Image reconstruction through metamorphosis
Gris,Barbara1; Chen,Chong2; ?ktem,Ozan3
Source PublicationInverse Problems
AbstractAbstract 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.
Keywordinverse problems image reconstruction large deformations metamorphosis
WOS IDIOP:0266-5611-36-2-ab5832
PublisherIOP Publishing
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Document Type期刊论文
Affiliation1.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
Recommended Citation
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).
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