I was lying in the bath the other day and had just that thought. Why not inkjet the filter matrix? I'd love to try it. Great minds think alike - but fools seldom differ!
If you could get it to work there would be many advantages of inkjet printing the matrix. e.g. you could finely adjust your matrix to match the emulsion's spectral response. Not only could you change the proportion of RGBK "grains" but you could use other colours.
The main reason I feel it is totally doable is that this approach was more or less taken (sans inkjet) into the 21st Century in the form of Polachrome. I remember using this in the 1980s to produce rush job slide presentations for people. I'm not sure how the colour matrix was laid down though.
https://en.wikipedia.org/wiki/Polavision
There was Dufaycolor in the early 20th Century that used a similar technique with a regular colour matrix on film.
But the number of things that need to come together to create any autochrome-like additive process are enormous. The matrix is only one part of the puzzle and the other parts may be harder.
- You need a near panchromatic (ideally somewhat isochromatic) emulsion or you won't capture the colours or roughly balance the colours.
- You need the emulsion to be relatively fast because the light has to pass through the filter before it hits the emulsion and the filter can pass a theoretical maximum of 1/3 of the light (you're splitting it into 3) but practically much less because you need black between the grains. Also reversal processing typically makes it even slower.
- You need to be able to coat in total darkness (the emulsion is pan) or sensitise the plate after coating by soaking it in a red dye - but that dye can't be allowed to effect the colour matrix.
- You need to develop and reverse the image without damaging the matrix. The reversal processes I know of use strong oxidising agents (H2O2 or toxic chromiums) to bleach out the silver this may be tricky. (You could just make negs and scan them though but that wouldn't feel like autochromes more like 19th Century C41!)
I didn't jump out the bath and start work on autochromes because I don't have the skills to make a descent orthochromatic emulsion yet let alone a panchromatic one of any speed. If I could make one I might try my luck at Lippmann colour plates first as they have fewer complexities. Autochrome are a distant dream.
Go for it though. I'd love to hear how you get on.