Family of G2 cubic transition curves

被引:4
|
作者
Habib, Z [1 ]
Sakai, M [1 ]
机构
[1] Kagoshima Univ, Grad Sch Sci & Engn, Dept Math & Comp Sci, Kagoshima 8900065, Japan
关键词
D O I
10.1109/GMAG.2003.1219675
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Walton & Meek [13] obtained a fair G(2) cubic transition spiral curve joining a straight line and a circle. We derive a family of cubic transition spiral curves joining them. We not only simplify and extend their analysis but also provide more degrees of freedom with less restrictive shape control parameters. The idea of straight line to circle transition has been extended to straight line to straight line transition which is more flexible and comfortable for practical use.
引用
收藏
页码:117 / 122
页数:6
相关论文
共 50 条
  • [41] G2/C1 Hermite interpolation of offset curves of parametric regular curves
    Ahn, Young Joon
    AIMS MATHEMATICS, 2023, 8 (12): : 31008 - 31021
  • [42] Optimal G2 Hermite interpolation for 3D curves
    Herzog, Raoul
    Blanc, Philippe
    COMPUTER-AIDED DESIGN, 2019, 117
  • [43] G2 Hermite interpolation with quartic regular linear normal curves
    Ahn, Young Joon
    Hoffmann, Christoph
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 424
  • [44] Construction of G2 rounded corners with Pythagorean-hodograph curves
    Farouki, Rida T.
    COMPUTER AIDED GEOMETRIC DESIGN, 2014, 31 (02) : 127 - 139
  • [45] The best G1 cubic and G2 quartic Bezier approximations of circular arcs
    Hur, Seok
    Kim, Tae-wan
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 236 (06) : 1183 - 1192
  • [46] Cubic polynomial A-splines:: G1, G2 and inflection point control
    Rodriguez, J. Daza
    Tovar, F.
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2006, 73 (1-4) : 133 - 141
  • [47] Rational bi-cubic G2 splines for design with basic shapes
    Karciauskas, Kestutis
    Peters, Joerg
    COMPUTER GRAPHICS FORUM, 2011, 30 (05) : 1389 - 1395
  • [48] Admissible regions for rational cubic spirals matching G2 Hermite data
    Habib, Zulfiqar
    Sakai, Manabu
    COMPUTER-AIDED DESIGN, 2010, 42 (12) : 1117 - 1124
  • [49] Regulation of the G2/M transition by p53
    Taylor, WR
    Stark, GR
    ONCOGENE, 2001, 20 (15) : 1803 - 1815
  • [50] Regulation of the G2/M transition in oocytes of Xenopus tropicalis
    Stanford, JS
    Lieberman, SL
    Wong, VL
    Ruderman, JV
    DEVELOPMENTAL BIOLOGY, 2003, 260 (02) : 438 - 448