Casio EX-Z450 has a 12.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CCD sensor . On the other hand, Sony TX55 has a 16.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized BSI-CMOS sensor and features BIONZ processor.
Below you can see the EX-Z450 and TX55 sensor size comparison.
Casio EX-Z450 and Sony TX55 have sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Casio EX-Z450 has 32% larger pixel area compared to Sony TX55, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.