基于网格模型的光滑B 样条曲面重建算法

华南理工大学学报（自然科学版） ›› 2007, Vol. 35 ›› Issue (12): 51-55.

基于网格模型的光滑B 样条曲面重建算法

顾步云¹周来水¹刘胜兰¹孙秀慧²

1.南京航空航天大学机电学院，江苏南京 210016; 2. 中兴通讯公司上海研发中心，上海 200233

收稿日期:2005-12-18 出版日期:2007-12-25 发布日期:2007-12-25
通信作者: 顾步云(1979-) ，男，博士生，主要从事逆向工程、CAD/CAM 研究. E-mail:gubuyun@126.com
作者简介:顾步云(1979-) ，男，博士生，主要从事逆向工程、CAD/CAM 研究.
基金资助:
江苏省创新人才培养基金项目(BK2001408) ;航空科学基金项目(03H52059)

Algorithm for Smooth B-Spline Surface Reconstruction Based on Mesh Model

Gu Bu-yun¹Zhou Lai-shui¹Liu Sheng-lan¹Sun Xiu-hui²

1. College of Mechanical and Electrical Engineering， Nanjing Univ. of Aeronautics and Astronautics , Nanjing 210016 ， Jiangsu , China;2. ZTE Corporation Shanghai R & D Institute , Shanghai 200233 , China

Received:2005-12-18 Online:2007-12-25 Published:2007-12-25
Contact: 顾步云(1979-) ，男，博士生，主要从事逆向工程、CAD/CAM 研究. E-mail:gubuyun@126.com
About author:顾步云(1979-) ，男，博士生，主要从事逆向工程、CAD/CAM 研究.
Supported by:
江苏省创新人才培养基金项目(BK2001408) ;航空科学基金项目(03H52059)

摘要/Abstract

摘要： 提出并实现了一种基于网格模型的光滑B 样条曲面重建方法.首先研究并实现了网格模型上特征线的定义和优化方法，在此基础上提供了多种文王式编辑工具，使用户可以方便地构建出符合原始设计意图的四边界区域拓扑模型;最后在综合考虑拟合精度、光顺性和连续性等条件下实现了B 样条曲面的光滑拟合.实验证明算法的效率和曲面拟合质量都能较好地满足反求工程的要求.

关键词: 反求工程, 光滑B 样条曲面重建, 网格模型, 特征线, 四边界区域划分

Abstract:

This paper proposes and implements an approach to smooth B-Spline surface reconstruction based on the mesh model. In the investigation , a method to define and optimize the feature lines of the mesh model is studied and implemented. Then , a set of interactive editing tools are provided for users to freely construct the final quadrilateral patch topology model which suits the original design intent. Finally , a smooth B-spline surface is reconstructed by synthetically considering the fitting accuracy , the smoothness and the continuousness. Experimental results demonstrate that the proposed algorithm meets the requirements for reconstruction efficiency and surface fitting quality in reverse engineering.

Key words: reverse engineering, smooth B-spline surface reconstruction, mesh model, feature line, quadrilateral patch segmentation

顾步云周来水刘胜兰孙秀慧. 基于网格模型的光滑B 样条曲面重建算法[J]. 华南理工大学学报（自然科学版）, 2007, 35(12): 51-55.

Gu Bu-yun Zhou Lai-shui Liu Sheng-lan Sun Xiu-hui. Algorithm for Smooth B-Spline Surface Reconstruction Based on Mesh Model[J]. Journal of South China University of Technology (Natural Science Edition), 2007, 35(12): 51-55.