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perspective
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The second one. The image is simulated as how an external observer would see it. It was firstly done for the Interstellar movie.
The first simulated images were actually computed decades ago, but I think Interstellar had the most detailed simulation by a high margin
https://www.cnrs.fr/en/press/first-ever-image-black-hole-cnrs-researcher-had-simulated-it-early-1979
Interstellar spent 100 hours of mainframe compute time per frame to simulate a black hole
https://www.indiewire.com/features/general/black-hole-photo-christopher-nolan-insterstellar-predicted-look-1202057414/
Wow, that first one is so cool.
Yeah, I misremembered the Interstellar paper that said it was the first simulation for a movie and thought it was the first image simulation ever. It's even referencing the old one there.
Cool, thought for a long time there it was just an artistic liberty; but this is much cooler.