Implicitization using univariate resultants

doi:10.1007/s11424-010-7218-6

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	Implicitization using univariate resultants
	Shen, Liyong 1; Yuan, Chunming2
	2010-08-01
发表期刊	JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
ISSN	1009-6124
卷号	23 期号:4 页码:804-814
摘要	Among several implicitization methods, the method based on resultant computation is a simple and direct one, but it often brings extraneous factors which are difficult to remove. This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations. This method is more efficient than the other algorithms in finding implicit equations for this class of rational curves and surfaces.
关键词	Implicitization rational space curves rational surfaces resultants
DOI	10.1007/s11424-010-7218-6
语种	英语
资助项目	Natural Science Foundation of China[10901163] ; Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000281705600011
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/10359
专题	系统科学研究所
通讯作者	Shen, Liyong
作者单位	1.Chinese Acad Sci, Grad Univ, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Shen, Liyong,Yuan, Chunming. Implicitization using univariate resultants[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2010,23(4):804-814.
APA	Shen, Liyong,&Yuan, Chunming.(2010).Implicitization using univariate resultants.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,23(4),804-814.
MLA	Shen, Liyong,et al."Implicitization using univariate resultants".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 23.4(2010):804-814.