The Cubic Trigonometric Automatic Interpolation Spline  

作　　者：Juncheng Li Laizhong Song Chengzhi Liu 

机构地区：[1]College of Mathematics and Finance,Hunan University of Humanities,Science and Technology [2]College of Science,China Three Gorges University

出　　处：《IEEE/CAA Journal of Automatica Sinica》2018年第6期1136-1141,共6页自动化学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(11171181);the Scientific Research Fund of Hunan Provincial Education Department of China(14B099)

摘　　要：A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C^2 interpolation curves without solving equations system even if the interpolation conditions are fixed. Moreover, shape of the interpolation spline curves can be globally adjusted by the two parameters. By selecting proper values of the two parameters,the optimal interpolation spline curves can be obtained.A class of cubic trigonometric interpolation spline curves with two parameters is presented in this paper. The spline curves can automatically interpolate the given data points and become C^2 interpolation curves without solving equations system even if the interpolation conditions are fixed. Moreover, shape of the interpolation spline curves can be globally adjusted by the two parameters. By selecting proper values of the two parameters,the optimal interpolation spline curves can be obtained.

关 键 词：Automatic interpolation interpolation spline shape adjustment trigonometric polynomial 

分 类 号：TP311.1[自动化与计算机技术—计算机软件与理论] TP391.41[自动化与计算机技术—计算机科学与技术]