected. As some lenses have
> mustache shape distortion no doubt some require more than linear
> compensation particular wide angle and fish eyes.

Well, you always have to make compromises.  The most accurate
solution is a distortion field, which defines the lens error on
dozens, maybe hundreds of grid points.  Somewhere between this and
the linear sliders is the best compromise.  It may be a 4th order
polymonial, but the linear fit uses to be just *that* good that I
doubt that the best compromise should be so far away from linear.

Higher orders with more coefficients always fit your data better.
But they are also more unstable.

> [...]
>
> I also think my argument to allow non-radial factors for special
> lenses is still valid.

The by far most important non-radial error component is a
decentering, which needs to be tackled by a shift of the coordinate
system.  I needed this shift once in 100+ lenses that I measured so
far.  Everything beyond that is difficult to measure with the means
that are available to us, I think.

Tschö,
Torsten.

-- 
Torsten Bronger    Jabber ID: torsten.bron...@jabber.rwth-aachen.de
                                  or http://bronger-jmp.appspot.com


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