Interior and Sparse-View Image Reconstruction Using a Mixed Region and Voxel-Based ML-EM Algorithm
We propose a new interior region-of-interest (ROI) image reconstruction method for emission tomography. The additional information to make the interior problem uniquely solvable is that a specific region inside the interior ROI is known to have uniform intensity level, but the constant level is unkn...
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| Veröffentlicht in: | IEEE transactions on nuclear science Jg. 59; H. 5; S. 1997 - 2007 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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IEEE
01.10.2012
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| ISSN: | 0018-9499, 1558-1578 |
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| Abstract | We propose a new interior region-of-interest (ROI) image reconstruction method for emission tomography. The additional information to make the interior problem uniquely solvable is that a specific region inside the interior ROI is known to have uniform intensity level, but the constant level is unknown. The uniqueness of solution in this situation is analyzed by combining two existing approaches, namely (1) when the full knowledge of a small region inside the interior ROI is known, and (2) when the complete interior ROI is piecewise constant. The image reconstruction is provided by a mixed region and voxel based Poisson likelihood ML-EM algorithm that takes care of the photon statistics and the uniform attenuation effect in emission tomography. This algorithm reconstructs the unknown constant (region-model) and the rest of the interior ROI (voxel-model) simultaneously. The uniqueness result assumes that all line integrals through the interior ROI are acquired. When only a finite number of projection views are available, the mixed region and voxel based ML-EM algorithm can also reduce image artifacts from sparse-view and interior data acquisition in stationary multipinhole SPECT. |
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| AbstractList | We propose a new interior region-of-interest (ROI) image reconstruction method for emission tomography. The additional information to make the interior problem uniquely solvable is that a specific region inside the interior ROI is known to have uniform intensity level, but the constant level is unknown. The uniqueness of solution in this situation is analyzed by combining two existing approaches, namely (1) when the full knowledge of a small region inside the interior ROI is known, and (2) when the complete interior ROI is piecewise constant. The image reconstruction is provided by a mixed region and voxel based Poisson likelihood ML-EM algorithm that takes care of the photon statistics and the uniform attenuation effect in emission tomography. This algorithm reconstructs the unknown constant (region-model) and the rest of the interior ROI (voxel-model) simultaneously. The uniqueness result assumes that all line integrals through the interior ROI are acquired. When only a finite number of projection views are available, the mixed region and voxel based ML-EM algorithm can also reduce image artifacts from sparse-view and interior data acquisition in stationary multipinhole SPECT. |
| Author | Jingyan Xu Tsui, B. M. W. |
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| Cites_doi | 10.1088/0031-9155/54/19/009 10.1088/0031-9155/54/18/N04 10.1155/2007/63634 10.1118/1.3549763 10.1137/0515055 10.1097/00004728-198607000-00021 10.1088/0031-9155/53/9/001 10.1109/TMI.1982.4307558 10.1088/0266-5611/28/1/015001 10.1109/NSSMIC.2008.4774202 10.1088/0031-9155/39/3/010 10.1364/JOSAA.7.001834 10.1002/cnm.1206 10.1088/0031-9155/51/21/015 10.1088/0031-9155/54/9/014 10.1109/MSP.2010.936743 10.1109/TMI.2002.803129 10.1109/42.870254 10.1088/0266-5611/26/3/035013 10.1088/0266-5611/24/6/065001 10.1109/TMI.2010.2048335 10.1137/1.9780898719284 |
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| SubjectTerms | Attenuation Collimators Detectors Exponential radon transform Image reconstruction Image representation interior problem ML-EM molecular imaging multimodality multipinhole collimator Phantoms Poisson likelihood ROI image reconstruction Single photon emission computed tomography sparse-view reconstruction stationary SPECT |
| Title | Interior and Sparse-View Image Reconstruction Using a Mixed Region and Voxel-Based ML-EM Algorithm |
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