Spherical Pythagorean-hodograph curves

被引：0
|
作者：
Ueda, K [1 ]
机构：
[1] Ricoh Co Ltd, Bunkyo Ku, Tokyo 1120002, Japan
来源：
MATHEMATICAL METHODS FOR CURVES AND SURFACES II | 1998年
关键词：
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
Geometric inversion preserves Pythagorean hodographs. Stereographic projection, that is, a composition of the three mappings: translations, inversion and dilatation, maps Pythagorean hodograph (PH) plane curves onto the unit sphere. These stereographic image curves are spherical PH curves. The rotated curves and the geodesic offset curves of a spherical curve are also spherical PH curves. A great number of PH plane curves can be obtained as the preimage curves of such derived spherical PH curves.
引用
收藏
页码：485 / 492
页数：8
相关论文
共 50 条
  • [1] Pythagorean-hodograph cycloidal curves
    Kozak, Jernej
    Krajnc, Marjeta
    Rogina, Mladen
    Vitrih, Vito
    JOURNAL OF NUMERICAL MATHEMATICS, 2015, 23 (04) : 345 - 360
  • [2] First order hermite interpolation with spherical pythagorean-hodograph curves
    Kim G.-I.
    Kong J.-H.
    Lee S.
    Journal of Applied Mathematics and Computing, 2007, 23 (1-2) : 73 - 86
  • [3] FIRST ORDER HERMITE INTERPOLATION WITH SPHERICAL PYTHAGOREAN-HODOGRAPH CURVES
    Kim, Gwang-Il
    Kong, Jae-Hoon
    Lee, Sunhong
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2007, 23 (1-2) : 73 - 86
  • [4] Rational Pythagorean-hodograph space curves
    Farouki, Rida T.
    Sir, Zbynek
    COMPUTER AIDED GEOMETRIC DESIGN, 2011, 28 (02) : 75 - 88
  • [5] Pythagorean-hodograph curves and related topics
    Farouki, Rida T.
    Juettler, Bert
    Manni, Carla
    COMPUTER AIDED GEOMETRIC DESIGN, 2008, 25 (4-5) : 203 - 204
  • [6] Planar Cubic Pythagorean-Hodograph Hyperbolic Curves
    Yongxia HAO
    Lianxing LIAO
    JournalofMathematicalResearchwithApplications, 2022, 42 (02) : 206 - 220
  • [7] Identification of Planar Sextic Pythagorean-Hodograph Curves
    Hui WANG
    Chungang ZHU
    Caiyun LI
    Journal of Mathematical Research with Applications, 2017, 37 (01) : 59 - 72
  • [8] An approach to geometric interpolation by Pythagorean-hodograph curves
    Jaklic, Gasper
    Kozak, Jernej
    Krajnc, Marjeta
    Vitrih, Vito
    Zagar, Emil
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2012, 37 (01) : 123 - 150
  • [9] Identification and "reverse engineering" of Pythagorean-hodograph curves
    Farouki, Rida T.
    Giannelli, Carlotta
    Sestini, Alessandra
    COMPUTER AIDED GEOMETRIC DESIGN, 2015, 34 : 21 - 36
  • [10] Arc lengths of rational Pythagorean-hodograph curves
    Farouki, Rida T.
    COMPUTER AIDED GEOMETRIC DESIGN, 2015, 34 : 1 - 4
12345