| 基于内角余弦和的三角形正则度评定与网格优化 |
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| 引用本文： | 刘泗岩,廖文和,刘浩.基于内角余弦和的三角形正则度评定与网格优化[J].机械科学与技术(西安),2007,26(4):420-423. |
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| 作者姓名： | 刘泗岩 廖文和 刘浩 |
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| 作者单位： | 南京航空航天大学机电学院,南京210016 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 三角网格模型的质量对有限元分析等工程应用具有重要影响,而三角形的正则度是决定网格质量的主要因素。本文系统提出了基于内角余弦和的三角形正则度评定理论,并应用于三角网格优化中,通过对正则度低的三角形进行边折叠与边交换操作,有效去除了网格中的狭长三角形而使网格质量得以提高。结果证明本算法简捷高效,具有较高实用价值。
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| 关 键 词： | 三角网格优化 三角形正则度 边折叠 边交换 |
| 文章编号： | 1003-8728（2007）04-0420-04 |
| 修稿时间： | 2006-05-10 |
Triangle Regularity Measurement Based on Cosine Sum of Inner Angles and Mesh Optimization |
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| Liu Siyan,Liao Wenhe,Liu Hao.Triangle Regularity Measurement Based on Cosine Sum of Inner Angles and Mesh Optimization[J].Mechanical Science and Technology,2007,26(4):420-423. |
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| Authors: | Liu Siyan Liao Wenhe Liu Hao |
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| Affiliation: | School of Mechanical and Electronic Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
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| Abstract: | The quality of triangular mesh model has important influence on such engineering applications as FEM analysis, and the regularity of a triangle is the main factor that determines the quality of a mesh. We put forward a triangle regularity measurement theory based on the cosine sum of inner angles and applied it to triangle mesh optimization. Applying edge collapse and edge swap operations to triangles with low regularity, we removed long and narrow triangles from meshes, thus the mesh quality is improved. Application results show that the algorithm is efficient and practical. |
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| Keywords: | triangular mesh optimization triangle regularity edge collapse edge swap |
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