hmm, that's not a bad idea.
Have a bucket that holds 40lbs cat litter that comes down a tube and into some sort of a spreader. Then, make it so the cat box itself has 3 parts. A base box, a sifter, and a discard with closing lid.
Make it so when the cat is done doing his/her business, the sifter lifts up, depositing the good cat litter to the bottom, bad stuff up top, then tip the sifter and all the stuff falls into the discard box and an automatic lid closes. Then, the sifter vibrates and settles back to the bottom of the box. Then when that is done, it activates a predetermined set amount of litter to come down the tube, and a comb like thing moves back and forth in the box to spread it.
Hmm, complicated, but, if the motors are all quiet, I don't think it would bother the cats much. This would save litter as well. Could even incorporate some kind of a light perfume cat friendly spray as well to finish it all off.
You could even incorporate a low level litter warning for the bucket holding the fresh litter, as well as a warning for the discard box for full level.
Hell, I'd buy something like this. No more bad smell from litter box, and easy discard tray. All i would have to do is just pour a fresh box of litter into the bucket once a week/month, and throw out the discard box every couple of days.
Hell, I'd help design this thing. We'd just have to find some way of manufacturing it all.
I love my cat, but I hate changing that pesky litter box.