| NURBS及其自由变形 |
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| 引用本文： | 邱泽阳,李原,杨海成. NURBS及其自由变形[J]. 机械科学与技术, 2000, 19(4): 686-688 |
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| 作者姓名： | 邱泽阳 李原 杨海成 |
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| 作者单位： | 邱泽阳（西北工业大学 CAD／CAM 国家专业实验室，西安 710072）;李原（西北工业大学 CAD／CAM 国家专业实验室，西安 710072）;杨海成（西北工业大学 CAD／CAM 国家专业实验室，西安 710072）;张定华（西北工业大学 CAD／CAM 国家专业实验室，西安 710072） |
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| 基金项目： | 国家自然科学基金(69773036)、国家教委优秀青年教师基金资助课题。 |
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| 摘 要： | 在分析 NURBS曲线、曲面与其参数域之间映射关系的基础上 ,建立了 NURBS实体和其参数域之间的映射关系 ,并进一步发现了基于 URBS的由变形与三参数 NU RBS实体之间的联系和自由变形的实质 ,即对三参数 NURBS实体的参数施了形状约束。将这一思想进一步推广到控制晶格顶点和权因子 ,则是我们下一步的工作
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| 关 键 词： | NURBS 自由变形 几何造型 |
| 文章编号： | 1003-8728(2000)04-0686-03 |
| 修稿时间： | 1999-05-10 |
NURBS and its Free-Form Deformation |
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| QIU Ze-yang,LI Yuan,YANG Hai-cheng,ZHANG Ding-hua. NURBS and its Free-Form Deformation[J]. Mechanical Science and Technology for Aerospace Engineering, 2000, 19(4): 686-688 |
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| Authors: | QIU Ze-yang LI Yuan YANG Hai-cheng ZHANG Ding-hua |
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| Abstract: | Based on the analysis of mapping relations between the domain of parameters and non uniform rational B spline curve and surface, the relation between trivariate NURBS solid and its parametric domain was established. Compared with the deformation based on NURBS, the relations between NURBS solid and its free form deformation were found:1)The formulas they followed were the same.2)The control lattices of free form deformation was only a special case of trivariate NURBS solid, that is, the control points of the NURBS solid and its parametric nodes occupied the same distribution.3)The objects embedded in the control lattices were only held parts of the parametric domain of the trivariate NURBS solid. If the control points and the weights for the special case of the NURBS solid were modified, the solid of general shape would be obtained. We concluded that the free form deformation based on NURBS was analogous to exert some shape constraints on the parametric domain of the special NURBS solid. |
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| Keywords: | NURBS Free-form deformation Geometric modeling |
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