DOI QR코드

DOI QR Code

AN ERROR BOUND ANALYSIS FOR CUBIC SPLINE APPROXIMATION OF CONIC SECTION

  • 발행 : 2002.10.01

초록

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.

키워드

참고문헌

  1. Ad-vances in Computational Mathematics v.5 An analysis of cubic approximation schemes for conic sections M. Floater https://doi.org/10.1007/BF02124751
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  4. Computer Aided Design v.22 Spline conversion for trimmed rational Bezier-and B-spline surfaces J. Hoschek;F. Schneider https://doi.org/10.1016/0010-4485(90)90043-C
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피인용 문헌

  1. Helix approximations with conic and quadratic Bézier curves vol.22, pp.6, 2005, https://doi.org/10.1016/j.cagd.2005.02.003