Both Olympus FE-3010 and Canon SX270 HS have 1/2.3-inch sized 12.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the FE-3010 and SX270 HS sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus FE-3010 and Canon SX270 HS Cameras
Olympus FE-3010 and Canon SX270 HS 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 FE-3010
or the
Canon SX270 HS ,
including hyperfocal distance.