How does photographic image and film differ from other art forms like painting?

Andre Bazin

Except the best photographers can manipulate the image through lighting, focus, depth of field, composition, and various interventions in developing the negative and again in the printing.

I’m with @zenvelo on this.
You may not see their physical finger prints left in the medium but that doesn’t mean another photographer could (or would want to)take the same photo of the same subject.

Canon actually produced an ad based on the concept

@Lightlyseared

Thanks for that link. That was really fascinating to watch.

To answer the Q, the minute I read it, the image of an Annie Leibovitz photo of Whoopi Goldberg in a tub of milk flashed through my memory.

It’s one of her best remembered iconic photos and no one but she could have (or would have) taken it.

Interestingly , when she initially enrolled in art school, she went for painting. However, she found that too isolating, so switched to photography because it gave her more social contact. And she has certainly left her mark (fingerprint, if you will)

When one sees a Leibovitz photo, even if unmarked, you have a hunch it’s one of hers.

This article covers 20 of her best and the comments she makes are very illuminating.
.
.
http://www.therichest.com/expensive-lifestyle/lifestyle/20-best-celebrity-portraits-by-annie-leibovitz/?view=all

@Buttonstc I loved the pictures of Kirsten and Miley. The one of Kirsten, everything looks like it’s framing her face and she looked graceful, the one of Miley was just gorgeous. If I had to describe it, it just felt so natural and guarded, like the way you would perceive an animal in the wild. I think it proves @Lightlyseared point and the one in the video.