First, I have to admit that I don't know a good term to refer to this case, nor do I have a concrete example. Everything is just from a vague memory. So if you can correct me or suggest a good correction, please feel free to do so.
I believe that I have sometimes come across a sentences in which the authors have some sorts of list of descriptions but only form a full clause for the first item of the list, and leave the second and third with just [subject object]. I don't know if it is a correct (and good) thing to do, but it amuses me somehow and I'd like to understand it better.
The sentence is something like this (this is my example, I don't have a good recall what I have come across):
Bushes should be categorized as trimmable, while trees (should be
categorized) as obstacles, and grass (should be categorized) as
terrains.
My sentence could be a lousy one or in the context that can be written in this way, but hope that you get my point
EDITED: keeping "as" as suggested
Best Answer
This is a specific type of ellipsis, gapping. According to Wikipedia:
As it says, it's the verb that gets elided, not prepositions (meaning you should keep "as", like @marcellothearcane said). Wikipedia has a similar example (subscript is the elided part):