• 论文 •

### 可调形三次三角Cardinal插值样条曲线

1. 扬州大学机械工程学院, 江苏扬州 225127
• 收稿日期:2014-01-10 出版日期:2015-02-15 发布日期:2015-03-10

Song Aiping, Tao Jianming, Yi Danping, Zhang Yihan. CUBIC TRIGONOMETRIC CARDINAL INTERPOLATION SPLINE WITH ADJUSTABLE SHAPE[J]. Mathematica Numerica Sinica, 2015, 37(1): 34-41.

### CUBIC TRIGONOMETRIC CARDINAL INTERPOLATION SPLINE WITH ADJUSTABLE SHAPE

Song Aiping, Tao Jianming, Yi Danping, Zhang Yihan

1. College of Mechanical Engineering, Yangzhou University, Yangzhou 225127, Jiangsu, China
• Received:2014-01-10 Online:2015-02-15 Published:2015-03-10

By introducing trigonometric polynomial functions on the basis of cubic Cardinal interpolation spline curve, a set of primary functions with shape adjustable parameter is obtained, and a new curve called cubic trigonometric Cardinal interpolation spline is constructed by it. The spline can be used to accurately represent line, arc, ellipse and free curve, and the shape of interpolation spline can be controlled by changing the adjustable parameter. The interpolation spline has a more concise expression by avoid using rational form, and it needs relatively less calculation, which provides a common and simple method for constructing and processing of curves.

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