Unknit perhaps?
Its certainly doable with wood (and the commercial furniture makers will make use of all manner of crappy off cuts of stuff and stick them back together.
(lots of "solid oak" furniture you buy in the shops is 100% oak in the same way as a beefburger is 100% beef!)
It adds lots of time to a job though, which can be frustrating if you are like me, and like result more than the process.