The domains are very large. You could work on historical documents, 3D reconstruction of artifacts, forgery detection, virtual reality museum visit, etc. You can have a look at the attached document to get a glimpse of the possibilities.
IMO, your search would be more fruitful if you first find the domain you prefer and apply any algorithms relevant to solve it
OR
decide on a general kind of algorithm and look for applications in heritage preservation.
One application related to image reconstruction (perhaps a response to wear and tear; in an effort to visualize what could have been in a pristine, ideal condition), using an image stitching algorithm, optimizing the process by reducing the parallax effect.
Article Fronto-parallel building facades stitching