Realization of NURBS for Cranium in a Laser Sintering Machine

Abstract

It is an issue in the application of Non-Uniform Rational B-Spline (NURBS) how to achieve the characteristic parameters based on a given curve. In this work, the parameterization method of accumulated chord length is used to construct the knot vector. The tangent vector is chosen as the boundary condition. The characteristic parameters including the control points, the knot vector and the weights are calculated according to the key points and corresponding weights of a given curve. An example of NURBS interpolation for cranium is given based on a selective laser sintering (SLS) machine. The characteristic parameters are obtained with Rhino software. The NURBS interpolation for cranium is realized using these characteristic parameters in the SLS machine. The results show that the practical sintering curve is coincident with the given curve.