I am computing some partitions in my work and would like to be able to extract informations in an automatic way when given a certain partition structure. To see what I have in mind, look at the photos attached below.
Given the partition I can easily extract contours in 2D or triangulations of the surface of the cells in 3D.
Are there any "classic", not too complicated to implement methods which can put such objects (contours, surface triangulations) into classes which are similar modulo euclidean transformations?
In 2D the cells are close to being polygons, so extracting information in the number of neighbors can give a rough classification (pentagons, hexagons,...). In 3D, however things get more complicated and that is what interests me most.