基于平面四边剖分的体参数化模型快速构建

Rapid Construction of Volume Parameterized Model Based on Plane Quadrilateral Division

摘要: 构建适用于等几何分析的体参数化模型过程中，存在操作繁琐、耗时长等突出问题，针对这些问题，本文提出一种基于平面四边剖分的体参数化模型快速构建的方法。首先，从草图中提取模型轮廓参数，利用提取到的参数构建曲线轮廓；其次，使用连接线自动添加算法，创建内外轮廓连接线，将存在亏格的模型转换为零亏格；然后，结合四边剖分算法对多边形轮廓进行剖分；最后，通过几何操作，将二维曲面映射到三维得到体参数化模型。实例表明该方法能够通过较少的模型参数快速得到全六面体参数化模型，明显提高了体参数化模型构建效率。

Abstract: In the process of building a volume parametric model suitable for isogeometric analysis, there are some prominent problems, such as tedious operation and long time. In order to solve these prob-lems, this paper proposes a rapid construction method of volume parametric model based on plane quadrilateral division. Firstly, the model contour parameters were extracted from the sketch, and the curves were constructed with the extracted parameters. Secondly, the connection line automat-ic addition algorithm is used to create the internal and external contour connection lines, and the model with defect is converted to zero defect. Then, the polygon contour is divided by the four-sided algorithm. Finally, through geometric operation, the two-dimensional surface is mapped to the three-dimensional body parameterized model. An example shows that this method can quickly ob-tain the full hexahedral parametric model with fewer model parameters and significantly improve the efficiency of volumetric parametric model construction.