| 带边界约束的B样条曲面逼近 |
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| 引用本文： | 柯映林,贾明. 带边界约束的B样条曲面逼近[J]. 计算机辅助设计与图形学学报, 2003, 15(12): 1549-1553 |
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| 作者姓名： | 柯映林 贾明 |
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| 作者单位： | 浙江大学机械与能源工程学院,杭州,310027;浙江大学机械与能源工程学院,杭州,310027 |
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| 基金项目： | 国家“八六三”高技术研究发展计划 (863 5 11 942 0 18)，教育部优秀骨干教师基金，教育部博士点专项基金 (980 3 3 5 3 2 )资助 |
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| 摘 要： | 为了得到全局G^1连续的曲面模型，给出了带有边界约束的散乱数据点B样条曲面最小二乘逼近重构方法，并以四边界位置约束和四边界跨界切矢约束情况为例，进行了详细讨论．实验表明，文中给出的方法可以使曲面模型达到近似G^1连续，其精度完全可以满足实际工程需要。
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| 关 键 词： | 曲面逼近 散乱点 边界约束 几何连续 反求工程 |
| 修稿时间： | 2002-12-30 |
B-Spline Surface Approximation with Boundary Constraints |
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| Ke Yinglin Jia Ming. B-Spline Surface Approximation with Boundary Constraints[J]. Journal of Computer-Aided Design & Computer Graphics, 2003, 15(12): 1549-1553 |
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| Authors: | Ke Yinglin Jia Ming |
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| Abstract: | In order to obtain a globally G 1 continuous surface model, least square approximation of B spline surfaces to scattered data with complicated boundary constraints is applied As an example, solution to the most complex constraining conditions of continuity over four boundaries and cross boundary tangency is addressed in detail Application shows that the surface model can reach approximate global G 1 continuity and satisfy the engineering requirements |
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| Keywords: | surface approximation scattered point boundary constraints geometric continuity reverse engineering |
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