So they're using the screen consisting of three monochromatic LED types as a full-spectrum light source? I don't think that works... You still just get three points on the spectrum, same as the Bayer filter on the camera.
I suppose if the three screen LED wavelengths were significantly different from the three camera filter wavelengths then you could:
Illuminate with screen Red to get Rscreen.
Illuminate with screen Green to get Gscreen.
Illuminate with screen Blue to get Bscreen.
Use ambient full-spectrum light to get Rfilter, Gfilter, and Bfilter.
I suppose if the three screen LED wavelengths were significantly different from the three camera filter wavelengths then you could:
Illuminate with screen Red to get Rscreen.
Illuminate with screen Green to get Gscreen.
Illuminate with screen Blue to get Bscreen.
Use ambient full-spectrum light to get Rfilter, Gfilter, and Bfilter.
Then you'd have 6 points on the spectrum.