Inverse Construction Methods of Heterogeneous NURBS Object Based on Additive Manufacturing

Abstract

According to the requirement of heterogeneous object modeling in additive manufacturing (AM), the Non-Uniform Rational B-Spline (NURBS) method has been applied to the digital representation of heterogeneous object in this paper. By putting forward the NURBS material data structure and establishing heterogeneous NURBS object model, the accurate mathematical unified representation of analytical and free heterogeneous objects have been realized. With the inverse modeling of heterogeneous NURBS objects, the geometry and material distribution can be better designed to meet the actual needs. Radical Basis Function (RBF) method based on global surface reconstruction and the tensor product surface interpolation method are combined to RBF-NURBS inverse construction method. The geometric and/or material information of regular mesh points is obtained by RBF interpolation of scattered data, and the heterogeneous NURBS surface or object model is obtained by tensor product interpolation. The examples have shown that the heterogeneous objects fitting to scattered data points can be generated effectively by the inverse construction methods in this paper and 3D CAD models for additive manufacturing can be provided.

DDSM: Design-Oriented Dual-Scale Shape-Material Model for Lattice Material Components

“…For example, The B-spline volume is utilized to represent the shape-material model. Additionally, the material information of the model is attached to each control point [ 17 , 18 ]. Second, the implicit functions are used to represent point set geometry and the material distribution.…”

Introduction to the Special Issue on Design and Simulation in AdditiveManufacturing

“…Computer-aided means are feasible methods to realize the design, analysis, and integrated manufacturing of heterogeneous material parts, but they work ef ciently only when the geometry and material information of heterogeneous material parts are expressed in a completely digital way. Zang et al [8] proposed a new heterogeneous object modeling method based on the Non-Uniform Rational B-Spline (NURBS) method to realize the inverse construction of heterogeneous objects. The new modeling method enables the geometry and material distribution to be better designed according to the actual need, making AM design easier and more practical.…”