crunch the color precision and apply dithering to avoid banding, but if you DO want banding it CAN be a cool art direction choice
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the deflicker filter is a big part of why the image on GC is blurry - the blend_v function blends the pixel with its vertical neighbours. Then composite-cable emulation and CRT emulation
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and a comparison of every step together in a few different configurations
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Full video if you have that kind of time or want a single reference
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I collected some sources here and will try to make it more comprehensive as I'm sure more will be relevant as I learn and correct the approach