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各务异性网格生成及其在曲面三角化中的应用

DOI: 10.11834/jig.200209300

Keywords: 各向异性网格,Delaunay三角化,曲面三角化,椭圆距离,网格生成技术,科学计算可视化

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Abstract:

网格生成技术在工程分析,科学计算可视化等领域有着重要的意义,为了快速进行曲面三角化,提出了一种二维各向异性网格生成方法,通过引入椭圆距离和椭圆矩阵,定义了三角形的外接椭圆,从而将Delaunay三角化方法扩展到各向异性环境中,并讨论了各向异性网格的性质,随后将各向异性网格方法应用在曲面三角化当中,并将曲面的第一基本形式作为参数域的椭圆矩阵,同时给出了曲面Delaunay三角化的定义,从而成功地利用了各向异性网格方法对曲面进行三角化,实践证明,不仅其速度要大大快于传统的三角化方法,并且该方法能统一处理各种二次曲面和裁剪NURBS曲面。

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