Indirect Image Registration with Large Diffeomorphic Deformations

doi:10.1137/17M1134627

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Indirect Image Registration with Large Diffeomorphic Deformations
	Chen, Chong1 ; Oktem, Ozan 2
刊名	SIAM JOURNAL ON IMAGING SCIENCES
	2018
卷号	11 期号:1 页码:575-617
关键词	indirect image registration shape theory large deformations diffeomorphisms shape regularization image reconstruction tomography
ISSN号	1936-4954
DOI	10.1137/17M1134627
英文摘要	This paper adapts the large deformation diffeomorphic metric mapping framework for image registration to the indirect setting, where a template is registered against a target that is given through indirect noisy observations. The registration uses diffeomorphisms that transform the template through a (group) action. These diffeomorphisms are generated by solving a flow equation that is defined by a velocity field with certain regularity. The theoretical analysis includes a proof that indirect image registration has solutions (existence) that are stable and that converge as the data error tends to zero, so it becomes a well-defined regularization method. The paper concludes with examples of indirect image registration in 2D tomography with very sparse and/or highly noisy data.
资助项目	Swedish Foundation for Strategic Research[AM13-0049] ; National Natural Science Foundation of China (NSFC)[11301520]
WOS研究方向	Computer Science ; Mathematics ; Imaging Science & Photographic Technology
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000428946200019
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/29940]
专题	计算数学与科学工程计算研究所
通讯作者	Chen, Chong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China 2.KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
推荐引用方式 GB/T 7714	Chen, Chong,Oktem, Ozan. Indirect Image Registration with Large Diffeomorphic Deformations[J]. SIAM JOURNAL ON IMAGING SCIENCES,2018,11(1):575-617.
APA	Chen, Chong,&Oktem, Ozan.(2018).Indirect Image Registration with Large Diffeomorphic Deformations.SIAM JOURNAL ON IMAGING SCIENCES,11(1),575-617.
MLA	Chen, Chong,et al."Indirect Image Registration with Large Diffeomorphic Deformations".SIAM JOURNAL ON IMAGING SCIENCES 11.1(2018):575-617.