My understanding is that some companies like Google have special image comparison algorithms that allow them to store a hash of an image but still perform a lik

My understanding is that some companies like Google have special image comparison algorithms that allow them to store a hash of an image but still perform a likeness comparison of the image. This is useful when filtering out (and alerting authorities about) images where storing the original is illegal, but also catching images in different formats, different resolutions, or even with some extent of color changes to them. While I would not consider it a simple problem, I would think that given enough resources something similar can be made for fingerprints. The problem is that, to my knowledge, nothing like this currently exists and you are not likely to get the needed budget approved for building it, especially in the land of government contracts.