[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2002.17.4.741

AN ERROR BOUND ANALYSIS FOR CUBIC SPLINE APPROXIMATION OF CONIC SECTION

Ahn, Young-Joon (Department of Mathematics, Ajou University)

Publication Information

Communications of the Korean Mathematical Society / v.17, no.4, 2002 , pp. 741-754 More about this Journal

Abstract

In this paper we present an error bound for cubic spline approximation of conic section curve. We compare it to the error bound proposed by Floater [1]. The error estimating function proposed in this paper is sharper than Floater's at the mid-point of parameter, which means the overall error bound is sharper than Floater's if the estimating function has the maximum at the midpoint.

Keywords

conic section; spline approximation; cubic Bezier curve; error analysis; geometric Hermite interpolation;

Citations & Related Records

Reference

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