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Existence and uniqueness of solutions of surface reconstruction problem

文献类型：期刊论文

作者Jing, Zhu-cui; Xu, Guo-liang
刊名ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
出版日期2011-04-01
卷号27期号:2页码:263-276
关键词existence and uniqueness viscosity solution surface reconstruction
ISSN号0168-9673
DOI10.1007/s10255-011-0054-1
英文摘要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.
资助项目National Natural Science Foundation of China[60773165] ; National Science Foundation of China[10990013]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000288251100008
出版者SPRINGER HEIDELBERG
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11279]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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