Am Do., 17. Sept. 2020 um 09:08 Uhr schrieb Vladimir Nikishkin
<xxxxxx@gmail.com>:
>
> I can only respond with a quote from the ImageMagick manual:
> "It is not recommended that you use more or less than 4 points per
> 'bezier' curve segment, to keep things simple."

But that's a limitation from ImageMagick (and possibly of the sample
implementation). I don't think it makes sense to add this limitation
in the specification itself.

Bézier curves of high degree are (at least mathematically) no
wizardry. They are a linear interpolation between two Bézier curves
one degree less. On the Wikipedia page on Bézier curves, there is a
nice picture ([1]) that shows how a quadratic curve is produced from
interpolation by linear ones.

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[1] https://en.wikipedia.org/wiki/B%C3%A9zier_curve#/media/File:Quadratic_Beziers_in_string_art.svg