통합자연과학논문집 (Journal of Integrative Natural Science)

조선대학교 기초과학연구원 (The Basic Science Institute Chosun University)
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Construction of Logarithmic Spiral-like Curve Using G2 Quadratic Spline with Self Similarity

  • Lee, Ryeong (Department of Mathematics Education, Chosun University) ;
  • Ahn, Young Joon (Department of Mathematics Education, Chosun University)
  • 투고 : 2014.04.06
  • 심사 : 2014.06.25
  • 발행 : 2014.06.30
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초록

In this paper, we construct an logarithmic spiral-like curve using curvature-continuous quadratic spline and quadratic rational spline. The quadratic (rational) spline has self-similarity. We present some properties of the quadratic spline. Also using this $G^2$ quadratic spline, an approximation of logarithmic spiral is proposed and error analysis is obtained.

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참고문헌

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피인용 문헌

  1. Comparison of Offset Approximation Methods of Conics with Explicit Error Bounds vol.9, pp.1, 2016, https://doi.org/10.13160/ricns.2016.9.1.10