Canal surfaces generated by special curves and quaternions

被引：1
|
作者：
Caliskan, Abdussamet [1 ]
机构：
[1] Ordu Univ, Fatsa Vocat Sch, Accounting & Tax Applicat, Ordu, Turkiye
来源：
AFRIKA MATEMATIKA | 2023年 / 34卷 / 04期
关键词：
Canal Surface; Tubular surface; Bertrand curve; Involute-Evolute curve; Mannheim Curve; Quaternion; Rotation matrices; Homothetic motion; MANNHEIM PARTNER CURVES;
D O I：
10.1007/s13370-023-01138-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we show that canal and tubular surfaces can be obtained by special curves. Also, we give the equations of the canal and tubular surfaces given by the different frames. Besides, these surfaces are obtained by quaternion and homothetic motion.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Canal surfaces generated by special curves and quaternions
    Abdussamet Çalışkan
    Afrika Matematika, 2023, 34
  • [2] Canal Surfaces with Quaternions
    Selahattin Aslan
    Yusuf Yaylı
    Advances in Applied Clifford Algebras, 2016, 26 : 31 - 38
  • [3] Canal Surfaces with Quaternions
    Aslan, Selahattin
    Yayli, Yusuf
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 31 - 38
  • [4] Quaternions Associated to Curves and Surfaces
    Wang, Haohao
    Hoffman, J. William
    ADVANCED COMPUTATIONAL APPLICATIONS OF GEOMETRIC ALGEBRA, ICACGA 2022, 2024, 13771 : 232 - 232
  • [5] The notes on the special tube surfaces generated by normal curves in E24
    Almaz, Fatma
    Alyamac Kulahci, Mihriban
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
  • [6] Curves and surfaces in the three dimensional sphere placed in the space of quaternions
    Tazawa, Y
    INNOVATION IN MATHEMATICS, 1997, : 459 - 466
  • [7] Special curves in modular surfaces
    Tamiozzo, Matteo
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2023, 66 (01): : 1 - 18
  • [8] Diffusion generated motion of curves on surfaces
    Merriman, Barry
    Ruuth, Steven J.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 225 (02) : 2267 - 2282
  • [9] Blending canal surfaces based on PH curves
    Xu, CD
    Chen, FL
    JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2005, 20 (03) : 389 - 395
  • [10] Blending Canal Surfaces Based on PH Curves
    Chen-Dong Xu
    Fa-Lai Chen
    Journal of Computer Science and Technology, 2005, 20 : 389 - 395
12345