Automated Conversion of 2D Triangular Mesh into Quadrilateral Mesh with Directionality Control
Automated Conversion of 2D Triangular Mesh into Quadrilateral Mesh with Directionality Control
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发表时间：
1998
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通讯作者：
T. Itoh;K. Shimada;Keisuke Inoue;Atsushi Yamada;T. Furuhata
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作者：
T. Itoh;K. Shimada;Keisuke Inoue;Atsushi Yamada;T. Furuhata
提出了一种基于三角形网格转换的四边形网格自动划分技术。给定一个三角形网格和一个矢量场表示所需的方向性的四边形元素，我们的新方法生成一个良好的形状和对齐的四边形网格。该方法首先计算每对相邻三角形单元的三个标量函数的值。这些功能评估以下条件：（1）方向性控制，（2）元素形状的优化，以及（3）减少孤立三角形元素的数量。三角形单元对，然后转换成四边形单元的三个功能的值之和的顺序。
This paper proposes an automated quadrilateral meshing technique based on the conversion of triangular meshes. Given a triangular mesh and a vector eld representing the desired directionality of quadrilateral elements, our new approach generates a well-shaped and well-aligned quadrilateral mesh. In the approach, the values of three scalar functions are rst calculated for each pair of adjacent triangular elements. These functions evaluate the following conditions: (1) directionality control, (2) optimization of the shapes of elements, and (3) reduction of the number of isolated triangular elements. Pairs of triangular elements are then converted into quadrilateral elements in order of the sum of the values of the three functions.