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Article #635

Re: tracing a bezier curve

#635
From: J. G. Gregory
Date: Sun, 12 Apr 1992 02:14
13 lines
947 bytes
In article <1992Apr7.203952.300@agog.com> greg@agog.com (Greg Cockroft) writes:
>
>The parametric equation is 
>	x = x0*(1-t)^3 + x1*3*t*(1-t)^2 + x2*3*t^2*(1-t) + x3*t^3
>
Yes, but he wanted the y = f(x) implicit equation.  I recommend the book,  
"Curves and Surfaces for Computer Aided Geometric Design" by Gerald Farin.  It  
includes a section on just what the original poster wanted.  The "killer B's"  
book (Bartels, Beatty, Barsky) is too full of the "blending function" nonsense.
The Farin book gives a much more intuitive approach, better suited to non-math  
types.

--J Gregory
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Message-ID: <1992Apr12.021406.2513@proforma.com>
Path: arc1-ca.pugleaf.net!sparky!uunet!proforma!jgg
References: <1992Apr7.203952.300@agog.com>

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Newsgroups: comp.sys.next.programmer
Path: arc1-ca.pugleaf.net!sparky!uunet!proforma!jgg
From: jgg@proforma.com (J. G. Gregory)
Subject: Re: tracing a bezier curve
Message-ID: <1992Apr12.021406.2513@proforma.com>
Sender: jgg@proforma.com
Organization: Pro Forma
References: <1992Apr7.203952.300@agog.com>
Date: Sun, 12 Apr 1992 02:14:06 GMT
Lines: 13