INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L-2-GRADIENT FLOWS - COMPUTATIONAL METHODS

doi:10.4208/jcm.1106-m3302

	INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L-2-GRADIENT FLOWS - COMPUTATIONAL METHODS
	Xu, Guoliang 1; Li, Ming1 ; Gopinath, Ajay 2,3; Bajaj, Chandrajit L.2,3
	2011-09-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	29 期号:5 页码:501-525
摘要	In this paper, we present a stable, reliable and robust method for reconstructing a three dimensional density function from a set of two dimensional electric tomographic images. By minimizing an energy functional consisting of a fidelity term and a regularization term, an L-2-gradient flow is derived. The flow is integrated by a finite element method in the spatial direction and an explicit Euler scheme in temporal direction. The experimental results show that the proposed method is efficient and effective.
关键词	Computational Inversion Reconstruction Electric Tomography
DOI	10.4208/jcm.1106-m3302
语种	英语
资助项目	ICES ; NSFC[60773165] ; NSFC[10990013] ; Funds for Creative Research Groups of China[11021101] ; NIH[R01-EB00487] ; NIH[R01-GM074258] ; UT-Portugal COLAB
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000296473100002
出版者	VSP BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11336
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Guoliang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Texas Austin, Dept Comp Sci, Austin, TX 78712 USA 3.Univ Texas Austin, Inst Computat Engn & Sci, Austin, TX 78712 USA
推荐引用方式 GB/T 7714	Xu, Guoliang,Li, Ming,Gopinath, Ajay,et al. INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L-2-GRADIENT FLOWS - COMPUTATIONAL METHODS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2011,29(5):501-525.
APA	Xu, Guoliang,Li, Ming,Gopinath, Ajay,&Bajaj, Chandrajit L..(2011).INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L-2-GRADIENT FLOWS - COMPUTATIONAL METHODS.JOURNAL OF COMPUTATIONAL MATHEMATICS,29(5),501-525.
MLA	Xu, Guoliang,et al."INVERSION OF ELECTRON TOMOGRAPHY IMAGES USING L-2-GRADIENT FLOWS - COMPUTATIONAL METHODS".JOURNAL OF COMPUTATIONAL MATHEMATICS 29.5(2011):501-525.