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Cubic algebraic spline curves design
Authors:Chen-dong Xu  Fa-lai Chen  Jian-song Deng  Zhou-wang Yang
Affiliation:[1]Faculty of Science, Ningbo University, Ningbo, Zhejiang 315211, China [2]Department of Mathematics, University of Science and Technology of China, Hefei, Anhui 230026,ChinaYANG Zhou-wang2
Abstract: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 G 2 continuous contact with the control polygon at two endpoints and is G 2 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.
Keywords:CAGD  piecewise algebraic curve  functional spline  geometric continuity.
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