# Find the cubic bezier control points from end points and tangents

If i have 2 end points and two unit vectors as tangents at the two end points is it possible to find the cubic bezier curve control points that make the curve ? Is there one solution or many solutions ?

Visual of what i am trying to find:

• You need two more constraints, such as the curvature at each end, or two points on the curve. May 26 '20 at 14:05
• How would you define the curvature of the two points exactly ? What does that mean ?
– WDUK
May 26 '20 at 19:16
• Formally, curvature is the rate of change of the tangent angle with respect to arc length; less formally, the reciprocal of the radius of the best-fitting circle at that point. May 27 '20 at 4:47