| 解析曲面与自由曲面混合模型的约束优化重建方法 |
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| 引用本文： | 朱伟东,柯映林.解析曲面与自由曲面混合模型的约束优化重建方法[J].计算机辅助设计与图形学学报,2007,19(9):1143-1147,1153. |
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| 作者姓名： | 朱伟东 柯映林 |
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| 作者单位： | 浙江大学机械与能源工程学院,杭州,310027 |
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| 摘 要： | 首先阐述了平面、球面、柱面、锥面、B样条曲面的表达方式和相应的点到曲面的距离函数;然后给出了解析曲面与自由曲面保持连续性所需满足的约束方程;带约束的拟合问题通过惩罚函数方法来求解.实例表明:该方法可以应用于工业零件的反求设计中.
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| 关 键 词： | 反求工程 曲面重建 约束优化 解析曲面 自由曲面 解析曲面 自由曲面 混合模型 约束优化 重建方法 Method Constrained Optimization Surfaces Analytic Models Hybrid 反求设计 工业零件 应用 求解 惩罚函数方法 问题 拟合 带约束 约束方程 |
| 收稿时间： | 2006-11-08 |
| 修稿时间： | 2006-11-082007-05-08 |
Reconstruction of Hybrid Models Composed of Analytic and Free-form Surfaces by Using Constrained Optimization Method |
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| Zhu Weidong,Ke Yinglin.Reconstruction of Hybrid Models Composed of Analytic and Free-form Surfaces by Using Constrained Optimization Method[J].Journal of Computer-Aided Design & Computer Graphics,2007,19(9):1143-1147,1153. |
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| Authors: | Zhu Weidong Ke Yinglin |
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| Affiliation: | College of Mechanical and Energy Engineering, Zhejiang University, Hangzhou 310027 |
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| Abstract: | Firstly the representations of plane, sphere, cylinder, and cone surfaces are described, as well as the distance metrics of points to these surfaces. Then, the constraint equations to ensure the continuity between analytic surfaces and freeform surfaces are presented. Finally, the constrained fitting problem is solved by the penalty function method. Examples are given to illustrate applications of the proposed method in reverse design of industrial parts. |
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| Keywords: | reverse engineering surface reconstruction constrained optimization analytic surface free-formsurface |
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