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Geometric Properties of Ribs and Fans of a Bézier Curve 被引量:4

Geometric Properties of Ribs and Fans of a Bézier Curve
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摘要 Ribs and fans are interesting geometric entities that are derived from a given Bézier 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 Bézier curve including composite fans, rib-invariant deformation, and fan-continuity in subdivision. We also give some examples for the presented properties. Ribs and fans are interesting geometric entities that are derived from a given Bézier 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 Bézier curve including composite fans, rib-invariant deformation, and fan-continuity in subdivision. We also give some examples for the presented properties.
出处 《Journal of Computer Science & Technology》 SCIE EI CSCD 2006年第2期279-283,共5页 计算机科学技术学报(英文版)
关键词 geometric algorithm Bézier curve composite fan rib-invariance fan-continuity geometric algorithm, Bézier curve, composite fan, rib-invariance, fan-continuity
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参考文献8

  • 1Lee J-H, Park H. Ribs and fans of Bezier curves and surfaces. Computer-Aided Design and Applications, 2005, 2(1-4):125-134.
  • 2Lee J-H's Web. Design examples of RFD, 2005. http://joohaong.et.ri.re.kr/GeoLix/BezierRibFan/.
  • 3Farin G. Curves and Surfaces for CAGD: A practical Guide. 5th Edition. New York: Academic Press,2002.
  • 4Press W et al. Numerical Recipes in C: The Art of Scientific Computing 2nd Edition. Cambridge: Cambridge Univ. Press, 1992.
  • 5Hoschek J, Lasser D, Fundamentals of Computer Aided Geometric Design. London: AK Peters, 1993.
  • 6Park H. Choosing nodes and knots in closed B-spline curve interpolation to point data. Computer-Aided Design, 2001,33:967-974.
  • 7Lee J-H, Park H. Morphological development and transformation of Bezier cnrves based on ribs and fans. In Proc. IJCC Workshop 2006 on Digital Enginecring, Phoenix Park Hotel, Pyeongchang-gun, Gangwon-do. Korea, Feb 8-9, 2006.
  • 8Lee J-H, Park h. Geometric propertics of ribs and fans of a Bezier 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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