The Cubic Trigonometric Automatic Interpolation Spline |
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| Authors: | Li Juncheng Song Laizhong Liu Chengzhi |
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| Affiliation: | 1.College of Mathematics and Finance, Hunan University of Humanities, Science and Technology, Loudi 417000, China2.College of Science, China Three Gorges University, Yichang 443002, China |
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| Abstract: | 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 C2 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. |
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| Keywords: | Automatic interpolation interpolation spline shape adjustment trigonometric polynomial |
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