I'd like add that, naming aside, your algorithm results looks amazing, and you could even have a business (or a successful app) here.

I know a few online services that do manual (cutting in photoshop, setting on a 3D plane, etc) still photo to 2.5D parallax, e.g.:

https://sundstedt.se/blog/services/2-5d-parallax-3d-effect-a...

there are Fiverr gigs doing it, and tons of filmmakers (me included when I dabble with that), do it ourselves too (which takes time in Photoshop, Premiere, etc) from time to time (for news, documentaries, and such).

In fact I am about to pay a good 100-200 to have 4-5 photos done this way for a project...