Bezier curves in hardware? (X-Y-mode on oscilloscope)
I've once made a digital second order interpoler with just adders and shifts.
Bezier curves are second order curves. Lines are first order.
To draw lines, you use an integrator :
Pos0 = Initial value
Pos = Pos + Speed * Time

To draw second order curves, you can use two integrators :
Speed0 = Initial value
Pos0 = Initial value
Speed = Speed + Acceleration * Time
Pos = Pos + Speed * Time

With initial values for Position, Speed and a constant Acceleration (taking a mechanical analogy), you can draw parabolic curves (like throwing an object).
Repeat for X and Y positions.