[chuck-users] spline envelopes

[Robert Poor]

You can create N-th order polynomial curves (including splines, of  
course) with N discrete additions.

F'rinstance,
	while (true) { k +=> a[0]; <<< a[0] >>>; }
... clearly generates a ramp, and:
	while (true) { k +=> a[1]; a[1] +=> a[0]; <<< a[0] >>>; }
... generates a parabola and:
	while (true) { k +=> a[2]; a[2] +=> a[1]; a[1] +=> a[0]; <<< a[0]  
 >>>; }
... generates a cubic.  Etc.

And it's equally clear that you can do all this at the UG level.  The  
part left as an exercise for the reader is computing the initial  
values of a[n].  (This is the kind of stuff that Tom Duff has  
hardwired in his neocortex -- I have to re-derive it each time.)

Best,

- Rob

On 11 Aug 2009, at 15:24, Bozelos Dimitris wrote:

> Hello,
>
> has anybody implemented in ChucK or elsewhere else envelopes with  
> the use of bezier or other spline curves? Linear is can be boring  
> sometimes! Any efficient algorithm? I was thinking of trying De  
> Casteljau algorithm but I would like to hear from anybody else that  
> has already done something similar.
>
> Cheers,
>
> Dimitris
>
> Χρησιμοποιείτε Yahoo!
> Βαρεθήκατε τα ενοχλητικά μηνύ ματα  
> (spam); Το Yahoo! Mail διαθέτει την καλύτερη  
> δυνατή προστασία κατά των  
> ενοχλητικών μηνυμάτων
> http://login.yahoo.com/config/mail?.intl=gr  
> _______________________________________________
> chuck-users mailing list
> chuck-users at lists.cs.princeton.edu
> https://lists.cs.princeton.edu/mailman/listinfo/chuck-users

-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://lists.cs.princeton.edu/pipermail/chuck-users/attachments/20090811/60e9d3f2/attachment.html>