Originally posted by Medex Even if you are right about same perspective geometry of different focal lengths (two shots of the same scene from the same distance using different FLs will exhibit identical perspective geometry), you are trying to analyze just 1 aspect that is irrelevant for photography in real life. Maybe someone had misunderstanding about perspective compression or simply used that concept wrong, but I could understand why it occurred.
I'd hoped it was reasonably clear from the thread title and opening paragraph that my intention was to correct a common misunderstanding that focal length affects perspective distortion (and, hence, to dispel the myth of "lens compression"), as it had arisen in another thread
Perspective geometry is indeed just one aspect, but an important one nonetheless - and I'd argue it's far from irrelevant to photography in real life. Once we understand that distance - rather than lens focal length - affects perspective distortion, we more easily understand that to emphasise or exaggerate a subject in relation to its background (a cluster of rocks on the beach, a flower in the meadow, for example), we must get closer to it, whilst widening our field of view to retain context from the rest of the scene. Since we know "lens compression" doesn't exist, we can pick a shorter focal length confident in the knowledge that it will provide a wider field of view without affecting perspective geometry.
Still, this is beyond the limited aim of the thread. I set out to correct a very specific and clearly-stated misunderstanding, and trust this has been achieved. If any readers feel it's irrelevant to them, or they see things differently than me, that's OK... No harm, no foul
Originally posted by Medex The main reason why we use different formats of sensors and different FLs of lenses is our wish to "fill the frame" with subject and have maximum details in the picture. To do that we need to change the distance from camera to the object but not to crop image shot at small FL to get analogical sizes shot with telephoto lens. When we change distance to the object or use different FLs and try to "fill the frame", we get perspective distorsions / differencies.
So you are right purely mathematically, but not "photographically".
We
can fill the frame, or fit scene elements into it, by changing distance to subject, yes - but also by narrowing or widening the field of view respectively using longer or shorter focal lengths... yet the results are very different. These are both valid techniques whether used in isolation or (more often) in combination, and it's important that we understand the consequences of each technique in a three dimensional sense, rather than simply what's in frame and what's not. I think you and I are pretty much in agreement here - we simply express the concepts differently
Regarding different formats of sensor and different focal lengths of lens, my choice of one format over another is typically driven by - and balances - three considerations: (1) convenience (due to the size and weight of equipment), (2) final image quality requirements and my tolerance therein, and (3) range of creative control over field of view and depth of field simultaneously, relative to my expected use cases. I prioritise these aspects almost without thinking about them. Often, though, I just pick up whatever camera I fancy using that day, and take a couple of lenses with me that I feel are suitable for the occasion. Importantly, I know I can address most practical use cases quite well with either my APS-C or full frame setups, though each has specific advantages and disadvantages. For instance, if I want maximum subject-to-background isolation, I'll choose full frame and one of my fast primes. I own no lenses that would allow me to achieve such shallow depth of field at similar fields of view and working distances on APS-C.
Again, this is all way beyond the original, limited purpose of the thread