应用科学学报 ›› 2002, Vol. 20 ›› Issue (2): 173-177.

• 论文 • 上一篇    下一篇

基于截面测量数据的B样条曲面重建

张丽艳, 周来水, 蔡炜斌, 周儒荣   

  1. 南京航空航天大学CAD/CAM工程研究中心, 江苏南京 210016
  • 收稿日期:2001-06-01 修回日期:2001-09-08 出版日期:2002-06-30 发布日期:2002-06-30
  • 作者简介:张丽艳(1967-),女,辽宁宽甸人,副教授,博士;周来水(1962-),男,河北唐县人,教授,博导;周儒荣(1935-),男,福建长汀人,教授,博导.
  • 基金资助:
    国家自然科学基金资助项目(59905013);江苏省自然科学基金资助项目(BK2001408);航空科学基金资助项目(98H52095)

B-spline Surface Reconstruction Based on Digitized Section Data

ZHANG Li-yan, ZHOU Lai-shui, CAI Wei-bin, ZHOU Ru-rong   

  1. Research Center of CAD/CAM Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, China
  • Received:2001-06-01 Revised:2001-09-08 Online:2002-06-30 Published:2002-06-30

摘要: 研究了逆向工程中截面测量数据的B样条曲面拟合问题.结合二分法和最小二乘法,提出并实现了截面数据的B样条曲面拟合算法.该算法在满足指定精度的条件下,对测量数据有较大的压缩率,适合工程应用.应用实例表明算法稳定、可靠、高效.

关键词: 逆向工程, 曲面重建, 曲面拟合, B样条

Abstract: Digital model reconstruction based on coordinate measuring of existing physical objects is widely used in a variety of situations. The data obtained through popular measuring machines, such as laser scanners, are mostly digitized data organized in sections. In this paper, the problem of B-spline surface fitting based on digitized section data is addressed. An algorithm, which combined bisection and least square method, is put forward. The algorithm can greatly compress the digitized points and generate compact-surface representation while satisfying the given tolerance. Examples in the paper show that the algorithm is effective and practical.

Key words: surface reconstruction, surface fitting, B-spline, reverse engineering

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