Both Panasonic ZS1 and Samsung TL350 have 10.0 MP resolution sensors but Panasonic ZS1's sensor is 1/2.5-inch (5.744 x 4.308 mm ) and Samsung TL350's sensor is 1/2.3-inch (6.08 x 4.56 mm ).
Since Samsung TL350'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 Panasonic ZS1.
Below you can see the ZS1 and TL350 sensor size comparison.
Sensor Size and Resolution Comparison image of Panasonic ZS1 and Samsung TL350 Cameras
As seen above, Samsung TL350 has a 1.1x Larger sensor area than Panasonic ZS1. 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.