Both Sony W510 and Canon G15 have 12.0 MP resolution sensors but Sony W510's sensor is 1/2.3-inch (6.17 x 4.55 mm ) and Canon G15's sensor is 1/1.7-inch (7.44 x 5.58 mm ).
Since Canon G15's has a larger sensor area with the same resolution, this means that it also has a larger pixel area hence better light collecting capacity for a given aperture compared to Sony W510.
Below you can see the W510 and G15 sensor size comparison.
As seen above, Canon G15 has a 1.5x Larger sensor area than Sony W510. 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.