Fujifilm X-T1 IR has a
16.0MP APS-C (23.6 x 15.6 mm ) sized CMOS X-TRANS II sensor and features EXR Processor II processor. On the other hand, Samsung HZ25W has a
12.0MP 1/2.3-inch (6.08 x 4.56 mm ) sized CCD sensor .
Another difference between these two cameras is that Fujifilm X-T1 IR'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 X-T1 IR and HZ25W sensor size comparison.
As seen above, Fujifilm X-T1 IR has a 13.3x Larger sensor area than Samsung HZ25W. 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.