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
  • [1] Recent advances in evolutionary computation
    Division of Industrial Innovation Sciences, Graduate School of Natural Science and Technology, Okayama University, Tsushima-Naka 3-1-1, Okayama 700-8530, Japan
    不详
    IEEJ Trans. Electron. Inf. Syst., 2008, 3 (334-339): : 334 - 339
  • [2] Recent advances in evolutionary computation
    Yao, X
    Xu, Y
    JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY, 2006, 21 (01) : 1 - 18
  • [3] Recent Advances on Bioinspired Computation
    Cui, Zhihua
    Alex, Rajan
    Akerkar, Rajendra
    Yang, Xin-She
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [4] Recent Advances in Evolutionary Computation
    Xin Yao
    Yong Xu
    Journal of Computer Science and Technology, 2006, 21 : 1 - 18
  • [5] Recent Advances in Computation and Combinatorial Optimization
    Hu, Xiaodong
    Wang, Jie
    ALGORITHMICA, 2010, 56 (03) : 281 - 282
  • [6] Recent advances in immunological inspired computation
    Coello Coello, Carlos A.
    Cutello, Vincenzo
    Pavone, Mario
    Lee, Doheon
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2017, 62 : 302 - 303
  • [7] Recent Advances in Computation and Combinatorial Optimization
    Xiaodong Hu
    Jie Wang
    Algorithmica, 2010, 56 : 281 - 282
  • [8] SURVEY OF RECENT INSTRUMENTATION ADVANCES
    BROWNELL, GL
    TRANSACTIONS OF THE AMERICAN NUCLEAR SOCIETY, 1970, 13 (02): : 521 - &
  • [9] COMPUTATION OF ASTEROID PROPER ELEMENTS: RECENT ADVANCES
    Knezevic, Z.
    SERBIAN ASTRONOMICAL JOURNAL, 2017, 195 : 1 - 8
  • [10] Recent advances in a rigorous computation of Poincare maps
    Kapela, Tomasz
    Wilczak, Daniel
    Zgliczynski, Piotr
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 110
12345