How to transform a RGB matrix to a weighted adjacency matrix?

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I have the following 604x604 pixel image A
This image A represents connectivity strenght between particular vertices, theoretically this is thus a 47x47 connectivity matrix. The colours represent the connectivity strenght between two vertices as indicated with a scale seen on the image B (which is 456x12 pixel image) below:
Here the absolute left (blue) indicates a connectivity strenght of 0, while the absolute right (red) indicates a connectivity strenght of 5. The goal I have in mind is to eventually output a 47x47 weighted adjacency matrix with entry value that represent the connectivity strengh (between 0 and 5) of each block as seen in image A.
I think this shouldn't be that difficult, yet I can't seem to think of a simple way to do it.

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Steve Eddins
Steve Eddins 2020-11-11
Borys, I tackled your problem and wrote a blog post about it:

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