Generally
, a Template is metadata extracted from the image for comparison against another template. But there is no way to get the image from the template.
(Is only a little bit like hashing in that regard, you can generate a hash from the image, but not the image from the hash.)
However, there seems to be research stating that a fingerprint image could be used to do so, but IMHO it is research for now. https://www.researchgate.net/publication/221145072_Can_Fingerprints_be_Reconstructed_from_ISO_Templates
Then if we start from the general understanding, the image is the one that needs to be stored, and the template taken from it for fingerprint comparison.
https://link.springer.com/referenceworkentry/10.1007%2F978-0-387-73003-5_51