Both Samsung TL225 and FujiFilm S1600 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 TL225 and S1600 sensor size comparison.
Sensor Size and Resolution Comparison image of Samsung TL225 and FujiFilm S1600 Cameras
Samsung TL225 and FujiFilm S1600 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
Samsung TL225
or the
FujiFilm S1600 ,
including hyperfocal distance.