Both Olympus SH-3 and FujiFilm HS20 EXR have 16.0 MP resolution sensors but Olympus SH-3's sensor is 1/2.3' (6.17 x 4.55 mm ) and FujiFilm HS20 EXR's sensor is 1/2-inch (6.4 x 4.8 mm ).
Since FujiFilm HS20 EXR'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 Olympus SH-3.
Below you can see the SH-3 and HS20 EXR sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus SH-3 and FujiFilm HS20 EXR Cameras
Olympus SH-3 and FujiFilm HS20 EXR have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the 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 SH-3
or the
FujiFilm HS20 EXR ,
including hyperfocal distance.
One thing to watch when comparing these two: they have different sensor sizes
(1/2.3' versus 1/2-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.