Roger Krueger
Veteran Member
The short answer is that the DOF is the same, assuming you control all factors.
This means setting the FF camera to a higher ISO and numerically larger f-stop. This way the image noise is the same, and the DOF is the same. Both cameras hit diffraction at the same time, although at different f-stops. Both cameras have the same shutter speed
The only big exception is when you get to places where the equivalent f-stop or ISO doesn't exist on one of the cameras--for wxample you'd (roughly) need a 16/1.0 to be the equivalent of a 24/1.4 wide open.
Yeah, there are a bunch of fudge factors, this only takes into account photon noise, electrical noise doesn't really vary directly with sensor size; the MTF of the system at the CoC resolution can raise or lower the DoF a little; as you get to numerically small apertures lens abberations get exponentially, not geometrically worse; some lenses have corner sharpness issues on FF, but crop is in general more demanding of lens quality, etc.
But equivalence is still a very good approximation.
This means setting the FF camera to a higher ISO and numerically larger f-stop. This way the image noise is the same, and the DOF is the same. Both cameras hit diffraction at the same time, although at different f-stops. Both cameras have the same shutter speed
The only big exception is when you get to places where the equivalent f-stop or ISO doesn't exist on one of the cameras--for wxample you'd (roughly) need a 16/1.0 to be the equivalent of a 24/1.4 wide open.
Yeah, there are a bunch of fudge factors, this only takes into account photon noise, electrical noise doesn't really vary directly with sensor size; the MTF of the system at the CoC resolution can raise or lower the DoF a little; as you get to numerically small apertures lens abberations get exponentially, not geometrically worse; some lenses have corner sharpness issues on FF, but crop is in general more demanding of lens quality, etc.
But equivalence is still a very good approximation.