Journal of the Korean Society for Industrial and Applied Mathematics

  • 제17권3호
  • /
  • Pages.171-179
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  • 2013
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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CIRCLE APPROXIMATION BY QUARTIC G2 SPLINE USING ALTERNATION OF ERROR FUNCTION

  • Kim, Soo Won (DEPARTMENT OF MATHEMATICS EDUCATION, CHOSUN UNIVERSITY) ;
  • Ahn, Young Joon (DEPARTMENT OF MATHEMATICS EDUCATION, CHOSUN UNIVERSITY)
  • 투고 : 2013.04.03
  • 심사 : 2013.06.04
  • 발행 : 2013.09.25
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초록

In this paper we present a method of circular arc approximation by quartic B$\acute{e}$zier 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 curvature-continuous 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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과제정보

연구 과제 주관 기관 : Chosun University

참고문헌

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  13. K. Morken. Best approximation of circle segments by quadratic Bezier curves. In P.J. Laurent, A. Le Mehaute, and L.L. Schumaker, editors, Curves and Surfaces, pages 387-396. Academic Press, 1990.

피인용 문헌

  1. APPROXIMATION ORDER OF C3 QUARTIC B-SPLINE APPROXIMATION OF CIRCULAR ARC vol.20, pp.2, 2016, https://doi.org/10.12941/jksiam.2016.20.151
  2. A new method approximating offset curve by Bézier curve using parallel derivative curves vol.37, pp.2, 2013, https://doi.org/10.1007/s40314-017-0437-x