• CN：11-2187/TH
  • ISSN：0577-6686
机械工程学报

›› 2005, Vol. 41 ›› Issue (5): 69-73.

• 论文 • 上一篇    下一篇

非四边(N边)域曲面造型方法的研究及在汽车外形设计中的应用

陈吉清;兰凤崇;林建国   

  1. 吉林大学汽车工程学院;伯明翰大学工程学院
  • 发布日期:2005-05-15

CONSTRUCTION OF NON-FOUR-SIDED PATCHES AND APPLICATION IN AUTOBODY DESIGN

Chen Jiqing;Lan Fengchong;Lin Jianguo   

  1. School of Automotive Engineering, Jilin University School of Engineering, University of Birmingham
  • Published:2005-05-15

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摘要： 在J.A.Gregory关于N边域曲面理论研究成果的基础上，提出了一种用B样条曲面理论来构造一般N边域曲面的方法。该方法的优点是，所构造的N边域曲面片能够插值于表达为三次B样条曲线的任意边界及其跨界导矢。首先根据Gregory曲面方法构造N边域曲面片，再利用计算得到的数据构造由n个矩形B样条曲面片构成的一阶几何连续的N边域曲面片。

关键词: NURBS, 车身外形设计, 非四边域曲面, 计算几何, 曲面拟合

Abstract: Method for constructing N-sided patches with B-spline on the basis of Gregory N-sided surface theory is presented. The attributes make the N-sided patches be able to interpolate the boundaries and derivatives over the boundaries which are represented with 3-ordered B-spline. Firstly Gregory method is used to construct a N-sided patch, and then, according to the patch’s data , an N-sided surface can be generated with n rectangular surface patches satisfying G1 continuity between those patches.

Key words: Autobody design, Computational geometry, Non-four-sided patch, NURBS, Surface fitting

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