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From: adg@otter.hpl.hp.com (Adrian Geisow)
Newsgroups: comp.graphics
Subject: Re: Bezier curves
Message-ID: <1710003@otter.hpl.hp.com>
Date: 13 Sep 89 11:33:17 GMT
References: <273@marvin.moncam.co.uk>
Organization: Hewlett-Packard Laboratories, Bristol, UK.
Lines: 14

Let the original control points be b(j), j=0,3.

Let p(0,j) = b(j),  j=0,3

Let p(i,j) = (1-t).p(i-1,j) + t.p(i-1,j+1),  i=1,3; j=0,3-i


The two new sets of control points are then

     {p(i,0)}, i=0,3    and     {p(3,0),p(2,1),p(1,2),p(0,3)}

This process generalizes for Bezier curves of all orders.

Adrian Geisow