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Isotopic Meshing of a Real Algebraic Space Curve

文献类型：期刊论文

作者Jin, Kai2; Cheng, Jinsan1
刊名JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
出版日期2020-08-01
卷号33期号:4页码:1275-1296
关键词Algebraic space curve topology weak generic position
ISSN号1009-6124
DOI10.1007/s11424-020-8378-7
英文摘要This paper presents a new algorithm for computing the topology of an algebraic space curve. Based on an efficient weak generic position-checking method and a method for solving bivariate polynomial systems, the authors give a first deterministic and efficient algorithm to compute the topology of an algebraic space curve. Compared to extant methods, the new algorithm is efficient for two reasons. The bit size of the coefficients appearing in the sheared polynomials are greatly improved. The other is that one projection is enough for most general cases in the new algorithm. After the topology of an algebraic space curve is given, the authors also provide an isotopic-meshing (approximation) of the space curve. Moreover, an approximation of the algebraic space curve can be generated automatically if the approximations of two projected plane curves are first computed. This is also an advantage of our method. Many non-trivial experiments show the efficiency of the algorithm.
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000557013600022
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51958]  
专题系统科学研究所
通讯作者Jin, Kai
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100190, Peoples R China
2.Hubei Univ Sci & Technol, Sch Math & Stat, Xianning 437100, Peoples R China
推荐引用方式
GB/T 7714		 Jin, Kai,Cheng, Jinsan. Isotopic Meshing of a Real Algebraic Space Curve[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2020,33(4):1275-1296.
APA Jin, Kai,&Cheng, Jinsan.(2020).Isotopic Meshing of a Real Algebraic Space Curve.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,33(4),1275-1296.
MLA Jin, Kai,et al."Isotopic Meshing of a Real Algebraic Space Curve".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 33.4(2020):1275-1296.

入库方式： OAI收割

来源：数学与系统科学研究院

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