论文标题

3D网格生成的自动保留尺寸字段

Automatic feature-preserving size field for 3D mesh generation

论文作者

Bawin, Arthur, Henrotte, François, Remacle, Jean-François

论文摘要

本文提出了一种旨在大大减轻复杂3D域高质量网格的方法。我们表明,整个网格生成过程只能使用五个参数来控制,以在一个中风质量网格中生成任意几何形状。主要想法是构建一个网格尺寸字段$ h(x)$,考虑到几何的本地特征,例如曲线。然后将网格大小信息从表面传播到卷中,以确保始终控制$ \ vert \ nabla h \ vert $的幅度,以获得平滑的分级网格。由于网格尺寸字段存储在独立的OCTREE数据结构中,因此可以单独计算函数h,然后插入任何能够尊重规定的网格尺寸字段的网格发电机。从需要与用户的最小交互的意义上说,整个过程是自动的。然后,根据从非常大的ABC数据集中获取的模型的应用程序进行示例,然后呈现所有用相同的通用参数值处理,以证明技术的效率和普遍性。

This paper presents a methodology aiming at easing considerably the generation of high-quality meshes for complex 3D domains. We show that the whole mesh generation process can be controlled with only five parameters to generate in one stroke quality meshes for arbitrary geometries. The main idea is to build a meshsize field $h(x)$ taking local features of the geometry, such as curvatures, into account. Meshsize information is then propagated from the surfaces into the volume, ensuring that the magnitude of $\vert \nabla h \vert$ is always controlled so as to obtain a smoothly graded mesh. As the meshsize field is stored in an independent octree data structure, the function h can be computed separately, and then plugged in into any mesh generator able to respect a prescribed meshsize field. The whole procedure is automatic, in the sense that minimal interaction with the user is required. Applications examples based on models taken from the very large ABC dataset, are then presented, all treated with the same generic set of parameter values, to demonstrate the efficiency and the universality of the technique.

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