Batch size for High-res Images

[FuriouslyCurious]

Hey Justin,

I am going to work on Radiology X-Ray images with 2048x2048 resolution for my next project. Do you have any insights on what batch size can fit in 12GB Titan X for these higher res images?

I am trying to decide if I can get away with Titan X or need to bite the bullet and get a card with 24GB VRAM.

Thanks!