Blending of the trigonometric polynomial spline curve with arbitrary continuous orders

被引：0

作者：

Liu, Huayong ^{[1
]}

Li, Lu ^{[1
]}

Zhang, Daming ^{[1
]}

机构：

[1] Department of Sciences and Physics, Anhui Jianzhu University, Hefei 230022, China

来源：

Journal of Information and Computational Science | 2014年 / 11卷 / 01期

关键词：

Polynomial approximation;

D O I：

10.12733/jics20102453

中图分类号：

学科分类号：

摘要：

In order to develop the theory of trigonometric polynomial spline curve, the representation of trigonometric polynomial spline curve is blended to a general form based on blending of trigonometric polynomial curves. Moreover, some properties of the blending curve are discussed in details. The research shows that the basis of the trigonometric polynomial curve is relative simple, and the blending curve includes the original trigonometric polynomial spline curve and shows much better shape-control capability than the original curve. Meanwhile, the blending curve keeps the same degree of original one. It is easy to find that the curve can be reshaping by adjusting the shape factor. At the same time, a new method of the representation of closed curve is given and can also accurately represent the whole ellipse arc and other conic curve. 1548-7741/Copyright © 2014 Binary Information Press.

引用

页码：45 / 55

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