n-th order Bezier Curves?

Question

I\'ve managed to implement quadratic and cubic Bezier curves.They are pretty straightforward since we have a formula. Now I want to represent an n-th order Bezier curve using th

Answer 1

The sum in your formula...

...runs from 0 to n, ie for an n-th order bezier you need n+1 points.

You have 4 points, so you're drawing a 3rd-order bezier.

The error in your code is here:

for(int j = 0; (unsigned int)j < nbPoint; j++)

it should be:

for(int j = 0; (unsigned int)j <= nbPoint; j++)

otherwise you're only iterating from 0 to n-1.

EDIT:

Out of interest, the shape you were getting is the same as if the missing (5th) point was at (0,0), since that's the only point that would contribute nothing to your sum...