In the past I've seen many beautiful pieces making use of a "natural edge", such as this: https://www.houzz.com/photos/44117627/Live-Edge-Conference-Table-rustic-dining-tables. Other examples:
The term natural edge seems to be applied to the very bumpy organic shape of the edge, which is different from live edge which refers to the slab going up to the bark or cambium layer. I always assumed these went together, but now that I'm looking to give something like this a try and have been looking at live edge wood slabs to purchase, I've noticed that the edge seems relatively flat under the bark; or at least it doesn't have nearly as much variation as show in the photos. Especially once the bark is peeled off with a draw knife. Though I've only really looked at a few species of local trees.
Is there term live edge actually referencing a natural feature that some woods have? Or is it a term that actually refers to an artificially chiseled edge made to look organic? How does one create a table with a natural edge like this?