Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space

doi:10.1016/j.jsc.2015.05.002

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	Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space
	Jia, Xiaohong1,2 ; Wang, Wenping 3; Choi, Yi-King 3; Mourrain, Bernard 4; Tu, Changhe 5
刊名	JOURNAL OF SYMBOLIC COMPUTATION
	2016-03-01
卷号	73 页码:221-243
关键词	Intersection curve Moving quadrics Signature sequence Index sequence Jordan form
ISSN号	0747-7171
DOI	10.1016/j.jsc.2015.05.002
英文摘要	We propose a symbolic algorithm for detecting the variations in the topological and algebraic properties of the intersection curve of two quadratic surfaces (QSIC) that are moving or deforming in PR3 (real projective 3-space). The core of our algorithm computes all the critical instants when the QSIC changes type using resultants and Jordan forms. These critical instants partition the time axis into intervals within which the QSIC is invariant. The QSIC at the computed critical instants and within the time intervals can both be exactly determined using symbolic technique. Examples are provided to illustrate our algorithm. (C) 2015 Elsevier Ltd. All rights reserved.
资助项目	National Key Basic Research Project of China[2011CB302404] ; NSFC[60821002] ; NSFC[91118001] ; NSFC[11201463] ; National Center for Mathematics and Interdisciplinary Sciences
WOS研究方向	Computer Science ; Mathematics
语种	英语
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
WOS记录号	WOS:000361856600012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20831]
专题	系统科学研究所
通讯作者	Jia, Xiaohong
作者单位	1.Chinese Acad Sci, KLMM, NCMIS, Beijing, Peoples R China 2.Chinese Acad Sci, AMSS, Beijing, Peoples R China 3.Univ Hong Kong, Hong Kong, Hong Kong, Peoples R China 4.INRIA Mediterranee, GALAAD, F-06902 Sophia Antipolis, France 5.Shandong Univ, Jinan, Shandong, Peoples R China
推荐引用方式 GB/T 7714	Jia, Xiaohong,Wang, Wenping,Choi, Yi-King,et al. Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space[J]. JOURNAL OF SYMBOLIC COMPUTATION,2016,73:221-243.
APA	Jia, Xiaohong,Wang, Wenping,Choi, Yi-King,Mourrain, Bernard,&Tu, Changhe.(2016).Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space.JOURNAL OF SYMBOLIC COMPUTATION,73,221-243.
MLA	Jia, Xiaohong,et al."Continuous detection of the variations of the intersection curve of two moving quadrics in 3-dimensional projective space".JOURNAL OF SYMBOLIC COMPUTATION 73(2016):221-243.