When the ball detects impact, part of this compressed air is released inside the ball, causing it to expand enough to bounce. Upon bounce, mini-vents open and let out just enough air to bring the pressure inside the ball back to what it was before the ball hit the ground.

The result is a basketball that bounces higher and higher each time unless caught (or until the compressed air runs out).

It may prove to be easier (if a bit less uniform) to use pneumatic actuators inside the ball rather than simply letting more air in.