计算机应用

• 图形与图像处理(Graphics and image proces • 上一篇    下一篇

带形状参数的C1连续的三角Coons曲面片

吴晓勤 韩旭里 罗善明   

  1. 湖南科技大学数学与计算科学学院,中南大学数学科学与计算技术学院 中南大学数学科学与计算技术学院 湖南科技大学机电工程学院
  • 收稿日期:2008-06-20 修回日期:2008-08-08 发布日期:2008-12-01 出版日期:2008-12-01
  • 通讯作者: 吴晓勤

C1-continuous triangular Coons patches with shape parameter

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  • Received:2008-06-20 Revised:2008-08-08 Online:2008-12-01 Published:2008-12-01
  • Contact: Xiao-Qin WU

摘要: 针对三角形域上超限插值的曲面缺乏形变的特点,利用两类带形状参数的Hermite多项式构造C1连续的两种格式的带形状参数的Coons曲面片。构造的三角曲面片均含有形状参数λ,调整λ的值,可改变曲面的内部形状,而不影响曲面的边界形状;当λ=0时,可退化为通常的边-边与边-点格式插值的曲面片。最后,实例验证了该方法的有效性。

关键词: 三角曲面片, 超限插值, Hermite多项式, 形状参数, 边-边格式, 边-点格式

Abstract: In order to improve the transfinte interpolation surfaces, two kinds of C1-continuity Coons patches with shape parameter were constructed by two classes of λ-Hermite polynomial functions on triangles. Triangular Coons patches with shape parameter were the extensions of side-side scheme and side-vertex scheme. These shapes depended on shape parameter λ and degenerated the triangular Coons patches under λ=0.With changing the value of λ,the interior shape of the patches could be adjusted, but the boundary shape of the patches was not influenced. At last,examples illustrate that the scheme of constructing surface is very useful for surface design.

Key words: triangular patche, transfinte interpolation, Hermite polynomial, shape parameter, side-side scheme, side-vertex scheme