| 四面体模型质量度量准则及其之间的关系 |
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| 引用本文： | 印桂生,李艳波,张菁,朱长明,倪军.四面体模型质量度量准则及其之间的关系[J].计算力学学报,2012,29(1):55-61. |
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| 作者姓名： | 印桂生 李艳波 张菁 朱长明 倪军 |
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| 作者单位： | 哈尔滨工程大学 计算机科学与技术学院, 哈尔滨, 150001;哈尔滨工程大学 计算机科学与技术学院, 哈尔滨, 150001; 爱荷华大学医学院 放射系, 美国爱荷华州 52242;哈尔滨工程大学 计算机科学与技术学院, 哈尔滨, 150001;哈尔滨工程大学 计算机科学与技术学院, 哈尔滨, 150001; 爱荷华大学医学院 放射系, 美国爱荷华州 52242;爱荷华大学医学院 放射系, 美国爱荷华州 52242 |
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| 基金项目： | 黑龙江省自然科学基金(2007Q0502-00) 资助项目. |
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| 摘 要： | 四面体模型质量度量准则是评价网格模型质量的标准,但长期以来,对四面体单元质量的度量和评价并没有公认的标准。因此,本文对常用的四面体网格模型质量度量准则进行总结,并从理论上证明了各质量度量准则之间的关系,同时通过实验分析各质量度量准则之间的这种关系是否成立。分析认为在优化四面体模型时,不能仅仅采用某一种度量标准来评价网格的质量,应根据不同的四面体类型,采用不同的准则或将几种准则联合起来对四面体模型质量进行度量。
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| 关 键 词： | 四面体网格模型 网格优化 质量度量 |
| 收稿时间： | 6/8/2010 12:00:00 AM |
| 修稿时间： | 2010/10/20 0:00:00 |
Relationship between quality measures criterion of tetrahedral mesh |
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| YIN Gui-sheng,LI Yan-bo,ZHANG Jing,ZHU Chang-ming and NI Jun.Relationship between quality measures criterion of tetrahedral mesh[J].Chinese Journal of Computational Mechanics,2012,29(1):55-61. |
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| Authors: | YIN Gui-sheng LI Yan-bo ZHANG Jing ZHU Chang-ming and NI Jun |
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| Institution: | School of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China;School of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China; Department of Radiology, School of Medicine, University of Iowa, Iowa 52242, USA;School of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China;School of Computer Science and Technology, Harbin Engineering University, Harbin 150001, China; Department of Radiology, School of Medicine, University of Iowa, Iowa 52242, USA;Department of Radiology, School of Medicine, University of Iowa, Iowa 52242, USA |
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| Abstract: | The quality measures criterion of tetrahedral model have been used to assess applicability. However,it lacks a recognized standard for such measures. This paper reviews the existing quality measures criterion in tetrahedral mesh generation and presents a rigorous proving of the relationship among various measures. The derived relationship among quality measures is experimented numerically. It concludes that in the optimization of a tetrahedral model,a single evaluation is not sufficient to ensure the quality. Instead,a hybrid (combined with multiple measures) method may be used to evaluate the quality of tetrahedral mesh model. |
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| Keywords: | tetrahedral mesh model mesh optimization quality measure |
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