I am trying to estimate the fractal dimension of nanoaggregates, e.g. soot particles, using Fraclac box counting. But before calculating the Db for the actual particles I would like to test the algorithm with some simple test images.
Playing around with test images, such as a circle contour, I get Db = 1.0, as expected. But when I calculate the Db for a filled circle or a square I get Db = [1.7…1.8] and not 2.0, as I would expect.
Db = 1.0
Db = 1.78
Db = 1.71
All images were first binarized and then analyzed as monofractals. Tried many different options, such as minimum box size, number of positions for grids – no change. When I visualize the grid (“draw grids”), it looks fine.
Did someone encounter this problem, any thoughts?