A survey on recent advances in the computation of asymptotes

被引：0
|
作者：
Magdalena-Benedicto, R. [1 ,2 ,3 ]
de Sevilla, M. A. Fernandez [2 ,3 ]
Perez-Diaz, S. [2 ,3 ]
机构：
[1] Univ Valencia, Dept Elect Engn, Ave Univ S-N, Burjassot 46100, Valencia, Spain
[2] Univ Alcala, Dept Ciencias Comp, Ctra Madrid Barcelona Km 33-6, Alcala De Henares 28871, Madrid, Spain
[3] Dept Fis & Matemat, Ctra Madrid Barcelona Km 33-6, Alcala De Henares 28871, Madrid, Spain
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2024年
关键词：
Implicit algebraic plane curve; Parametric plane curve; Infinity branches; Asymptotes; Perfect curves; Approaching curves; PARAMETRIZATION;
D O I：
10.1007/s40863-024-00444-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we summarize two algorithms for computing all the generalized asymptotes of a plane algebraic curve implicitly or parametrically defined. The approach is based on the notion of perfect curve introduced from the concepts and results presented in Blasco and P & eacute;rez-D & iacute;az (Comput Aided Geom Des 31(2):81-96, 2014), Blasco and P & eacute;rez-D & iacute;az (Comput Aided Geom Des 31(7-8):345-357, 2014), and Blasco and P & eacute;rez-D & iacute;az (J Comput Appl Math 278:231-247, 2015). From these results, we derive a new method that allow to easily compute horizontal and vertical asymptotes.
引用
收藏
页码：1986 / 2002
页数：17
相关论文
共 50 条
  • [31] Recent advances in decision trees: an updated survey
    Costa, Vinicius G.
    Pedreira, Carlos E.
    ARTIFICIAL INTELLIGENCE REVIEW, 2023, 56 (05) : 4765 - 4800
  • [32] Recent advances and challenges in uncertainty visualization: a survey
    Aasim Kamal
    Parashar Dhakal
    Ahmad Y. Javaid
    Vijay K. Devabhaktuni
    Devinder Kaur
    Jack Zaientz
    Robert Marinier
    Journal of Visualization, 2021, 24 : 861 - 890
  • [33] SURVEY OF RECENT ADVANCES IN MAGNETIC RECORDING MATERIALS
    BATE, G
    IEEE TRANSACTIONS ON MAGNETICS, 1978, 14 (04) : 136 - 142
  • [34] SURVEY OF RECENT ADVANCES IN SURGERY OF SENILE CATARACT
    PAUFIQUE, L
    CHARLEUX, J
    ANNALES D OCULISTIQUE, 1974, 207 (04): : 237 - 254
  • [35] A survey on recent advances in speech compressive sensing
    Shukla, Urvashi P.
    Patel, Niteen B.
    Joshi, Amit M.
    2013 IEEE INTERNATIONAL MULTI CONFERENCE ON AUTOMATION, COMPUTING, COMMUNICATION, CONTROL AND COMPRESSED SENSING (IMAC4S), 2013, : 276 - 280
  • [36] Recent advances in decision trees: an updated survey
    Vinícius G. Costa
    Carlos E. Pedreira
    Artificial Intelligence Review, 2023, 56 : 4765 - 4800
  • [37] Reinforcement Learning: A Tutorial Survey and Recent Advances
    Gosavi, Abhijit
    INFORMS JOURNAL ON COMPUTING, 2009, 21 (02) : 178 - 192
  • [38] A survey on information visualization: recent advances and challenges
    Liu, Shixia
    Cui, Weiwei
    Wu, Yingcai
    Liu, Mengchen
    VISUAL COMPUTER, 2014, 30 (12): : 1373 - 1393
  • [39] A Survey on the Recent Advances of Deep Community Detection
    Souravlas, Stavros
    Anastasiadou, Sofia
    Katsavounis, Stefanos
    APPLIED SCIENCES-BASEL, 2021, 11 (16):
  • [40] A Survey on Recent Advances in Transport Layer Protocols
    Polese, Michele
    Chiariotti, Federico
    Bonetto, Elia
    Rigotto, Filippo
    Zanella, Andrea
    Zorzi, Michele
    IEEE COMMUNICATIONS SURVEYS AND TUTORIALS, 2019, 21 (04): : 3584 - 3608
12345