The method used to compress the contents of the digital image is related to the density of the details and information of the image or its parts
Machine Vision is key to that. Follow keywords like saliency, visual attention, etc.
You might also take a look at the following papers. They are old but may help you to find your way around.
Suggested papers:
Article Saliency, attention, and visual search: An information theor...
Article BING: Binarized normed gradients for objectness estimation a...
Bushra A. Sultan
In the realm of image codec/compression, entropy is probably what you are looking for.
Try using threshold, it will be helpful to measure the density
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