You are correct. Any lens at 18" bellows draw has the angle of view as an 18" lens focused at infinity. This is proven by geometric projection.
Yes, in terms of simple lenses, as you focus closer, the angle of view on the film decreases. There are certain cine lenses that are designed to minimize these effects. For example, not all lenses focus by moving the center of the lens with respect to the film plane and it is possible to make a lens that zooms as it focuses to keep the angle of view constant.
Good lord. Why all the fuss about asking valid questions that I have asked myself in the past.
You are correct. Any lens at 18" bellows draw has the angle of view as an 18" lens focused at infinity. This is proven by geometric projection.
You are also correct that foreshortening will increase as the lens gets closer to the subject. If you want the subject to look natural, you must think of how far the print will be viewed from. If you will be viewing the final print from 5 feet away, then the lens should be positioned 5 feet from the subject.
If you intend to view very close, say 12", and viewed with one eye, then the lens should be 12" from the subject and it will look natural. Note that nobody really ever views a person's face from 12". Usually faces are viewed from at least three feet away. Since you view a person mostly at farther distances, you will need a shooting distance equal to these farther distances, at least three feet and usually five to ten feet for people you are not intimately aquainted with. Strangers are always remembered when viewed from the distance you see them at--strangers keep their distance.
There are other things going on, however. Sometimes you want to have intentional foreshortening in someone's face which is very flat--shoot that face up closer and it will round it out. Similarly, a pointy face will be flattened out when shot from farther away. The correct distance depends on the person's face and the photographer's taste as to what he or she thinks is attractive. Each person has an angle and a distance where they look best.
My using 35mm equivalents was just to quantify the idea of perspective in what I thought were mutually understandable terms.
But this is not equivalent to "Any lens at 18" bellows draw has the angle of view as an 18" lens focused at infinity" because not all lenses have the same angular coverage.
Thanks everyone. In spite of some of the lively responses, I'm not sorry I asked! My using 35mm equivalents was just to quantify the idea of perspective in what I thought were mutually understandable terms. For example, a tight head and shoulder shot taken with a 40mm lens on a 35mm camera, will (typically) look less flattering than one taken with an 80mm lens. Focus doesn't upset the equation like it does with 8x10.
Yes, I can use my eyes and decide what looks good for a particular person or model. I do that.
My 8x10 camera has a maximum bellows draw of about 24 to 26". Given that, I'm trying to decide if I can improve on my 12" lens for portraits. I want a tight head and shoulder shot, but I also don't want the rail of my camera poking my subject in the neck. If the answer is that 24" isn't long enough, then I'm looking for that "sweet spot." I just need to work it out on paper now.
Hmm. OP, there's a magic formula that will make things a little easier for you. Extension needed, given magification and lens' focal length, is focal length * (magnification + 1). A half live-size head and shoulders shot has magnification = .5, and so on.
From this, I've derived the following relationship:
d = F(m+1) / m
where d is the subject distance (from the lens), m is the magnification, and F is the focal length of the lens. The numerator, F(m + 1), gives the bellows extension.
Maybe there's a more succinct or intuitive way to state it.
You should realise that witha 300mm lens you will get 0.5X manginfication with the bellows at 450mm extension. Subject will be at 900mm from lens board.
Now you need to start thinking what that means in terms of being able to light the face without the camera casting a shadow at that distance and how the subject will feel about having a 300mm lens stuffed up their nostrils.
Now start paying attention to using a lens 70% longer than standard 300mm.
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