利用误差函数交替进行四次g 2样条圆逼近

IF 0.3 Q4 MATHEMATICS, APPLIED

Journal of the Korean Society for Industrial and Applied Mathematics Pub Date : 2013-09-25 DOI:10.12941/JKSIAM.2013.17.171

Soo Won Kim, Y. Ahn

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引用次数: 13

摘要

本文提出了一种用四次贝塞尔曲线逼近圆弧的方法。由于我们的四次近似误差函数的变化，我们的四次近似方法的误差比以前的四次近似方法小。我们的方法产生了一个封闭的误差形式，使得细分算法可用，并且曲率连续四次样条在等长圆弧下细分，直到误差小于公差。我们用一些数值例子来说明我们的方法。

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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CIRCLE APPROXIMATION BY QUARTIC G 2 SPLINE USING ALTERNATION OF ERROR FUNCTION

In this paper we present a method of circular arc approximation by quartic Bezier curve. Our quartic approximation method has a smaller error than previous quartic approximation methods due to the alternation of the error function of our quartic approximation. Our method yields a closed form of error so that subdivision algorithm is available, and curvaturecontinuous quartic spline under the subdivision of circular arc with equal-length until error is less than tolerance. We illustrate our method by some numerical examples.

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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