It's called a fisheye lens. That provides a spherical projection on flat film. (Spherically curved film being a bit of a mechanical challenge.)
You can get a cylindrical projection using a swing-lens panoramic camera (here, the film is curved, but the lens is rectilinear).
Or, you can use rectilinear projection.
None is more "correct" than the other. Each has their application. Incidentally, all the lenses Adams used were rectilinear.
I have used full-frame fisheye lenses extensively, and I really enjoy how they keep round things round. But if you want something straight kept straight, it has to go through the center of the frame.
Here's the problem when trying to relate this to our spherical retinas, however. We perceive images after they go through post-processing. Even when I close an eye and lose stereoscopic vision (which, by the way, has been done in photography, but not by Adams), straight lines in the periphery of my field of vision still seem straight. The reason they do is that my brain automatically provides a rectilinear projection filter for those items that are rectilinear. But it also provides a spherical filter for those items that are spherical.
We can create tension in an image by making straight lines curved when we would normally perceive them as straight, or round objects distorted when we normally perceive them as round. That tension seems to me to have as much potential artistic validity as seeking to relieve that tension. But one reason I have used fisheye lenses is to prevent the stretched look in the corners that comes with rectilinear lenses, when the items in the corners have organic, non-rectilinear shapes. All of this is highly dependent on the subject, of course. A fisheye lens for a horizontal view of trees would create plenty of that what I would call visual dissonance (which might suit my artistic purposes, or not). But if you point the camera straight up, tall trees still look fine because their lines cross through the center and they therefore stay straight. And on and on.
I'll include one image, linked only because it is small format.
Mt. St. Helens, fisheye lens.
Note that it does not look like a fisheye image--all the logs that are straight point through the center of the frame. The barrel distortion actually works with the shape of the mountain.
I could have made many rectilinear images at this location that would have pleased me.
Rick "pretty sure there is no Grand Unified Theory in the topic of which projection relieves 'visual dissonance', whatever that is defined to be" Denney
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