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基于函数值的有理二次插值曲线的区域控制

Region Control of a Rational Quadratic Interpolating Curve Based on Function Values
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摘要 将插值曲线约束于给定的区域之内是曲线形状控制中的重要问题。构造了一种基于函数值的分母为二次的C1连续有理二次插值函数,该函数中含有参数,因而可以在插值条件不变的情况下通过对参数的选择进行曲线的局部修改,同时可通过对参数的控制实现C2连续的插值。给出了将该种插值曲线约束于给定的折线、二次曲线之上、之下或之间的充分条件及将其约束于给定折线之上、之下或之间的充分必要条件。 To constrain the interpolating curves to be bounded in the given region is an important problem in curve design. A rational quadratic interpolation function based on function values with quadratic denominators is constructed. The sufficient conditions for the interpolating curves to be above, below or between the given broken lines or piecewise quadratic curves and the sufficient and necessary conditions for the interpolating curves to be above, below or between the given broken lines are derived.
作者 邓四清 方逵 谢进
机构地区 湘南学院数学系 湖南农业大学信息科学技术学院 湖南师范大学数学与计算机科学学院 合肥学院数理系
出处 《工程图学学报》 CSCD 北大核心 2009年第3期94-99,共6页 Journal of Engineering Graphics
基金 国家自然科学基金资助项目(60773110) 湖南省教育厅科研资助项目(06C791) 湖南省科技计划资助项目(2008FJ3046) 湖南省重点学科建设资助项目 湖南省高校科技创新团队计划支持项目 安徽省教育厅自然科研资助项目(KJ2008B250)
关键词 计算机应用 有理二次插值 约束插值 形状控制 computer application rational quadratic interpolation constrained interpolation shape control
分类号 TP391 [自动化与计算机技术—计算机应用技术]
  • 相关文献

参考文献17

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二级参考文献15

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工程图学学报
2009年 第3期

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