There is no algorithm right now that I know that can do what you need using that image.
Even if it was a 3D model using the same wood texture, the shadows are now combined with the wood texture so basically, the information is mixed and lost.
I took a quick look separating channels but the info is sooo contaminated it is useless.
I agree with Bill Ker, but let's explore some things.
If you have the wood carvings on some physical samples try to paint them in white so you can extract the carving itself using proper illumination.
Use a glossy paint so you can extract also the highlights.
But the best way to do that is either using a real 3D program and make your own carvings in 3D or preparing a Photoshop Mockup with different layers.
Here is a possible cross-section to be used as a 3D model later.