Panasonic ZS1 has a 10.0MP 1/2.5-inch (5.744 x 4.308 mm ) sized CCD sensor . On the other hand, Fujifilm XF1 has a 12.0MP 2/3-inch (8.8 x 6.6 mm ) sized EXRCMOS sensor .
Below you can see the ZS1 and XF1 sensor size comparison.
As seen above, Fujifilm XF1 has a 2.3x 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.