| 三角形网格曲面的展平 |
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| 引用本文： | 宋万忠,苏显渝.三角形网格曲面的展平[J].四川大学学报(工程科学版),2002,34(4):96-99. |
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| 作者姓名： | 宋万忠 苏显渝 |
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| 作者单位： | 四川大学,电子信息学院,四川,成都,610064 |
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| 摘 要： | 提出了一种用于多边形曲面的分步展平方法。将带约束边界条件的全局参数化技术用于生成不规则三角形网格曲面的初始展平图，通过迭代有限元平面热应力求解，可以得到在应变能极小意义下的全局最优展平图。实验结果表明了这种方法的有效性。
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| 关 键 词： | 三角形网格 全局参数化 有限元分析 曲面展平 计算机图形学 |
| 文章编号： | 1009-3087(2002)04-0096-04 |
| 修稿时间： | 2001年10月29 |
Flattening of Triangulated Surfaces |
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| SONG Wan-zhong,SU Xian-yu.Flattening of Triangulated Surfaces[J].Journal of Sichuan University (Engineering Science Edition),2002,34(4):96-99. |
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| Authors: | SONG Wan-zhong SU Xian-yu |
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| Abstract: | A two-step flattening algorithm of polygonal surfaces was proposed. In this algorithm, a global parameterization technique with constrained boundary was applied to the construction of an initial guess. The finite element method(FEM) was used to eliminate the difference between a curved surface and its flattening guess. After several iterations of finite element method(FEM), the optimal development in terms of minimized strain energy was produced. This algorithm was found suitable for the optimal flattening of parametric and polygonal surfaces. |
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| Keywords: | flattening triangulated surface global parameterization finite element analysis |
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