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Re: What to do wanting a 4th order Bézier?
From: |
Hans Åberg |
Subject: |
Re: What to do wanting a 4th order Bézier? |
Date: |
Mon, 19 Sep 2016 10:15:02 +0200 |
> On 18 Sep 2016, at 14:41, Simon Albrecht <address@hidden> wrote:
>
> On 18.09.2016 13:54, Andrew Bernard wrote:
>> What is it exactly that you are expecting a quartic to give you?
>
> Oh, I think you’re quite overestimating the amount of in-depth mathematical
> background I had – I just thought: ‘A 3rd order Bézier curve can have one
> turning point, but I need two turning points, so I’d need a 4th order
> Bézier’. Which I now see is wrong, after some experimenting with the
> interactive fields in that article you linked: it requires a 5th order Bézier
> for that, and then it already gets quite unhandy.
Curves of higher polynomial order did not catch on, because they are not
stable: small changes in the input variables can sometimes cause dramatic
effects in the output curve.
Re: What to do wanting a 4th order Bézier?, Andrew Bernard, 2016/09/18
[OT] Re: What to do wanting a 4th order Bézier?, Kieren MacMillan, 2016/09/18
Re: What to do wanting a 4th order Bézier?, Simon Albrecht, 2016/09/23