Spatiotemporal imaging with diffeomorphic optimal transportation
文献类型：期刊论文
| 作者 | Chen,Chong |
| 刊名 | Inverse Problems
 |
| 出版日期 | 2021-10-13 |
| 卷号 | 37期号:11 |
| 关键词 | spatiotemporal imaging di?eomorphic optimal transportation mass-preserving deformation |
| ISSN号 | 0266-5611 |
| DOI | 10.1088/1361-6420/ac2a91 |
| 英文摘要 | AbstractMotivated by the image reconstruction in spatiotemporal imaging, we introduce a concept named diffeomorphic optimal transportation (DOT), which combines the Wasserstein distance with Benamou–Brenier formula in optimal transportation and the flow of diffeomorphisms in large deformation diffeomorphic metric mapping. Using DOT, we propose a new variational model for joint?image reconstruction and motion estimation, which is suitable for spatiotemporal imaging involving mass-preserving large diffeomorphic deformations. We further get its equivalent PDE-constrained optimal control formulation. The proposed model is easy-to-implement and solved by an alternating gradient descent algorithm, which is compared against existing alternatives theoretically and numerically. The performance is validated by several numerical experiments in spatiotemporal tomography, where the projection data is time-dependent sparse and/or high-noise. Moreover, we present several extensions based on DOT. Under appropriate conditions, the proposed algorithm can be adapted as a new algorithm to solve the models using quadratic Wasserstein distance. |
| 语种 | 英语 |
| WOS记录号 | IOP:0266-5611-37-11-AC2A91 |
| 出版者 | IOP Publishing |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59129]  |
| 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 | LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China |
| 推荐引用方式 GB/T 7714 | Chen,Chong. Spatiotemporal imaging with diffeomorphic optimal transportation[J]. Inverse Problems,2021,37(11). |
| APA | Chen,Chong.(2021).Spatiotemporal imaging with diffeomorphic optimal transportation.Inverse Problems,37(11). |
| MLA | Chen,Chong."Spatiotemporal imaging with diffeomorphic optimal transportation".Inverse Problems 37.11(2021). |
入库方式： OAI收割
来源：数学与系统科学研究院
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