| 局部形状可调整的三次有理B样条插值曲线 |
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| 引用本文： | 韩旭里,李明珠,任叶庆.局部形状可调整的三次有理B样条插值曲线[J].数学理论与应用,2007,27(1):110-112. |
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| 作者姓名： | 韩旭里 李明珠 任叶庆 |
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| 作者单位： | 中南大学数学科学与计算技术学院 长沙410083 |
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| 摘 要： | 利用三次非均匀有理B样条,给出了一种构造局部插值曲线的方法,生成的插值曲线是C2连续的.曲线表示式中带有一个局部形状参数,随着一个局部形状参数值的增大,所给曲线将局部地接近插值点构成的控制多边形.基于三次非均匀有理B样条函数的局部单调性和一种保单调性的准则,给出了所给插值曲线的保单调性的条件.
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| 关 键 词： | 有理B样条 插值曲线 形状参数 保单调性 |
| 修稿时间： | 2006-10-18 |
Cubic NURRS Interpolation Curves with Adjustable Local Shape |
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| Han Xuli, Li Mingzhu, Reng Yeqing.Cubic NURRS Interpolation Curves with Adjustable Local Shape[J].Mathematical Theory and Applications,2007,27(1):110-112. |
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| Authors: | Han Xuli Li Mingzhu Reng Yeqing |
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| Institution: | School o Mathematical Sciences and Computing Technology,Central South University,Changsha,410083 |
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| Abstract: | A local interpolation method is presented by using the cubic non-uniform rational B-spline curves.The generated interpolation curves can be C2 continuous and have a local shape parameter.As the increase o the value of a shape parameter,the curves approach locally the control polygon constructed by the interpolation points.Based upon the local monotonicity of the cubic non-uniform rational B-spline curves and a criterion of mono-tonicity preserving,the condition for the monotonicity preserving of the given interpolation curves is given. |
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| Keywords: | Rational B-splines Interpolation curves Shape parameter Monotonicity |
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