Topology-aware hexahedral mesh generation based on singularities of3D tensor fields

本研究项目旨在构建一种对输入的2D和3D对象进行四边形和六面体网格分解的算法，该算法由四边形和六面体组成。这是一个将输入对象转换为离散表示的重要过程，特别是在有限元分析中。我们的思想是在输入对象内合成一个合适的张量场，并通过在底层张量场上定位退化来控制整个网格拓扑。这成功地引导我们生成高质量的四边形和六面体网格。

This research project aims at composing an algorithm fordecomposing the input 2D and 3D objects quadrilateral and hexahedral meshes, which aresets of quadrilaterals and hexahedra. This is an important process for transforming inputobjects into their discrete representations especially for finite element method analysis.Our idea is to synthesize an appropriate tensor field within the input object, and controlthe overall mesh topology by locating the degeneracy on the underlying tensor field. Thissuccessfully leads us to the generation of high-quality quadrilateral and hexahedralmeshes.