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
  • [31] On L2 approximation by planar Pythagorean-hodograph curves
    Farouki, Rida T.
    Knez, Marjeta
    Vitrih, Vito
    Zagar, Emil
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2025, 233 : 296 - 310
  • [32] Path planning with Pythagorean-hodograph curves for unmanned or autonomous vehicles
    Farouki, Rida T.
    Giannelli, Carlotta
    Mugnaini, Duccio
    Sestini, Alessandra
    PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2018, 232 (07) : 1361 - 1372
  • [33] Pythagorean-hodograph preserving mappings
    Kim, Gwang-Il
    Lee, Sunhong
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (01) : 217 - 226
  • [34] Real-time CNC interpolators for Pythagorean-hodograph curves
    Farouki, RT
    Shah, S
    COMPUTER AIDED GEOMETRIC DESIGN, 1996, 13 (07) : 583 - 600
  • [35] Euler-Rodrigues frames on spatial Pythagorean-hodograph curves
    Choi, HI
    Han, CY
    COMPUTER AIDED GEOMETRIC DESIGN, 2002, 19 (08) : 603 - 620
  • [36] Algebraic-Trigonometric Pythagorean-Hodograph curves and their use for Hermite interpolation
    Lucia Romani
    Laura Saini
    Gudrun Albrecht
    Advances in Computational Mathematics, 2014, 40 : 977 - 1010
  • [37] New algebraic and geometric characterizations of planar quintic Pythagorean-hodograph curves
    Horman, Kai
    Romani, Lucia
    Viscardi, Alberto
    COMPUTER AIDED GEOMETRIC DESIGN, 2024, 108
  • [38] Hermite Interpolation by Rotation-Invariant Spatial Pythagorean-Hodograph Curves
    Rida T. Farouki
    Mohammad al-Kandari
    Takis Sakkalis
    Advances in Computational Mathematics, 2002, 17 : 369 - 383
  • [39] Pythagorean-hodograph curves in Euclidean spaces of dimension greater than 3
    Sakkalis, Takis
    Farouki, Rida T.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2012, 236 (17) : 4375 - 4382
  • [40] Approximation of monotone clothoid segments by degree 7 Pythagorean-hodograph curves
    Farouki, Rida T.
    Pelosi, Francesca
    Sampoli, Maria Lucia
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2021, 382
12345