| NURBS插值曲面构造方法 |
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| 引用本文： | 张翔立,王明礼,周济,余俊.NURBS插值曲面构造方法[J].华中科技大学学报(自然科学版),1993(4). |
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| 作者姓名： | 张翔立 王明礼 周济 余俊 |
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| 作者单位： | 华中理工大学机械工程一系
(张翔立，周济)，神龙有限汽车公司
(王明礼)，华中理工大学机械工程一系(余俊) |
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| 摘 要： | 探讨了NURBS插值曲面的构造方法,导出了两种插值曲面算法;第一种算法是将传统的B-Spline插值方法推广到四维空间而得到的算法;第二种算法是通过重新处理节点向量值得到的一种不使用边界条件、稳定性好、计算量小、对任意阶曲面都有效的方法.两种算法均能满足曲面性态要求,还给出了两种算法的运算结果,并对两种插值算法进行了比较.
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| 关 键 词： | NURBS 曲面 插值 算法 |
Algorithms for the Construction of the NURBS Interpolating Surface |
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| Zhang Xiangli Wang Mingli Zhou Ji Yu Jun.Algorithms for the Construction of the NURBS Interpolating Surface[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1993(4). |
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| Authors: | Zhang Xiangli Wang Mingli Zhou Ji Yu Jun |
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| Institution: | Zhang Xiangli Wang Mingli Zhou Ji Yu Jun |
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| Abstract: | The methods of construction of the NURBS interpolating surface are discussed and two algorithms presented. The first algorithm is obtained after the extension of conventional B-Spline interpolating methods to 4-D space, and the second is obtainded by recalculating the nodes vector. The second method is one with smaller calculating workload, no boundary conditions and better stability. Both algorithms can meet the requirement on the surface property. Calculation results with the two algorithms are given and comparedd with each other. |
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| Keywords: | NURBS surface interpolation algorithm |
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