圆弧的c3四次b样条近似的近似阶

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2016-06-25 DOI:10.12941/JKSIAM.2016.20.151

Sungchul Bae, Y. Ahn

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引用次数: 0

摘要

本文给出了圆弧的c3四次b样条近似。得到了c3四次b样条曲线与圆弧之间的Hausdorff距离的封闭形式。通过误差分析，我们证明了我们的近似方法的近似阶数为6。对于给定的圆弧和误差容限，我们找到在公差范围内具有最小控制点数的c3四次b样条曲线。给出了圆弧的c3四次b样条逼近算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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APPROXIMATION ORDER OF C 3 QUARTIC B-SPLINE APPROXIMATION OF CIRCULAR ARC

In this paper, we present a C 3 quartic B-spline approximation of circular arcs. The Hausdorff distance between the C 3 quartic B-spline curve and the circular arc is obtained in closed form. Using this error analysis, we show that the approximation order of our approximation method is six. For a given circular arc and error tolerance we find the C 3 quartic B-spline curve having the minimum number of control points within the tolerance. The algorithm yielding the C 3 quartic B-spline approximation of a circular arc is also presented.

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来源期刊

Journal of the Korean Society for Industrial and Applied Mathematics MATHEMATICS, APPLIED-

自引率

33.30%

发文量