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NURBS边界曲面直接生成法
引用本文:王若莹,邵利平. NURBS边界曲面直接生成法[J]. 计算机应用, 2008, 28(1): 174-176,
作者姓名:王若莹  邵利平
作者单位:西安通信学院,基础部,西安,710106;西安交通大学,电子与信息工程学院,西安,710049;西安交通大学,电子与信息工程学院,西安,710049
摘    要:由于非均匀有理B样条(NURBS)曲面的复杂性,传统NURBS边界曲面的生成是先构造孔斯曲面,再由孔斯曲面向NURBS曲面转换得到,其操作过程比较烦琐。针对此问题,提出了NURBS边界曲面直接生成算法,该算法根据给定的四条NURBS边界曲线,结合孔斯曲面生成方法直接插值生成NURBS曲面,从而避免了通过孔斯曲面向NURBS曲面转换所带来的计算代价,因此同传统方法相比,具有较低的计算代价。实验结果表明:该算法简化了曲面生成步骤,减少了曲面转换过程的计算量,生成的曲面边界信息明确,且连续性好。

关 键 词:非均匀有理B样条  边界曲面  孔斯曲面  节点矢量
文章编号:1001-9081(2008)01-0174-03
收稿时间:2007-08-01
修稿时间:2007-08-01

Direct generation method of NURBS boundary surface
WANG Ruo-ying,SHAO Li-ping. Direct generation method of NURBS boundary surface[J]. Journal of Computer Applications, 2008, 28(1): 174-176,
Authors:WANG Ruo-ying  SHAO Li-ping
Affiliation:WANG Ruo-ying1,2,SHAO Li-ping2(1.Department of foundation,Xi'an Communications Institute,Xi'an Shaanxi 710106,China,2. School of Electronic , Information Engineering,Xi'an Jiaotong University,Xi'an Shaanxi 710049,China)
Abstract:Because of the complexity of Non-Uniform Rational B-splines (NURBS) surface, the conventional NURBS surface generation method usually first constructs a Coons surface and then changes it into NURBS surface, which adds the operation complexity. To address this problem, an NURBS boundary surface direct generation method was proposed, which can directly construct a NURBS boundary surface by using four NURBS boundary curves. Compared with the traditional method,it need not convert Coons surface to NURBS surface...
Keywords:Coons surface  knot vector  NURBS  boundary surface
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