I hope AST (artillery-shell television) comes fully equipped with a steady stream of barf-bags... *\;-)
Reconstructing an image is usually based on a repetition of a key indicator, such as the beginning of the brightness of the sky. It then proceeds to lining up these indicators and all that follows until the indicator repeats.
Television being such a basic concept, presumably familiar to all developing species, a computer algorithm should be available on all space traveling vessels to enable a quick reconstruction ability to any discovery of a “video signal”, indicated by the structure of the signal, (Sky-Earth/Sky-Earth/Sky-Earth/ ...)
I always wondered about that on Star Trek. “Captain, I’ve got a visual ...”