A New Variational Model for Joint Image Reconstruction and Motion Estimation in Spatiotemporal Imaging
文献类型：期刊论文
| 作者 | Chen, Chong3; Gris, Barbara1; Oktem, Ozan2 |
| 刊名 | SIAM JOURNAL ON IMAGING SCIENCES
 |
| 出版日期 | 2019 |
| 卷号 | 12期号:4页码:1686-1719 |
| ISSN号 | 1936-4954 |
| 关键词 | spatiotemporal imaging image reconstruction motion estimation joint variational model shape theory large diffeomorphic deformations |
| DOI | 10.1137/18M1234047 |
| 英文摘要 | We propose a new variational model for joint image reconstruction and motion estimation applicable to spatiotemporal imaging, which is investigated along a general framework that we present with shape theory. This model consists of two parts, one that conducts modified image reconstruction in a static setting and the other that estimates the motion by sequentially indirect image registration. For the latter, we generalize the large deformation diffeomorphic metric mapping framework into the sequentially indirect registration setting. The proposed model is compared theoretically against alternative approaches (optical flow based model and diffeomorphic motion models), and we demonstrate that the proposed model has desirable properties in terms of the optimal solution. The theoretical derivations and efficient algorithms are also presented for a time-discretized scenario of the proposed model, which show that the optimal solution of the time-discretized version is consistent with that of the time-continuous one, and most of the computational components are the easily implemented linearized deformations. The complexity of the algorithm is analyzed as well. This work is concluded by some numerical examples in two-dimensional space + time tomography with very sparse and/or highly noisy data. |
| 资助项目 | Beijing Natural Science Foundation[Z180002] ; Swedish Foundation for Strategic Research[AM13-0049] |
| 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:000545944800005 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51726]  |
| 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 | 1.Sorbonne Univ, LJLL Lab Jacques Louis Lions, F-75005 Paris, France 2.KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Chong,Gris, Barbara,Oktem, Ozan. A New Variational Model for Joint Image Reconstruction and Motion Estimation in Spatiotemporal Imaging[J]. SIAM JOURNAL ON IMAGING SCIENCES,2019,12(4):1686-1719. |
| APA | Chen, Chong,Gris, Barbara,&Oktem, Ozan.(2019).A New Variational Model for Joint Image Reconstruction and Motion Estimation in Spatiotemporal Imaging.SIAM JOURNAL ON IMAGING SCIENCES,12(4),1686-1719. |
| MLA | Chen, Chong,et al."A New Variational Model for Joint Image Reconstruction and Motion Estimation in Spatiotemporal Imaging".SIAM JOURNAL ON IMAGING SCIENCES 12.4(2019):1686-1719. |
入库方式： OAI收割
来源：数学与系统科学研究院
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