The point is to use bits effectively and not waste them, by accounting for what usually happens on most displays and in our eyes & brains. If we don’t account for it, then (for example) a 1-bit difference between two bright colors means something very different from a 1-bit difference between two dark colors.
So what is “ground truth” exactly? We need to know what units we’re talking about; is it lumens, or “tristimulus” values (what we want our eyes to see), or LCD monitor voltages, or something else? First we have to agree on what ground truth means.
A big reason for common formats like PNG and JPEG to need color profiles is because 8 bits per channel is not enough color resolution unless you store the colors non-linearly. 8 bits is barely enough (or some would say almost enough) to represent low-dynamic-range images on TVs and monitors even when you have the colors gamma encoded or use a perceptual color space.
The problem with storing “ground truth” values for pixels in 8-bits-per-channel formats is that many experts would probably say this implies a linear color space. And a linear color space encoded in 8 bits leaves noticeable gaps between colors, such that you can see color banding if you try to render a smooth gradient. You lose up to 2 bits of color precision in some regions, notably the dark colors.
So, in order to not have color banding, we correct the colors before storing them by trying to make the colors have even steps between any 1-bit change in the spectrum. The color profile is just a record of what was done to correct the colors, so someone else can un-correct them as needed.
You might think we could do away with color profiles for high-dynamic-range images, but the non-linearity of our vision and our displays means that linear encodings are still inefficient with their bits even if you have 32 bits per channel.
So what is “ground truth” exactly? We need to know what units we’re talking about; is it lumens, or “tristimulus” values (what we want our eyes to see), or LCD monitor voltages, or something else? First we have to agree on what ground truth means.
A big reason for common formats like PNG and JPEG to need color profiles is because 8 bits per channel is not enough color resolution unless you store the colors non-linearly. 8 bits is barely enough (or some would say almost enough) to represent low-dynamic-range images on TVs and monitors even when you have the colors gamma encoded or use a perceptual color space.
The problem with storing “ground truth” values for pixels in 8-bits-per-channel formats is that many experts would probably say this implies a linear color space. And a linear color space encoded in 8 bits leaves noticeable gaps between colors, such that you can see color banding if you try to render a smooth gradient. You lose up to 2 bits of color precision in some regions, notably the dark colors.
So, in order to not have color banding, we correct the colors before storing them by trying to make the colors have even steps between any 1-bit change in the spectrum. The color profile is just a record of what was done to correct the colors, so someone else can un-correct them as needed.
You might think we could do away with color profiles for high-dynamic-range images, but the non-linearity of our vision and our displays means that linear encodings are still inefficient with their bits even if you have 32 bits per channel.