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Quorten Blog 1

First blog for all Quorten's blog-like writings

Calculating the field of view of a DSLR camera lens is easy, right? This is the formula that you can intuitively reason up on your own and is also repeated on many different websites online.

f = lens focal length
h = horizontal sensor width
hfov = horizontal field of view
hfov = 2 * atan((h/2)/f)

But does this really work in practice? I did some tests, and… yes it does work, but only under specific conditions. Namely, the focal length specified of a lens is only effective in this equation when the lens is at infinity focus. Technically speaking, the distance between the center of the lens and the center of the sensor is what truly determines the field of view. So, because of the fact that lens focus on a simple prime lens is setup to move the lens further away from the sensor to focus on close-range objects, the field of view is effectively narrower under close-range photography conditions. Under extreme circumstances, this can nearly double the effective distance, therefore approximately halving the field of view.

So, keep that in mind when doing photogrammetry. If your camera system doesn’t have a means of sensing and digitally encoding the lens focus setting, make sure you note this down yourself. If the information is not noted but you have an idea of the scale of a close-range object being photographed, then you can use that information as a starting guide to determine how much you should narrow the field of view compared to the calculation from the rated focal length.

Another point in hand. Are you shooting with the aperture wide open or stopped down? If the lens build is such that only the lens moves during focus but the aperture stays stationary, then changing the aperture setting will change the effective field of view. A more stopped down aperture will end up being closer to the field of view calculated from the rated focal length. Most simple prime lenses have the aperture stationary because that simplifies the lens design, construction, and operation.