Olympus VG-120 has a
14.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor and features TruePic III processor. On the other hand, Canon ELPH 350 HS has a
20.0MP 1/2.3 (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features DIGIC 4+ processor.
Canon ELPH 350 HS's sensor provides 6MP more than Olympus VG-120's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the VG-120 and 350 HS sensor size comparison.
Olympus VG-120 and Canon ELPH 350 HS 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. On the other hand, since Olympus VG-120 has 46% larger pixel area compared to Canon ELPH 350 HS, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.