Re: Dependencies in Lilypond

[Mike Solomon]

Hey Carl,
    Your bezier curve suite is wonderful - I need the solver for an entirely
different issue in my waveforms project, which is itching to be thrown on
Reitveld by someone who is more savvy than I!  Takers?

~Mike


On 6/8/10 5:59 PM, "Carl Sorensen" <address@hidden> wrote:

> \On 6/8/10 7:46 AM, "Jan Nieuwenhuizen" <address@hidden> wrote:
> 
>> Op dinsdag 08-06-2010 om 12:55 uur [tijdzone +0200], schreef Mike
>> Solomon:
>>> 2)  If I can't, do you know of a functional reduce-row-echelon c++ or c file
>>> that I can freely copy and paste?  All of the one's I've found are buggy for
>>> certain matrices, but gsl gets it right every time.
>> 
>> I don't but you may want to have a look at boost, IWBN to use more of
>> boost, eg boost::filesystem and such.
> 
> Mike,
> 
> If you just need a row-reduced-echelon conversion for fitting bezier curves
> through a series of points, don't go that way!  It works, but it's not even
> close to computationally efficient.
> 
> I've attached a chapter of notes provided by Tom Sederberg at BYU, a world
> expert on splines.  There's a trivially simple way to get a 3rd order bezier
> to go through 4 control points, through the use of Lagrange Interpolation.
> The Lagrange Polynomials that are used are independent of the control
> points. See Section 6.2 of the attached chapter.
> 
> HTH,
> 
> Carl
> 
> P.S. If you have more stuff you want to do with Beziers, give me a shout.
> I've taken Dr. Sederberg's class, so I'm somewhat aware of clever tricks
> with splines.  That's where my bezier stuff came from earlier.
> 
>