There's really only two air cleaning technologies that are worthwhile right now:
- HEPA filters (remove PM 2.5 particulate and above).
- Activated carbon (neutralizes harmful gases).
The only other thing that may be worthwhile is a pre-filter, but that is mostly a cost saving measure rather than actually improving air filtration.
Unfortunately commercial filters are full of gimmicks that don't work or may even be harmful due to Ozone generation (e.g. Ionizers, UV lights, et al.).
Something like this:
I think, as with many DIY projects, one must look to the pot growing community. They solved the problem of "how do I not stink out my apartment" a long time ago - duct fans and HEPA/carbon filters are the mainstay of grow rooms.
However, I suspect availability plays into it. Almost anyone can pick up a couple of rectangular HEPA filters and a box fan from the local hardware or big box store.
I've never seen a cylidrical HEPA filter. So, I probably need to order that from an industrial supplier.
And, aren't duct fans kind of noisy? Do they make quiet ones?
In addition, this fan/filter seems even easier: https://smartairfilters.com/en/blog/cannon/
I have no idea what's required for HEPA certification, but lots claim to be:
https://www.amazon.com/LEVOIT-Core-Replacement-High-Efficien...
It has an outer dust mesh, the HEPA filter and a carbon insert. They're all the same though, I think you could use any manufacturer's filter. Longevity isn't really an issue if a supplier goes bust, just re-make the adapter ring. Pretty much all you need and you don't need to worry about sealing the corners.
According to OP's link, they use a duct fan booster which is a lot quieter than a box fan (at least the claim is it can go down to 16 dB).
Though a question is does a can-shape system work better? Or would you get the same effect if you used a single flat filter with the same "unrolled" area? I have no idea, and there's so much uncertainty involved with DIY testing.