통합자연과학논문집 (Journal of Integrative Natural Science)

조선대학교 기초과학연구원 (The Basic Science Institute Chosun University)
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Isoparametric Curve of Quadratic F-Bézier Curve

  • 투고 : 2013.01.02
  • 심사 : 2013.03.25
  • 발행 : 2013.03.30
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초록

In this thesis, we consider isoparametric curves of quadratic F-B$\acute{e}$zier curves. F-B$\acute{e}$zier curves unify C-B$\acute{e}$zier curves whose basis is {sint, cos t, t, 1} and H-B$\acute{e}$zier curves whose basis is {sinht, cosh t, t,1}. Thus F-B$\acute{e}$zier curves are more useful in Geometric Modeling or CAGD(Computer Aided Geometric Design). We derive the relation between the quadratic F-B$\acute{e}$zier curves and the quadratic rational B$\acute{e}$zier curves. We also obtain the geometric properties of isoparametric curve of the quadratic F-B$\acute{e}$zier curves at both end points and prove the continuity of the isoparametric curve.

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참고문헌

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피인용 문헌

  1. Isotomic and Isogonal Conjugates Tangent Lines of Lines at Vertices of Triangle vol.10, pp.1, 2017, https://doi.org/10.13160/ricns.2017.10.1.27