Filling objects densely with sets of non overlapping spheres has been investigated for centuries. Once started as a pure intellectual challenge, today, sphere packings have diverse applications in a wide spectrum of scientific and engineering disciplines, for example in automated radiosurgical treatment planning, investigation of processes such as sedimentation, compaction and sintering, in powder metallurgy for three-dimensional laser cutting, in cutting different natural crystals, the discrete element method is based on them, and so forth.
['Rene Weller', 'Gabriel Zachmann']
ProtoSphere: a GPU-assisted prototype guided sphere packing algorithm for arbitrary objects