Panasonic ZS3 has a 10.0MP 1/2.33" (6.08 x 4.56 mm ) sized CCD sensor . On the other hand, Kodak Astro Zoom AZ651 has a 21.0MP 1/2.3" (6.17 x 4.55 mm ) sized CMOS sensor . Kodak Astro Zoom AZ651's sensor provides 11MP more than Panasonic ZS3'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 ZS3 and Astro Zoom AZ651 sensor size comparison.
Panasonic ZS3 and Kodak Astro Zoom AZ651 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.