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3D printers based on the Fused Decomposition Modeling create objectslayer-by-layer dropping fused material. As a consequence, strong overhangscannot be printed because the new-come material does not find a suitablesupport over the last deposed layer. In these cases, one can add some supportstructures (scaffolds) which make the object printable, to be removed at theend. In this paper we propose a level set method to create object-dependentsupport structures, specifically conceived to reduce both the amount ofadditional material and the printing time. We also review some open problemsabout 3D printing which can be of interests for the mathematical community.

A level set based method for fixing overhangs in 3D printing