This article presents a methodology aiming at easing considerably the generation of high-quality meshes for complex three-dimensional (3D) domains. To this end, a mesh size field h(x) is computed, taking surface curvatures and geometric features into account. The size field is tuned by five intuitive parameters and yields quality meshes for arbitrary geometries. Mesh size is initialized on a surface triangulation of the domain based on discrete curvatures and medial axis transform computations. It is then propagated into the volume while ensuring the size gradient ∇h is controlled so as to obtain a smoothly graded mesh. As the size field is stored in an independent octree data structure, it can be computed separately, then plugged into any mesh generator able to respect a prescribed size field. The procedure is automatic, in the sense that minimal interaction with the user is required. Applications of our methodology on CAD models taken from the very large ABC dataset are presented. In particular, all presented meshes were obtained with the same generic set of parameters, demonstrating the universality of the technique.

中文翻译：

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用于三维网格生成的自动特征保留大小字段

本文提出了一种方法，旨在大大简化为复杂的 3D (3D) 域生成高质量网格的过程。为此，计算网格大小场h ( x )，同时考虑表面曲率和几何特征。尺寸字段由五个直观的参数调整，并为任意几何生成高质量的网格。网格大小基于离散曲率和中轴变换计算在域的表面三角剖分上初始化。然后将其传播到体积中，同时确保尺寸梯度 ∇ h控制以获得平滑渐变的网格。由于大小字段存储在独立的八叉树数据结构中，因此可以单独计算，然后插入任何能够遵守规定大小字段的网格生成器。该过程是自动的，因为需要与用户进行最少的交互。介绍了我们的方法在从非常大的 ABC 数据集获取的 CAD 模型上的应用。特别是，所有呈现的网格都是使用相同的通用参数集获得的，证明了该技术的普遍性。