[Ether]

Originally Posted by gpetilli

We always square the joystick before using to improve fine motor coordination.

minor (but important) clarification - to preserve the sign:
joy2 = joy * abs(joy);

If you want to be able to fine-tune the sensitivity adjustment, try this instead:

Joy_adj = a*(Joy³) + (1-a)*Joy,

where "a" is a constant in the range 0<=a<=1.

By changing "a" in that range, you get a family of curves lying between the curve Joy_adj=Joy and Joy_adj=Joy³.

When a=0 you get Joy_adj=Joy, and when a=1 you get Joy_adj=Joy³. When 0<a<1, you get a "blend" in-between Joy_adj=Joy and Joy_adj=Joy³. The range of Joy_adj is still -1 to +1 for all curves in the family.

More detailed explanation here.