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If you asked me, I would ask what sort of dog? or which dog? If you said, "it doesn't matter", then I just get some random dog. It's a bit like a slideshow of dogs. If you asked me to describe it, then it would be some fantasy dog or I might zoom in on a dog that I actually know.
I have bits of what could be called photographic memory. In school I would "snap" pages of notes and then in the exam recall the page and "read" it for the information required. I never actually tested it to see how many pages I could save and recall like that. Probably less than a roll of film.
Will look at @r721's links. Very interested.
So yeah, there's an image of some sort there, but it's certainly nothing like a high-res photograph or anything.
Even things that are highly visual, like Chinese characters that I can write from memory, I don't copy them from mental pictures.
On the other hand, when I listen to music, I easily pick apart all the different elements and know their textures, kind of like flying and knowing what the terrain is via radar. It's still not visual, it's just knowing.