Cubic algebraic spline curves design

被引:0
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作者
Chen-dong Xu
Fa-lai Chen
Jian-song Deng
Zhou-wang Yang
机构
[1] Ningbo University,Faculty of Science
[2] University of Science and Technology of China,Department of Mathematics
关键词
CAGD; piecewise algebraic curve; functional spline; geometric continuity; 65D17; 65D18; 68U07;
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学科分类号
摘要
In this paper we propose a construction method of the planar cubic algebraic spline curve with endpoint interpolation conditions and a specific analysis of its properties. The piecewise cubic algebraic curve has G2 continuous contact with the control polygon at two endpoints and is G2 continuous between each segments of itself. The process of this method is simple and clear, and provides a new way of thinking to design implicit curves.
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页码:213 / 229
页数:16
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