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New techniques for enhanced medial axis based decompositions in 2-D

机译:二维中基于增强中轴分解的新技术

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摘要

New techniques are presented for using the medial axis to generate high quality decompositions for generating block-structured meshes with well-placed mesh singularities away from the surface boundaries. Established medial axis based meshing algorithms are highly effective for some geometries, but in general, they do not produce the most favourable decompositions, particularly when there are geometry concavities. This new approach uses both the topological and geometric information in the medial axis to establish a valid and effective arrangement of mesh singularities for any 2-D surface. It deals with concavities effectively and finds solutions that are most appropriate to the geometric shapes. Methods for directly constructing the corresponding decompositions are also put forward.
机译:提出了使用中轴生成高质量分解的新技术,该高质量分解用于生成块结构化的网格,且网格位置奇异,且远离表面边界。已建立的基于中轴的网格划分算法对于某些几何形状非常有效,但总的来说,它们不会产生最有利的分解,特别是当存在几何凹度时。这种新方法使用中轴的拓扑和几何信息来为任何二维表面建立有效且有效的网格奇点排列。它有效地处理凹面并找到最适合几何形状的解决方案。还提出了直接构造相应分解的方法。

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