Panasonic ZS1 has a 10.0MP 1/2.5" (5.744 x 4.308 mm ) sized CCD sensor . On the other hand, Olympus 8010 has a 13.0MP 1/2.3" (6.08 x 4.56 mm ) sized CCD sensor and features TruePic III processor.
Below you can see the ZS1 and 8010 sensor size comparison.
As seen above, Olympus 8010 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.