Code

static PointF GetBezierPt(PointCollection points, int segment, float t)
{
	float x0 = points[segment * 3 + 0].X;
	float y0 = points[segment * 3 + 0].Y;
	float x1 = points[segment * 3 + 1].X;
	float y1 = points[segment * 3 + 1].Y;
	float x2 = points[segment * 3 + 2].X;
	float y2 = points[segment * 3 + 2].Y;
	float x3 = points[segment * 3 + 3].X;
	float y3 = points[segment * 3 + 3].Y;

	float tt = t;

	float q0 = (1 - tt) * (1 - tt) * (1 - tt);
	float q1 = 3 * tt * (1 - tt) * (1 - tt);
	float q2 = 3 * tt * tt * (1 - tt);
	float q3 = tt * tt * tt;
	float xt = q0 * x0 + q1 * x1 + q2 * x2 + q3 * x3;
	float yt = q0 * y0 + q1 * y1 + q2 * y2 + q3 * y3;

	return new PointF(xt, yt);
}