Image reconstruction through metamorphosis

doi:10.1088/1361-6420/ab5832

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	Image reconstruction through metamorphosis
	Gris,Barbara 1; Chen,Chong 2; ?ktem,Ozan 3
	2020-01-23
发表期刊	Inverse Problems
ISSN	0266-5611
卷号	36 期号:2
摘要	Abstract The paper describes a method for reconstructing an image from noisy and indirect observations by registering, via metamorphosis, a template. The image registration part consists of two components, one is a geometric deformation that moves intensities without changing them and the other that changes intensity values. Unlike a registration with only geometrical deformation, this framework gives good results also when intensities of the template are poorly chosen. It also allows for appearance of a new structure. The approach is applicable to general inverse problems in imaging and we prove existence, stability and convergence, which implies that the method is a well-defined regularisation method. We also present several numerical examples from tomography.
关键词	inverse problems image reconstruction large deformations metamorphosis
DOI	10.1088/1361-6420/ab5832
语种	英语
WOS记录号	IOP:0266-5611-36-2-ab5832
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50301
专题	中国科学院数学与系统科学研究院
作者单位	1.Sorbonne Université, CNRS, Université de Paris, Laboratoire Jacques-Louis Lions (LJLL), F-75005 Paris, France 2.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 3.Department of Mathematics, KTH—Royal Institute of Technology, Stockholm, Sweden
推荐引用方式 GB/T 7714	Gris,Barbara,Chen,Chong,?ktem,Ozan. Image reconstruction through metamorphosis[J]. Inverse Problems,2020,36(2).
APA	Gris,Barbara,Chen,Chong,&?ktem,Ozan.(2020).Image reconstruction through metamorphosis.Inverse Problems,36(2).
MLA	Gris,Barbara,et al."Image reconstruction through metamorphosis".Inverse Problems 36.2(2020).