Table of Content

Open Access iconOpen Access



Inverse Construction Methods of Heterogeneous NURBS Object Based on Additive Manufacturing

Ting Zang1, Dongbin Zhu2,*, Guowang Mu1

1 School of Science, Hebei University of Technology, Tianjin, 300130, China
2 School of Mechanical Engineering, Hebei University of Technology, Tianjin, 300130, China

* Corresponding Author: Dongbin Zhu. Email: email

(This article belongs to this Special Issue: Design & simulation in Additive Manufacturing)

Computer Modeling in Engineering & Sciences 2020, 125(2), 597-610.


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.


Cite This Article

Zang, T., Zhu, D., Mu, G. (2020). Inverse Construction Methods of Heterogeneous NURBS Object Based on Additive Manufacturing. CMES-Computer Modeling in Engineering & Sciences, 125(2), 597–610.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 2474


  • 1657


  • 0


Share Link