Both Olympus SZ-31MR iHS and Samsung Galaxy Camera have 1/2.3-inch sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the SZ-31MR iHS and Galaxy Camera sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus SZ-31MR iHS and Samsung Galaxy Camera Cameras
Olympus SZ-31MR iHS and Samsung Galaxy Camera have the same sensor sizes so they will provide same level of control over the depth of field when used with 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 SZ-31MR iHS
or the
Samsung Galaxy Camera ,
including hyperfocal distance.