With head tracking it should be possible to get close. The thickness changes are small, so the 3D effect is mostly from the uneven light reflection revealed by head movement, not stereopsis.
The texture of oil on canvas is extraordinarily complex and subtle. You would need billions of pixels and polygons and trillions of rays to even begin to capture the heavy impasto of Van Gogh or the coarse diffusion of Bacon.
> You would need billions of pixels and polygons and trillions of rays
So give it 5 years, and you'll have it on your phone...
If there's one thing I've learned over the decades about computer technology, it's to never say "impossible" or "never"...
Eventually, what you once might have thought to be only in the realm of "big and expensive" inevitably becomes "cheap and commodity" in a far shorter time than you expect.
That was one of the rather unexploited features of the Amazon Fire Phone, which I loved for that very reason. Unfortunately, it didn't see much use, but you could take pictures that could capture depth (created by rotation) and it was so cool.
