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浙江大学学报(工学版)
J4  2010, Vol. 44 Issue (1): 41-45+117    DOI: 10.3785/j.issn.1008-973X.2010.01.008
计算机科学技术     
N边域大区域曲面逼近及其裁剪计算技术
徐进1,2,柯映林1
（1.浙江大学 机械工程学系,浙江 杭州 310027; 2.浙江科技学院 机械与汽车工程学院，浙江 杭州 310023）
Large surface fitting and trimming techniques forN-sided regions filling
XU Jin1,2, KE Ying-lin1
(1.Departmentof MechanicalEngineering, Zhejiang University, Hangzhou 310027, China; 2. School of Mechanical and
 Automotive Engineering, Zhejiang University of Science and Technology, Hangzhou 310023, China)
 全文: PDF 
摘要：

针对反求工程中出现的N边域问题,提出一种用大四边域曲面进行曲面逼近,再对其进行裁剪计算的N边域填充方法.在N边域周围曲面上构造曲线,对周围各曲面逐一裁剪后得到一个包含N边域在内的空间大四边形区域.将周围曲面分别进行均匀离散化得到大区域内完整的离散约束点,拟合一张B样条曲面，使得它插值于大区域边界处的离散位置和法矢约束，并且逼近大区域内的所有约束点.将大区域曲面进行裁剪得到用于填充N边域的裁剪曲面,并以大区域曲面为基准对周围各曲面进行重逼近,使得填充后模型各曲面之间达到近似G1连续,同时在整体上保持了模型原有的拓扑结构.
关键词： N边域;  曲面拟合;  拓扑还原;  反求工程    
Abstract:

A new method based on large surface fitting and topology recovery techniques was proposed to deal with the problem of N-sided regions filling in reverse engineering, which appears occasionally in the reconstruction of complex CAD models. Curveswere constructed on the surrounding surfaces of the N-sided region, and subsequently the surrounding surfaces were trimmed to obtain a large quadrilateral region which including the N-sided region. Then, all the surrounding surfaces were evenly sampled and a B-spline surface was constructed, by interpolating the discrete boundary constraints and approximating all the points in the quadrilateral region. Finally, the B-spline surface was trimmed and all the surrounding surfaces were refitted subjected to the constraints of points sampled from the B-spline surface. The final model is approximate G1 continuous in global sense, and it keeps the same topology as the original model．
Key words: N-sided region    surface fitting    topology recovery    reverse engineering
出版日期: 2010-02-04
:  TP 391  
基金资助:

国家自然科学基金资助项目（50575098）．
通讯作者: 柯映林，男，教授，博导.     E-mail: ylke@zju.edu.cn
作者简介: 徐进（1981-），男，江西上饶人，讲师，博士，从事反求工程、CAD、CAGD研究.
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引用本文:

徐进, 柯映林. N边域大区域曲面逼近及其裁剪计算技术[J]. J4, 2010, 44(1): 41-45+117.

XU Jin, KE Yang-Lin. Large surface fitting and trimming techniques forN-sided regions filling. J4, 2010, 44(1): 41-45+117.

链接本文:

http://www.zjujournals.com/xueshu/eng/CN/10.3785/j.issn.1008-973X.2010.01.008    或    http://www.zjujournals.com/xueshu/eng/CN/Y2010/V44/I1/41

［1］ PIEGL L A, TILLER W. Filling n-sided regions with NURBS patches ［J］. The Visual Computer, 1999, 15(2): 77-89．
［2］ YANG Y J, YONG J H, ZHANG H, et al. A rational extension of Piegl's method for filling n-sided holes ［J］. Computer-Aided Design, 2006, 38(11): 1166-1178．
［3］ MA W, ZHAO N. Catmull-Clark surface fitting for re-verse engineering applications ［C］∥ Proceedings of the Geometric Modeling and Processing. Washington D.C.: IEEE, 2000: 274-283．
［4］ SUZUKI H, TAKEUCHI S, KANAI T. Subdivision surface fitting to a range of points ［C］∥ Proceedings of the 7th Pacific Conference on Graphics and Applications. Washington D.C.: IEEE, 1999: 158-167．
［5］ RENNER G, WEI V. Exact and approximate computation of B-spline curves on surfaces ［J］. Computer-Aided Design, 2004, 36(4): 351-362．
［6］ YANG Y J, CAO S, YONG J H, et al. Approximate computation of curves on B-spline surfaces ［J］. Computer-Aided Design, 2008, 40(2): 223-234．
［7］ KONNO K, TOKUYAMA Y. A G1 connection around complicated curve meshes using C1 NURBS boundary Gregory patches ［J］. Computer-Aided Design, 2001, 33(4): 293-306．
［8］ 贾明,吕震,李永青,等. 基于B样条曲面裁剪计算的局部协调设计［J］. 机械工程学报, 2003, 39(2): 74-78．
JIA Ming, LV Zhen, LI Yong-qing, et al. Local coincided design based on trimmed B-spline surfaces ［J］. Chinese Journal of Mechanical Engineering, 2003, 39(2): 74-78．
［9］ KE Y L, FAN S Q, ZHU W D, et al. Feature-based reverse modeling strategies ［J］. Computer-Aided Design, 2006, 38(5): 485-506．
［10］ WEISS V, ANDOR L, RENNER G, et al. Advanced surface fitting techniques ［J］. Computer Aided Geometric Design, 2002, 19(1): 19-42．
［11］ 朱伟东. 反求工程中基于几何约束的模型重建理论及应用研究［D］. 杭州：浙江大学, 2007．
ZHU Wei-dong. Research on the theory and application of geometric constraint based model reconstruction in reverse engineering ［D］. Hangzhou: Zhejiang University, 2007．
［12］ PARK H, KIM K, LEE S C. A method for approximate NURBS curve compatibility based on multiple curve refitting ［J］. Computer-Aided Design, 2000, 32(4): 237-252．
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