Is there a maximum possible ratio of white/black pixels in an edge map?In my theoretical consideration all areas in an image which have the same intensity are black and only the edges are white. Hence, the white/black ratio must be theoretically smaller than 50/50 in any conceivable picture of our environment (In my opinion) as there are always areas with the same intensity and the edges cover these areas. What I'm searching for is a theoretical upper limit for this ratio.If I think about a 100x100 pixel array where e.g. every second line is a horizontal, vertical or both (checkerboard pattern) edge, I expect the  theoretical maximum ratio between white and black pixels to be 50/50?Anyway, does anyone know if there is a mathematical proof, paper or source where this problem is described?
Maximum Ratio of White/Black pixels in an Edge Map
complexity theory;artificial intelligence;computer vision