I have a feeling this question is either trivial or impossible, but I don't have the blender knowledge to know which. I have 3 planes all of which share the same material, as shown in the picture below:
The colour is determined by a the random output from object info put through a wave texture and ColorRamp, so that I can randomly change the colours on the different areas by changing the Wave Texture parameters.

I would like to produce an element of blur between these objects. I would prefer real blur, that is an averaging of two neighbouring colours shifted by an amount in space, but if that's impossible I'd settle for a noise/vector curves method, I'm just not sure if that's possible here either.
Thanks, and sorry if this is a really dumb question.
