How do you exactly define "no rolling/twisting of the cable"?
For a quick test I projected a flat QR code onto the surface of a cylinder, printed the distorted image on a household printer, wrapped the paper around a 3 mm diameter wire. The result is readable from a still image made by a smartphone.
It haven't worked with 2 mm image / cable, but I'm pretty sure that's just limit of my printer's resolution. With 600 DPI there is only 2-3 dots per QR code pixel.
You could repeat that pattern with few degrees of rotation so one will always be in the right enough orientation to decode.
For a quick test I projected a flat QR code onto the surface of a cylinder, printed the distorted image on a household printer, wrapped the paper around a 3 mm diameter wire. The result is readable from a still image made by a smartphone.
It haven't worked with 2 mm image / cable, but I'm pretty sure that's just limit of my printer's resolution. With 600 DPI there is only 2-3 dots per QR code pixel.
You could repeat that pattern with few degrees of rotation so one will always be in the right enough orientation to decode.