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应用科学学报 ›› 2003, Vol. 21 ›› Issue (3): 258-262.

• 论文 • 上一篇    下一篇

基于曲率数据的曲线拟合方法研究

吴家麒, 杨东英, 沈林勇, 陈建军   

  1. 上海大学机自学院 上海 200072
  • 收稿日期:2002-08-27 修回日期:2002-11-05 出版日期:2003-09-10 发布日期:2003-09-10
  • 作者简介:吴家麒(1949-),男,上海人,副教授.
  • 基金资助:
    国家863计划(2001AA422180);国家自然科学基金(50075050)资助项目

Research on the Curve-Fitting Method Based on Curvature Data

WU Jia-qi, YANG Dong-ying, SHEN Lin-yong, CHEN Jian-jun   

  1. School of Electromechanical Engineering & Automation, Shanghai University, Shanghai 200072, China
  • Received:2002-08-27 Revised:2002-11-05 Online:2003-09-10 Published:2003-09-10

PDF

267

被引次数

102

摘要： 从肠道内窥检查中镜体模型重建的需要出发,介绍了基于曲率数据的曲线拟合方法.首先完成了从线应变到曲率的转换,以及从离散曲率到连续曲率的插值;然后用微分几何的方法,研究得出了三种基于曲率积分的曲线拟合方法;并在对这些拟合方法进行试算验证的同时,分析了拟合误差产生的原因,以及相应的减小拟合误差的若干措施.

关键词: 曲率, 曲线拟合, 内窥检查, 模型重建

Abstract: This paper presents the curve-fitting methods based on the curvature data, to meet the requirement of the modei reconstruction of the endoscope. After the transformation from linear strain to curvature and the curvature linear interpolation, three methods based on curvature inte-gral are developed for curve fitting by means of the differential geometrv method. A test is carried out to validate the curve fitting methods and analyse the causes of errors. Finally some measures to reduce the fitting errors are suggested.

Key words: curvature, modei reconstruction, curve fitting, endoscopy

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