Existence and uniqueness of solutions of surface reconstruction problem

doi:10.1007/s10255-011-0054-1

CSpace

	Existence and uniqueness of solutions of surface reconstruction problem
	Jing, Zhu-cui; Xu, Guo-liang
	2011-04-01
发表期刊	ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
ISSN	0168-9673
卷号	27 期号:2 页码:263-276
摘要	Surface reconstruction from scattered data is an important problem in such areas as reverse engineering and computer aided design. In solving partial differential equations derived from surface reconstruction problems, level-set method has been successfully used. We present in this paper a theoretical analysis on the existence and uniqueness of the solution of a partial differential equation derived from a model of surface reconstruction using the level-set approach. We give the uniqueness analysis of the classical solution. Results on the existence and uniqueness of the viscosity solution are also established.
关键词	existence and uniqueness viscosity solution surface reconstruction
DOI	10.1007/s10255-011-0054-1
语种	英语
资助项目	National Natural Science Foundation of China[60773165] ; National Science Foundation of China[10990013]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000288251100008
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/11280
专题	中国科学院数学与系统科学研究院
通讯作者	Jing, Zhu-cui
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Jing, Zhu-cui,Xu, Guo-liang. Existence and uniqueness of solutions of surface reconstruction problem[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2011,27(2):263-276.
APA	Jing, Zhu-cui,&Xu, Guo-liang.(2011).Existence and uniqueness of solutions of surface reconstruction problem.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,27(2),263-276.
MLA	Jing, Zhu-cui,et al."Existence and uniqueness of solutions of surface reconstruction problem".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 27.2(2011):263-276.