It's doable, but it's incredibly inefficient. It makes more sense to use waveguide models or procedural simulations, because they produce similar results for a tiny fraction of the cycles.
There's a lot of non-linearity in the physics, and any rendered model has to allow for that. So it's a long way short of real time synthesis, even with a GPU.
Karplus-Strong is the entry-level version of various complex waveguide and resonator models, and the technology has been used in commercial products for more than twenty years now.
The commercial problem is that for many applications, multi-sampling sounds better. Most musicians don't want experimental sounds, and those who do prefer other ways to make unusual noises - preferably more intuitive ways that are easier to control.
So there's limited commercial demand for waveguide modelling, and no demand at all for a full-fat 3D rendered synthesis engine.
There's a lot of non-linearity in the physics, and any rendered model has to allow for that. So it's a long way short of real time synthesis, even with a GPU.
Karplus-Strong is the entry-level version of various complex waveguide and resonator models, and the technology has been used in commercial products for more than twenty years now.
The commercial problem is that for many applications, multi-sampling sounds better. Most musicians don't want experimental sounds, and those who do prefer other ways to make unusual noises - preferably more intuitive ways that are easier to control.
So there's limited commercial demand for waveguide modelling, and no demand at all for a full-fat 3D rendered synthesis engine.