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带参数的C3连续拟Catmull-Rom样条函数

李军成, 刘成志   

  1. 湖南人文科技学院数学与金融学院, 娄底 417000
  • 收稿日期:2017-03-23 出版日期:2018-03-15 发布日期:2018-02-03
  • 基金资助:

    湖南省自然科学基金资助项目(2017JJ3124).

李军成, 刘成志. 带参数的C3连续拟Catmull-Rom样条函数[J]. 计算数学, 2018, 40(1): 96-106.

Li Juncheng, Liu Chengzhi. THE C3 QUASI CATMULL-ROM SPLINE FUNCTION WITH PARAMETERS[J]. Mathematica Numerica Sinica, 2018, 40(1): 96-106.

THE C3 QUASI CATMULL-ROM SPLINE FUNCTION WITH PARAMETERS

Li Juncheng, Liu Chengzhi   

  1. College of Mathematics and Finances, Hunan University of Humanities, Science and Technology, Loudi 417000, China
  • Received:2017-03-23 Online:2018-03-15 Published:2018-02-03
为了使得Catmull-Rom型样条兼具形状可调性与高阶连续性,提出了一类带参数的拟Catmull-Rom样条函数.该样条函数不仅无需求解方程系统即可自动达到C3连续,而且还可通过所带的2个参数对插值曲线的形状进行调整.通过确定所带参数的最优取值,可获得最佳拟Catmull-Rom样条插值函数.
A class of quasi Catmull-Rom spline function with parameters is presented in this paper to make the Catmull-Rom spline have shape-adjustable ability and high-order continuity. The quasi Catmull-Rom spline function can not only automatically achieve C3 continuity without solving equation systems, but also adjust the shape of the interpolation curve through the two parameters. The best quasi Catmull-Rom spline interpolation function can be obtained by determining the optimal value of the parameters.

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