Polyhedral Voronoi diagrams for additive manufacturing

Jonàs Martínez 1, 2 Samuel Hornus 1, 2 Haichuan Song 2 Sylvain Lefebvre 1, 2
1 MFX - Matter from Graphics
LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry, Inria Nancy - Grand Est
2 ALICE - Geometry and Lighting
Inria Nancy - Grand Est, LORIA - ALGO - Department of Algorithms, Computation, Image and Geometry
Abstract : A critical advantage of additive manufacturing is its ability to fabricate complex small-scale structures. These microstructures can be understood as a metamaterial: they exist at a much smaller scale than the volume they fill, and are collectively responsible for an average elastic behavior different from that of the base printing material making the fabricated object lighter and/or flexible along specific directions. In addition, the average behavior can be graded spatially by progressively modifying the microstructure geometry. The definition of a microstructure is a careful trade-off between the geometric requirements of manufacturing and the properties one seeks to obtain within a shape: in our case a wide range of elastic behaviors. Most existing microstructures are designed for stereolithography (SLA) and laser sintering (SLS) processes. The requirements are however different than those of continuous deposition systems such as fused filament fabrication (FFF), for which there is currently a lack of microstructures enabling graded elastic behaviors. In this work we introduce a novel type of microstructures that strictly enforce all the requirements of FFF-like processes: continuity, self-support and overhang angles. They offer a range of orthotropic elastic responses that can be graded spatially. This allows to fabricate parts usually reserved to the most advanced technologies on widely available inexpensive printers that also benefit from a continuously expanding range of materials.
Keywords : Shape modeling fused deposition modeling Microstructure Polyhedral distance additive manufacturing 3D printing Voronoi diagram
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Jonàs Martínez, Samuel Hornus, Haichuan Song, Sylvain Lefebvre. Polyhedral Voronoi diagrams for additive manufacturing. ACM Transactions on Graphics, Association for Computing Machinery, 2018, Proceedings of SIGGRAPH 2018, 37 (4), pp.15. ⟨10.1145/3197517.3201343⟩. ⟨hal-01697103v2⟩

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