螺线

阿基米德螺线
等角螺线
费马螺线
双曲螺线

螺线(英語:spiral)是指一些围着某些定旋转且不断收缩或扩展的曲线

二维螺线

参考文献

  • Cook, T., 1903. Spirals in nature and art. Nature 68 (1761), 296.
  • Cook, T., 1979. The curves of life. Dover, New York.
  • Habib, Z., Sakai, M., 2005. Spiral transition curves and their applications. Scientiae Mathematicae Japonicae 61 (2), 195 – 206.
  • Dimulyo, S., Habib, Z., Sakai, M., 2009. Fair cubic transition between two circles with one circle inside or tangent to the other. Numerical Algorithms 51, 461–476 [1]页面存档备份,存于互联网档案馆).
  • Harary, G., Tal, A., 2011. The natural 3D spiral. Computer Graphics Forum 30 (2), 237 – 246 [2]页面存档备份,存于互联网档案馆).
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  • A. Kurnosenko. Applying inversion to construct planar, rational spirals that satisfy two-point G2 Hermite data. Computer Aided Geometric Design, 27(3), 262-280, 2010 [5]页面存档备份,存于互联网档案馆).
  • A. Kurnosenko. Two-point G2 Hermite interpolation with spirals by inversion of hyperbola. Computer Aided Geometric Design, 27(6), 474-481, 2010.
  • Miura, K.T., 2006. A general equation of aesthetic curves and its self-affinity. Computer-Aided Design and Applications 3 (1–4), 457–464 [6].
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  • Meek, D., Walton, D., 1989. The use of Cornu spirals in drawing planar curves of controlled curvature. Journal of Computational and Applied Mathematics 25 (1), 69–78 [8]页面存档备份,存于互联网档案馆).
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