I want to try to quantify if the distribution of holes over a surface is uniform or not. The holes can have any given shape and can be arranged in any way over the surface.
Three examples are provided below:
Imagine that all the surfaces have the same length and height, and all the surfaces have the same total area of holes. One can argue that surfaces 1 and 2 have a much more uniform hole distribution than surface 3.
I'm having trouble however in finding a way to quantify this hypothetical "uniformity" parameter. I don't have enough knowledge of abstract math like topology and such (my background is engineering), so tackling this problem is difficult to me.
I'm a capable programer, and my idea is to build a MATLAB script to do quantify the uniformity of a given surface, following some yet unknown algorithm.
Does anyone know about this topic, or have any good sources I can consult?
Thank you.