Bezier Curve Function

Vectorized function to calculate Bezier Curve

Description

This function constructs a Bezier curve from given control points. P is a vector of control points. N is the number of points to calculate.

Example:

P = [0 0; 1 1; 2 5; 5 -1];
x = (0:0.0001:5);
y = BezierCurve(length(x), P);
plot(x, y, P(:, 1), P(:, 2), 'x-', 'LineWidth', 2); set(gca, 'FontSize', 16)

Acknowledgements

The author wishes to acknowledge the following in the creation of this submission:
Bezier Curve Plotter

• MATLAB release: MATLAB 7.11 (2010b)

[Joey]

I don't understand the math well enough to pick out exactly what's wrong, but the curve that this code gives for certain sets of points is definitely not right.

Try this and you'll see:
P = [0 2; 4.38 6.38; 5.32 5.32; 9.7 9.7];
x = (0:0.01:9.7);
y = BezierCurve(length(x), P);
plot(x, y, P(:, 1), P(:, 2), 'x-', 'LineWidth', 2); set(gca, 'FontSize', 16)

http://img685.imageshack.us/img685/9228/badcurve.jpg

[Joey]