Rotating Surface Reconstruction In Reverse Engineering Algorithm Research

Reverse Engineering is becoming an important field in Computer Aided Geometric Design. It also has profound impact on traditional industry and the development of manufacture technology. Surface of revolution is very common in industry models. So the reconstruction of surface of revolution becomes a necessary task in reverse engineering. The speciality of such surfaces and the development of the new theory and technique in Computer Aided Geometric Design make it easy for the solution to this task. In this paper, we take the reconstruction of surface of revolution as our main aim, and by using the Delaunay Triangulation, the definition of curvature and the theory of B-Spline, we present a way of reconstructing surface of revolution from point cloud. The main content of this paper is given in the following.Computer Aided Geometric Design and Reverse Engineering are the basis of this article. So a brief review on these two subjects is given in the first chapter. Also there is a short report on the status of researches on the reconstruction of surfaces of revolution.As the algorithm introduced here depends on the Delaunay Triangulation, the definition of curvature in free-form surfaces and B-Spline, the second chapter concentrates on the introduction of these theories.The reconstruction algorithm is presented in detail in the third chapter, including the computing of axis and the reconstruction of generatrix. Then two examples are given to show the effectiveness and veracity of the algorithm.