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空间圆柱螺旋线的NURBS表示 被引量:4

REPRESENTING THE CYLINDRICAL HELIX WITH NURBS CURVES
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摘要 The paper is on the representation of a cylindrical helix by NURBS curves. A method is given, which discusses the influence on the shape of helix, produced by different ways of determining the positions of their control vertexes. The error distribution cases between the helix approximated by NURBS curves and the original theoretical one are also analyzed, and in the meanwhile a computation method is pointed out, which guarantees the requirements of precision. The paper is on the representation of a cylindrical helix by NURBS curves. A method is given, which discusses the influence on the shape of helix, produced by different ways of determining the positions of their control vertexes. The error distribution cases between the helix approximated by NURBS curves and the original theoretical one are also analyzed, and in the meanwhile a computation method is pointed out, which guarantees the requirements of precision.
作者 孙克豪
出处 《计算数学》 CSCD 北大核心 1998年第4期393-402,共10页 Mathematica Numerica Sinica
关键词 螺旋曲线 有理B样条 圆柱螺旋线 CAGD NURBS helix, NUMBS, CAGD, CAD
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参考文献2

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同被引文献22

  • 1陈凌钧,骆岩林.等径管道的三维重建[J].高校应用数学学报(A辑),1998,13(B06):86-90. 被引量:5
  • 2董光昌 梁友栋 等.样条曲线拟合与双圆逼近[J].应用数学学报,1978,1(4):330-340.
  • 3王国瑾.“KURGLAI”逼近的收敛性[J].浙江大学学报,1981,(3):92-99.
  • 4王国瑾.圆柱螺线逼近及其收敛性定理[J].浙江大学学报,1981,(3):123-140.
  • 5W.K.普拉特.数字图像处理学[M].北京:科学技术出版社,1983..
  • 6MICK S, ROSCHEI. O. Interpolation of helical patches by kine matic rational Bezier patches[J]. Computers &Graphics, 1990,14 (2) :275- 280.
  • 7JUHASZ I. Approximating the helix with rational cubic Bezier curves[J ]. Computer-Aided Design, 1995,27(8) :587-593.
  • 8SEEMANN G. Approximating a helix segment with a rational Bezier curve[J]. Computer Aided Geometric Design, 1997,14(5): 475-490.
  • 9YANG X. High accuracy approximation of helices by quintic curves [J]. Computer Aided Geometric Design,2003,20(6):303-317.
  • 10AHN Y J. Helix approximations with conic and quadratic Bezier curves[J]. Computer Aided Geometric Design, 2005, 22(6):551 -565.

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