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

CSpace > 系统科学研究所

	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
	2016-03-01
发表期刊	JOURNAL OF SYMBOLIC COMPUTATION
ISSN	0747-7171
卷号	73 页码:221-243
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.
关键词	Intersection curve Moving quadrics Signature sequence Index sequence Jordan form
DOI	10.1016/j.jsc.2015.05.002
语种	英语
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
WOS类目	Computer Science, Theory & Methods ; Mathematics, Applied
WOS记录号	WOS:000361856600012
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE 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/20832
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.