Years ago we animated the view of an observer approaching objects at near light speed. The article below shows the shape distortions you can get. Another one we did showed the wavelength distortions you get (but Ethan did a good job of that in this article). Here is the Popular Science article written up on our work.

https://books.google.com/books?id=wGzIqgNb52EC&pg=PA81&lpg=PA81&dq=thibadeau+light+speed+pixel+magazine&source=bl&ots=8dj0--nq3K&sig=ACfU3U2d5FwNqFjfd4IACo04BILvF_DRKQ&hl=en&sa=X&ved=2ahUKEwiWl4_BobH_AhUuMlkFHdZnA5AQ6AF6BAgeEAM#v=onepage&q=thibadeau%20light%20speed%20pixel%20magazine&f=false