FujiFilm S2800HD has a 14.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor . On the other hand, Canon G1 X II has a 13.0MP 1.5-inch (18.7 x 14 mm ) sized CMOS sensor and features Digic 6 processor.
Below you can see the S2800HD and G1 X MII sensor size comparison.
As seen above, Canon G1 X II has a 9.3x Larger sensor area than FujiFilm S2800HD. 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.