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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  HTML
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.
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．
出版日期: 2010-02-26
:  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/eng/CN/10.3785/j.issn.1008-973X.2010.01.008    或    http://www.zjujournals.com/eng/CN/Y2010/V44/I1/41

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