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There are even more problems than overlapping spheres in a clump. The physically relevant volume of a clump would include the voids *inside* a clump (between spheres that make it) as a solid volume.
Oh, yes, that too... I didn't realize.It seems CGAL arrangements could solve both problems at the same time, but I have no clue how it works :
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Envelope_3/Chapter_main.html
/"34.3.2 Example for Envelope of Spheres/
/ The next example demonstrates how to instantiate and use the
envelope-traits class for spheres, based on the //Arr_conic_traits_2
<http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Arrangement_on_surface_2_ref/Class_Arr_conic_traits_2.html#Cross_link_anchor_1215>
class that handles the projected intersecion curves. The program reads a
set of spheres from an input file and constructs their lower envelope:"/
Bruno
This is because the voids inside a clump do not ever participate in ''spare voids'' volume. After all a clump is supposed to simulate a rough grain or such thing. If you take a real very rough grain, you will never add the pores inside it to total volume of ''spare voids'' in the sample. The inner voids of a clump are a solid volume.
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