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Obtuse Triangle Suppression in Anisotropic Meshes | |
Sun, Feng; Choi, Yi-King; Wang, Wenping; Yan, Dong-Ming![]() | |
发表期刊 | Computer Aided Geometric Design
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2011 | |
卷号 | 28期号:9页码:537-548 |
摘要 |
Anisotropic triangle meshes are used for efficient approximation of surfaces and flow data
in finite element analysis, and in these applications it is desirable to have as few obtuse
triangles as possible to reduce the discretization error. We present a variational approach to
suppressing obtuse triangles in anisotropic meshes. Specifically, we introduce a hexagonal
Minkowski metric, which is sensitive to triangle orientation, to give a new formulation of
the centroidal Voronoi tessellation (CVT) method. Furthermore, we prove several relevant
properties of the CVT method with the newly introduced metric. Experiments show that
our algorithm produces anisotropic meshes with much fewer obtuse triangles than using
existing methods while maintaining mesh anisotropy. |
关键词 | Hex Metric |
文献类型 | 期刊论文 |
条目标识符 | http://ir.ia.ac.cn/handle/173211/14012 |
专题 | 多模态人工智能系统全国重点实验室_多媒体计算 |
推荐引用方式 GB/T 7714 | Sun, Feng,Choi, Yi-King,Wang, Wenping,et al. Obtuse Triangle Suppression in Anisotropic Meshes[J]. Computer Aided Geometric Design,2011,28(9):537-548. |
APA | Sun, Feng,Choi, Yi-King,Wang, Wenping,Yan, Dong-Ming,Liu, Yang,&Lévy, Bruno.(2011).Obtuse Triangle Suppression in Anisotropic Meshes.Computer Aided Geometric Design,28(9),537-548. |
MLA | Sun, Feng,et al."Obtuse Triangle Suppression in Anisotropic Meshes".Computer Aided Geometric Design 28.9(2011):537-548. |
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文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | ||
2011_CAGD_Obuse.pdf(2026KB) | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 |
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