I suppose that there are algorithms out there that can determine the orderliness of an image. If not, I can propose one: perform edge finding on the image; convert the edges to vectors, using a trace function like that found in Illustrator; then compare the vector image to the edge tracing--the closer the resemblance, the more orderly the original image.

This is relying on an untested assumption: the more orderly the edge-tracing, the better it could be rendered by the vectorizing function. The trace algorithm has setting that determines the accuracy it can achieve tracing the image. If these settings are set for lower accuracy, the results are simple forms. A more orderly edge-tracing would be more accurately represented by simple forms than a disorderly one.

So to what purpose could I use this algorithm? Well, I’d have a camera that would analyze the neatness of my kitchen. When things got messy, the fridge would lock until someone cleaned things up.