Message: 9 Date: Wed, 14 Apr 2004 14:36:32 +0200 From: Beat Cornaz <[EMAIL PROTECTED]> Subject: Re : Dragging and changing a curve (image) (snip) I'm VERY INTERESTED in the Bezier function by Alejandro. Where can I get that one?
Beat,
I found the math for the Bezier curve. The equations are a parametric representation rather than a y = f(x). But you could still post that parametric representation as you move the Bezier points, that is:
x = 2 + 3 t + 4 t^2 + 4 t^3 y = 4 + 3 t + 2 t^2 + t^3
where the coefficients would vary as you moved the control points. Transcript even allows you to print the superscripts.
Jim ----------------------------- Math for Bezier curve:
Bezier curves are created by taking a time-varying linear combination of the control points. The Bernstein polynomials (of degree 3) are used to calculate this linear combination given by the following equation where Pi is the ith control point:
P(t) = (1-t)^3 *P0 + 3*(1-t)^2*t*P1 + 3 *1-t)*t^2*P2 + t^3*P3 with t running from 0 to 1.
_______________________________________________ use-revolution mailing list [EMAIL PROTECTED] http://lists.runrev.com/mailman/listinfo/use-revolution
