| 非均匀自然路径距离参数的样条插值 |
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| 引用本文： | 沈冯强.非均匀自然路径距离参数的样条插值[J].合肥工业大学学报(自然科学版),1999(3). |
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| 作者姓名： | 沈冯强 |
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| 作者单位： | 合肥工业大学建筑工程系 |
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| 基金项目： | 国家教委留学回国人员科研启动基金 |
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| 摘 要： | 提出用非均匀自然路径距离参数的三次样条函数近似表示任意曲线。这里三次样条函数中参数几何意义是沿曲线路径单调增长的距离。这种插值曲线的优点是容易按距离对插值后的曲线作任意分割。文中所附算例表明非均匀自然路径距离参数的三次样条函数的曲线表示是有效可行的。
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| 关 键 词： | 样条插值 非均匀自然路径距离参数 曲线表示 |
SPLINE FUNCTIONS WITH PARAMETER OF NON UNIFORM PATH DISTANCE |
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| Shen Fengqiang.SPLINE FUNCTIONS WITH PARAMETER OF NON UNIFORM PATH DISTANCE[J].Journal of Hefei University of Technology(Natural Science),1999(3). |
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| Authors: | Shen Fengqiang |
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| Abstract: | A method is proposed to approximate arbitrary curves by spline functions with parameter of non uniform path distance.The geometric meaning of the parameter is the mono increasing distance along the curve path.The advantage of the proposed spline functions is easy splitting of given curves according to the curve path distance.The examples presented in this paper have proved that the spline functions with parameter of non uniform path distance is a practical and efficient method for interpolation or appoximation in curve representation. |
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| Keywords: | spline interpolation non uniform path distance curve representation |
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