| 基于能量极小准则的曲面再现与光顺 |
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| 引用本文： | 蔡中义.基于能量极小准则的曲面再现与光顺[J].计算机辅助设计与图形学学报,2002,14(8):758-762. |
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| 作者姓名： | 蔡中义 |
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| 作者单位： | 吉林大学辊锻工艺研究所,长春,130025;吉林大学汽车动态模拟国家重点实验室,长春,130025 |
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| 基金项目： | 高等学校国家重点实验室访问学者基金 ( 2 0 0 0 2 0 4 )资助 |
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| 摘 要： | 根据能量最小原理及数据逼近理论，提出一种基于散乱数据重建光顺自币曲面的方法，该方法采用Hermite单元极小化目标泛函，再现的曲面全场C^1或C^2连续，这种结合能量光顺的有限元方法抑制了输入数据中噪声的影响，可给出曲面一阶导数甚至二阶导数，讨论光顺因子对计算精度的影响，并通过实例说明该方法的实用性。
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| 关 键 词： | 能量极小准则 曲面再现 光顺 曲面重建 数据逼近 Hermite单元 散乱数据 CAD CAM |
| 修稿时间： | 2001年7月5日 |
Reconstruction and Smoothing of Surface Based on Minimum Energy Principle |
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| Cai Zhongyi.Reconstruction and Smoothing of Surface Based on Minimum Energy Principle[J].Journal of Computer-Aided Design & Computer Graphics,2002,14(8):758-762. |
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| Authors: | Cai Zhongyi |
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| Abstract: | Uniform rectangular meshes are constructed to cover all given scattered points. Energy functional of thin plate represented as Hermite surface patches with C 1 or C 2 continuity throughout the whole data field is minimized to fit the data points. Such an approach of global optimization is very effective to suppress the influence of noise in input data and reliable derivatives of first order even second order can be calculated. Effects of smoothing parameter on the precision of surface reconstruction are investigated and the applicability of presented method is illustrated by two practical examples. |
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| Keywords: | surface reconstruction minimum energy smoothing data approximation Hermite element scattered data |
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