ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES

doi:10.1142/S0218195991000116

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	ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES
	Gao, Xiao-Shan 1; Chou, Shang-Ching 2
	1991-06-01
发表期刊	INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
ISSN	0218-1959
卷号	1 期号:2 页码:125-136
摘要	A set of parametric equations of an algebraic curve or surface is called normal, if all the points of the curve or the surface can be given by the parametric equations. In this paper, we present a method to decide whether a set of parametric equations is normal. In addition, we give some simple criteria for a set of parametric equations to be normal. As an application, we present a method to find normal parametric equations for conics. We also present a new method to find parametric equations for conicoids, and if the parametric equations found are not normal, the missing points can also be given.
关键词	Parametric equations normal parametric equations inversion map conics conicoids computer modeling
DOI	10.1142/S0218195991000116
语种	英语
资助项目	NSF[CCR-8702108] ; NSF[CCR-9002362]
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000208794600003
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5817
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Xiao-Shan
作者单位	1.Acad Sinica Beijing, Inst Syst Sci, Beijing, Peoples R China 2.Wichita State Univ, Dept Comp Sci, Wichita, KS 67208 USA
推荐引用方式 GB/T 7714	Gao, Xiao-Shan,Chou, Shang-Ching. ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES[J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,1991,1(2):125-136.
APA	Gao, Xiao-Shan,&Chou, Shang-Ching.(1991).ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES.INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS,1(2),125-136.
MLA	Gao, Xiao-Shan,et al."ON THE NORMAL PARAMETERIZATION OF CURVES AND SURFACES".INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS 1.2(1991):125-136.