Rational Cubic Bézier Curves
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This Demonstration shows a rational cubic Bézier curve, with green marks at two-thirds the distance of the points and
to the intersection of
and
. When you drag the points
and
to the green marks and set the parameter
to 1, the resulting curve is equivalent to a normal (
) quadratic Bézier curve with points
,
, and
, where
is the red point of intersection. This is not the case if
.
Contributed by: Alexis Luengas Zimmer (September 2012)
Based on a program by: Isabelle Cattiaux-Huillard and Gudrun Albrecht
Open content licensed under CC BY-NC-SA
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"Rational Cubic Bézier Curves"
http://demonstrations.wolfram.com/RationalCubicBezierCurves/
Wolfram Demonstrations Project
Published: September 28 2012