NURBS curve and surface fitting for reverse engineering |
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Authors: | Dr W Ma J -P Kruth |
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Affiliation: | (1) Division of Production Engineering, Machine Design and Automation, Katholieke Universiteit Leuven, Heverlee, Belgium;(2) Department of Manufacturing Engineering and Engineering Management, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong Kong |
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Abstract: | 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. |
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Keywords: | B-splines CAD NURBS Reverse engineering |
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