Local control of interpolating rational cubic spline curves

Authors:
Qi Duan;Fangxun Bao;Shitian Du;E. H. Twizell
Affiliations:
School of Mathematics and System Science, Shandong University, Jinan, 250100, China;School of Mathematics and System Science, Shandong University, Jinan, 250100, China;School of Mathematics and System Science, Shandong University, Jinan, 250100, China;School of Information Systems, Computing and Mathematics, Brunel University, Uxbridge, Middlesex, England. UB8 3PH, United Kingdom
Venue:
Computer-Aided Design
Year:
2009

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Abstract

A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at a point are developed. Some numerical examples are given to illustrate these methods.