Re: What to do wanting a 4th order Bézier?

[Andrew Bernard]

Hello Simon,

Others have of course already replied, but when I look at your attached sample 
I only see a slightly curved slur. What makes you say you want a quartic bezier 
curve? I can’t quite see it.

Are you sure that’s what you want in any case? Quickly scanning through some of 
the maths of bezier curves and splines, it seems that people are pretty much in 
agreement that curves higher than cubic are problematical in many ways, and 
that the way to deal with non cubic representable curves is to piecewise 
approximate them with cubic beziers. This is from the point of view of maths, 
and all the answers here give the practical way of doing that in lilypond.

What is it exactly that you are expecting a quartic to give you?

Just because this is so well written and one of the best elementary expositions 
of Bezier curve maths I have come across, here’s a useful link:

http://pomax.github.io/bezierinfo/


Andrew





On 18/09/2016, 4:27 AM, "lilypond-user on behalf of Simon Albrecht" 
<address@hidden on behalf of address@hidden> wrote:

    Hello folks,
    
    I’m attaching an excerpt from my current project, where I’d actually 
    really need a 4th order Bézier slur – but that’s impossible with Lily 
    now. Unfortunately I also lack an idea what else to do in this situation 
    – I’d like to avoid an extra staff…
    Any ideas?
    
    Best, Simon
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