Design and Geometric Characterization of Three-Dimensional Gradient Heterogeneous Bone Tissue Structures Based on Voronoi

Abstract

Bone tissue is one of the most transplanted tissues. During transplantation, additive manufacturing enables fast and efficient production and fabrication of shaped external implants, and designing porous interconnected bionic external implants is the focus and difficulty of bone tissue engineering. Based on Voronoi geometry to design a bone tissue structure with hole position gradient—Voronoi gradient structure (VFGM, Voronoi functional gradient materials), the design hole center conforms to the uniform gradient probability spatial distribution, and the boundary in 3D Voronoi is calculated with the hole center as the bone trabecular skeletal. It can be used to design a variety of heterogeneous structures to match with the damaged location. The heteromorphic VFGM structure is highly similar to the human bone structure and can provide geometric design for bone tissue engineering external implants.