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Volume 21 Issue 2
March  2006
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Joo-Haeng Lee, Hyungjun Park. Geometric Properties of Ribs and Fans of a Bezier Curve[J]. Journal of Computer Science and Technology, 2006, 21(2): 279-283.
Citation: Joo-Haeng Lee, Hyungjun Park. Geometric Properties of Ribs and Fans of a Bezier Curve[J]. Journal of Computer Science and Technology, 2006, 21(2): 279-283.
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Geometric Properties of Ribs and Fans of a Bezier Curve

  • 1 Electronics and Telecommunications Research Institute, Daejeon 305-350, Korea2 Chosun University, Gwangju 501-759, Korea

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  • Revised Date: January 17, 2006
  • Published Date: March 14, 2006
    Abstract
  • Ribs and fans are interesting geometric entities that are derived from a given Bezier curve or surface based on the recent theory of rib and fan decomposition. In this paper, we present some of new geometric properties of ribs and fans for a Bezier curve including composite fans, rib-invariant deformation, and fan-continuity in subdivision. We also give some examples for the presented properties.
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    • References (8)
  • [1]
    Lee J-H, Park H. Ribs and fans of B\'ezier curves and surfaces. Computer-Aided Design and Applications, 2005, 2(1-4): 125--134.
    [2]
    Lee J-H's Web. Design examples of RFD, 2005. http://joo\-haeng.etri.re.kr/GeoLix/BezierRibFan/.
    [3]
    Farin G. Curves and Surfaces for CAGD: A Practical Guide. 5th Edition, New York: Academic Press, 2002.
    [4]
    Press W et al. Numerical Recipes in C: The Art of Scientific Computing. 2nd Edition, Cambridge: Cambridge Univ. Press, 1992.
    [5]
    Hoschek J, Lasser D. Fundamentals of Computer Aided Geometric Design. London: AK Peters, 1993.
    [6]
    Park H. Choosing nodes and knots in closed B-spline curve interpolation to point data. Computer-Aided Design, 2001, 33: 967--974.
    [7]
    Lee J-H, Park H. Morphological development and transformation of B\'ezier curves based on ribs and fans. In Proc. IJCC Workshop 2006 on Digital Engineering, Phoenix Park Hotel, Pyeongchang-gun, Gangwon-do, Korea, Feb 8--9, 2006.
    [8]
    Lee J-H, Park H. Geometric properties of ribs and fans of a B\'ezier curve. In Proc. 1st Korea-China Joint Conference on Geometric and Visual Computing, Busan, Korea, Aug 24--26, 2005, pp.118--127.
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