中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS FOR LEVEL SETS

文献类型：期刊论文

作者Chen, Chong; Xu, Guoliang
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2010
卷号28期号:1页码:105-121
关键词Geometric partial differential equations Level set Differential geometry operators
ISSN号0254-9409
DOI10.4208/jcm.2009.09-m2971
英文摘要Geometric partial differential equations of level-set form are usually constructed by a variational method using either Dirac delta function or co-area formula in the energy functional to be minimized. However, the equations derived by these two approaches are not consistent. In this paper, we present a third approach for constructing the level-set form equations. By representing various differential geometry quantities and differential geometry operators in terms of the implicit surface, we are able to reformulate three classes of parametric geometric partial differential equations (second-order, fourth-order and sixth-order) into the level-set forms. The reformulation of the equations is generic and simple, and the resulting equations are consistent with their parametric form counterparts. We further prove that the equations derived using co-area formula are also consistent with the parametric forms. However, these equations are of much complicated forms than these given by the equations we derived.
资助项目NSFC[60773165] ; NSFC Key Project[10990013] ; National Key Basic Research Project of China[2004CB318000]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000274262000008
出版者VSP BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/10872]  
专题中国科学院数学与系统科学研究院
通讯作者Chen, Chong
作者单位Chinese Acad Sci, Grad Univ, Acad Math & Syst Sci, ICMSEC,LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Chen, Chong,Xu, Guoliang. CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS FOR LEVEL SETS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2010,28(1):105-121.
APA Chen, Chong,&Xu, Guoliang.(2010).CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS FOR LEVEL SETS.JOURNAL OF COMPUTATIONAL MATHEMATICS,28(1),105-121.
MLA Chen, Chong,et al."CONSTRUCTION OF GEOMETRIC PARTIAL DIFFERENTIAL EQUATIONS FOR LEVEL SETS".JOURNAL OF COMPUTATIONAL MATHEMATICS 28.1(2010):105-121.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。