# Cubic Bezier Curve

### Click and drag control points to change curve.

For more information, check out the post on my blog: Bezier Curves.

Cubic bezier curves have 4 control points and total up the values of the 4 functions below to get the final point at time t.

- A * (1-t)^3
- B * 3t(1-t)^2
- C * 3t^2(1-t)
- D * t^3

Parameters:

**t** - "Time", this value goes from 0 to 1 to generate each point on the curve

**A** - The first control point, also the starting point of the curve.

**B** - The second control point.

**C** - The third control point.

**D** - The fourth control point, also the ending point of the curve.

In other words, if you have 4 control points A,B,C and D, and a time t:

CurvePoint = A*(1-t)^3 + B*3t(1-t)^2 + C*3t^2(1-t) + D*t^3.

Note that this bezier curve is 2 dimensional because A,B,C,D are 2 dimensional, but you could use these same equations in any dimenion!