Both Olympus E-P7 and Sony RX100 II have 20.0 MP resolution sensors but Olympus E-P7's sensor is Four Thirds (17.4 x 13 mm ) and Sony RX100 II's sensor is 1-inch (13.2 x 8.8 mm ).
Since Olympus E-P7's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Sony RX100 II.
Another difference between these two cameras is that Olympus E-P7's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moiré occurring in certain scenes.
Below you can see the E-P7 and RX100 II sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus E-P7 and Sony RX100 II Cameras
As seen above, Olympus E-P7 has a 1.9x Larger sensor area than Sony RX100 II. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Olympus E-P7
or the
Sony RX100 II ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(Four Thirds versus 1-inch),
so compare them at the same framing rather than the same focal length.
Put the same focal length on the smaller sensor and it will show less depth of
field, not more, because it also crops tighter. The calculator shows the
full frame equivalent focal length for each body so you can match the framing.