Panasonic LS5 has a
14.0MP 1/2.3-inch (6.08 x 4.56 mm ) sized CCD sensor . On the other hand, Sony HX1 has a
9.0MP 1/2.4-inch (6.104 x 4.578 mm ) sized CMOS sensor and features Bionz processor.
Panasonic LS5's sensor provides 5MP more than Sony HX1'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 LS5 and HX1 sensor size comparison.
Panasonic LS5 and Sony HX1 have almost the same sensor size, so neither of them has any significant advantage over the other in terms of providing control over depth of field when used with the same focal length and aperture.