Graphic mapping on NURBS surface based on knot vector matching

doi:10.3778/j.issn.1002-8331.2009.01.002

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (1): 7-9.DOI: 10.3778/j.issn.1002-8331.2009.01.002

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Graphic mapping on NURBS surface based on knot vector matching

LI Xue-yi^1,2,WANG Zhao¹,LIAN Xiao-min¹

1.Depatment of Automotive Engineering，Tsinghua University，Beijing 100084，China
2.College of Mechanical and Electronic Engineering，Shandong University of Science &Technology，Qingdao，Shandong 266510，China

Received:2008-08-25 Revised:2008-10-14 Online:2009-01-01 Published:2009-01-01
Contact: LI Xue-yi

平面图形在NURBS曲面上的映射

李学艺^1,2,王钊¹,连小珉¹

1.清华大学汽车工程系，北京 100084
2.山东科技大学机械电子工程学院，山东青岛 266510

通讯作者: 李学艺

Abstract

Abstract: Aiming at the poor practicability of existing surface graphic mapping methods，A new graphic mapping technique on a NURBS surface is presented.Based on the shape of the surface，a planar graph is designed or selected firstly，the extreme positions of the planar graph are then determined.According to the location and size of the final mapping graph on the NURBS surface，the knot vectors and limit parameters of the surface are modified to match the planar graph，then all the elements in the planar graph are inserted into the parameter domain of the surface.The mapping graph on surface is achieved by NURBS theory.The examples show that the proposed method is simple and stable and it has stronger adaptability and practicability.

Key words: NURBS surface, mapping, matching, knot vector, parameter domain

摘要： 针对现有曲面图形映射方法实用性不强的缺陷，提出了一种NURBS曲面图形映射方法。基于曲面外形设计或选取适当的平面图形，求出平面图形在坐标平面内的极限位置，根据曲面上映射图形的位置和大小对NURBS曲面的节点向量和首末参数进行调整，将平面图形嵌入NURBS曲面参数域的相应位置，利用NURBS理论将平面图形从曲面参数域映射到曲面。验证实例表明，算法原理简单、性能稳定，具有较强的适应性和实用性。

关键词: NURBS曲面, 映射, 匹配, 节点向量, 参数域

LI Xue-yi^1,2,WANG Zhao¹,LIAN Xiao-min¹. Graphic mapping on NURBS surface based on knot vector matching[J]. Computer Engineering and Applications, 2009, 45(1): 7-9.

李学艺^1,2,王钊¹,连小珉¹. 平面图形在NURBS曲面上的映射[J]. 计算机工程与应用, 2009, 45(1): 7-9.

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Graphic mapping on NURBS surface based on knot vector matching

平面图形在NURBS曲面上的映射

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