Whether you call it distortion or not, the shifted image is different. In the shifted image you can see the edge of the coin. In the normal photo, the edges are invisible
No the edges are not visible in the shifted image. I have used shift in this manner for around three years and have never once had the edges of a coin visible in the resultant shot.
Here is a real life example. Camera Sony A7Rii( full frame). Lens is a Mamiya 645 120mm F 4 @ 5.6. Subject a 62(/3)mm diameter medal. Lens is mounted via a mirex Tilt shift adapter with 15mm shift applied. The set up looks like this:
The unedited( it has been reduced for posting here) picture follows, the black section on the right hand side of the frame is the edge of the back light . You will note the edges are not visible. Note the medal is very thick( only the rim is visible not the edge/sides) so if you were correct the edge/side would be easily visible. My understanding based on my understanding and experience experience is that with shift the only way you would see the medal coin edge would be if you used a pericentric lens( I have not used a pericentric lens):
As you can see the edges are not visible ( in a real life example)
I would also note there is no a obvious distortion.
This concept of shifting causing distortion versus the un-shifted image seems to be difficult for folks to understand. I have gone at this from multiple angles on both forums. For sure I am not using some arcane definition of distortion. Maybe too many words, not enough pictures...
NO you have not given any explanation, all you appear to have done is repeated the same assertion. Each time I have asked you to explian using a diagram you come back to the same written explaination. Accordingly it is a little exaserperating to read this from you:
Maybe too many words, not enough pictures
your assertion is at substantive variance to my experience and reading. Please I am now asking for the third time; using your diagram show me where and how the distortion is occurring and as previously requested please also supply some links or names of references. I repeat what you are saying is at substantive variance to the references I have read and used for Tilt shift photography
It would help if you could tell me what type of distortion you are referring to then I can going and research it my self. Here I make an assertion: shift, as I have used it and understand it , is not a form of distortion, it is a means to change perspective and/or avoid distortion(such as that caused by paralex)