Polarising filter for Compact digital

Does anyone know of a suitable polarising filter for an Olympus SP-810UZ?
According to the specs listed here
Olympus SP-810UZ specs (Meet Gadget)
it does not have a filter thread.
But imo you could have had a problem with vignetting at the 24mm end of the zoom using conventional filters.
You could construct your own slip-on polariser, should you purchase the camera and get the lens barrel dimensions using the tried & tested Blue Peter methods.
Good luck.

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