NURBS curve and surface fitting for reverse engineering



Reverse engineering is an approach for constructing a computer-aided design (CAD) model from a physical part through dimensional measurement and surface modelling. This paper presents alternatives for reverse engineering of free-form parts using Non-Uniform Rational B-Spline (NURBS) surfaces. A two-step linear approach is employed for fitting NURBS curves and surfaces using the measured points. During the first step, the weights of the control points are identified from a homogeneous system using symmetric eigenvalue decomposition. The control points are further processed in a way similar to B-spline curve and surface fitting. Some examples are presented to illustrate both the steps of reverse engineering and the process of NURBS curve and surface fitting.


B-splines CAD NURBS Reverse engineering 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 1998

Authors and Affiliations

  1. 1.Division of Production Engineering, Machine Design and AutomationKatholieke Universiteit LeuvenHeverleeBelgium
  2. 2.Department of Manufacturing Engineering and Engineering ManagementCity University of Hong KongKowloon, Hong Kong

Personalised recommendations