关键词: 计算几何, 三维打印, 结构优化, 有限元分析

Abstract: To ensure the quality of 3D printing products and reduce their consumption of materials,a novel method for the interior space optimization of 3D printing model was proposed.An offset mesh inside a given closed triangular mesh model was generated and simplified to a coarser mesh with size-similar triangles under a pre-defined constraint condition.Then a kind of supported structure,which shape was similar to a triangular pyramidal grid with characters of centroidal Voronoi tessellations was generated in the interior of coarse model.The given original mesh,the constructed offset mesh and the supported structure were combined together to form the expected 3D printing model.Experiments showed that the proposed method could deal with various watertight 3D printing models with different geometry and topology.The optimized geometry models were easy to be printed,and had smaller volume compared to the original models and stronger than shell models with the same volume.

Key words: computational geometry, 3D printing, structure optimization, finite element analysis