通用可调形三次三角Hermit插值样条  

General shape-adjustable cubic trigonometric Hermit interpolation spline

作　　者：徐应祥 XU Yingxiang(School of Mathematics and Data Science,Zhongkai University of Agriculture and Engineering,Guangzhou 510225,China)

机构地区：[1]仲恺农业工程学院数学与数据科学学院,广东广州510225

出　　处：《仲恺农业工程学院学报》2024年第4期37-42,共6页Journal of Zhongkai University of Agriculture and Engineering

摘　　要：给出一种更具一般形式的可调形三次三角Hermit插值样条,可以精确表示椭圆弧、抛物线弧、立方抛物线弧、星形线弧等工程曲线,并可以根据需要自主调整曲线形状.然后对误差进行分析,给出了相应的数值算例与结论.A general shape-adjustable cubic trigonometric Hermit interpolation spline is constructed,which can accurately represent engineering curve arcs of ellipse,parabola,cubic parabola and asteroid.By changing parameters in basis,the curve shape can be easily adjusted according to the needs.The interpolated error was studied.Numerical examples and conclusions were given.

关 键 词：可调形 Hermit插值 三角样条 

分 类 号：O241.5[理学—计算数学] TP391.7[理学—数学]