Simultaneous activity and attenuation estimation in TOF-PET with TV-constrained nonconvex optimization
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909101069434880 |
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| author | Ren, Zhimei Sidky, Emil Y. Barber, Rina Foygel Kao, Chien-Min Pan, Xiaochuan |
| author_facet | Ren, Zhimei Sidky, Emil Y. Barber, Rina Foygel Kao, Chien-Min Pan, Xiaochuan |
| contents | An alternating direction method of multipliers (ADMM) framework is developed for nonsmooth biconvex optimization for inverse problems in imaging. In particular, the simultaneous estimation of activity and attenuation (SAA) problem in time-of-flight positron emission tomography (TOF-PET) has such a structure when maximum likelihood estimation (MLE) is employed. The ADMM framework is applied to MLE for SAA in TOF-PET, resulting in the ADMM-SAA algorithm. This algorithm is extended by imposing total variation (TV) constraints on both the activity and attenuation map, resulting in the ADMM-TVSAA algorithm. The performance of this algorithm is illustrated using the penalized maximum likelihood activity and attenuation estimation (P-MLAA) algorithm as a reference. Additional results on step-size tuning and on the use of unconstrained ADMM-SAA are presented in the previous arXiv submission: arXiv:2303.17042v1. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17042 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simultaneous activity and attenuation estimation in TOF-PET with TV-constrained nonconvex optimization Ren, Zhimei Sidky, Emil Y. Barber, Rina Foygel Kao, Chien-Min Pan, Xiaochuan Medical Physics Optimization and Control An alternating direction method of multipliers (ADMM) framework is developed for nonsmooth biconvex optimization for inverse problems in imaging. In particular, the simultaneous estimation of activity and attenuation (SAA) problem in time-of-flight positron emission tomography (TOF-PET) has such a structure when maximum likelihood estimation (MLE) is employed. The ADMM framework is applied to MLE for SAA in TOF-PET, resulting in the ADMM-SAA algorithm. This algorithm is extended by imposing total variation (TV) constraints on both the activity and attenuation map, resulting in the ADMM-TVSAA algorithm. The performance of this algorithm is illustrated using the penalized maximum likelihood activity and attenuation estimation (P-MLAA) algorithm as a reference. Additional results on step-size tuning and on the use of unconstrained ADMM-SAA are presented in the previous arXiv submission: arXiv:2303.17042v1. |
| title | Simultaneous activity and attenuation estimation in TOF-PET with TV-constrained nonconvex optimization |
| topic | Medical Physics Optimization and Control |
| url | https://arxiv.org/abs/2303.17042 |