Casio EX-Z450 has a
12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor . On the other hand, Fujifilm Z1000EXR has a
16.0MP 1/2-inch (6.4 x 4.8 mm ) sized EXRCMOS sensor .
Below you can see the EX-Z450 and Z1000EXR sensor size comparison.
Casio EX-Z450 and Fujifilm Z1000EXR 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.