Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method.
This paper presents a total variation (TV) regularized reconstruction algorithm for 3D positron emission tomography (PET). The proposed method first employs the Fourier rebinning algorithm (FORE), rebinning the 3D data into a stack of ordinary 2D data sets as sinogram data. Then, the resulted 2D sin...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2015-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0138483 |
| _version_ | 1818986522532118528 |
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| author | Haiqing Yu Zhi Chen Heye Zhang Kelvin Kian Loong Wong Yunmei Chen Huafeng Liu |
| author_facet | Haiqing Yu Zhi Chen Heye Zhang Kelvin Kian Loong Wong Yunmei Chen Huafeng Liu |
| author_sort | Haiqing Yu |
| collection | DOAJ |
| description | This paper presents a total variation (TV) regularized reconstruction algorithm for 3D positron emission tomography (PET). The proposed method first employs the Fourier rebinning algorithm (FORE), rebinning the 3D data into a stack of ordinary 2D data sets as sinogram data. Then, the resulted 2D sinogram are ready to be reconstructed by conventional 2D reconstruction algorithms. Given the locally piece-wise constant nature of PET images, we introduce the total variation (TV) based reconstruction schemes. More specifically, we formulate the 2D PET reconstruction problem as an optimization problem, whose objective function consists of TV norm of the reconstructed image and the data fidelity term measuring the consistency between the reconstructed image and sinogram. To solve the resulting minimization problem, we apply an efficient methods called the Bregman operator splitting algorithm with variable step size (BOSVS). Experiments based on Monte Carlo simulated data and real data are conducted as validations. The experiment results show that the proposed method produces higher accuracy than conventional direct Fourier (DF) (bias in BOSVS is 70% of ones in DF, variance of BOSVS is 80% of ones in DF). |
| first_indexed | 2024-12-20T18:52:08Z |
| format | Article |
| id | doaj.art-fd344d2fac2f42e2b86fb78554bbb7af |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-20T18:52:08Z |
| publishDate | 2015-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-fd344d2fac2f42e2b86fb78554bbb7af2022-12-21T19:29:35ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01109e013848310.1371/journal.pone.0138483Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method.Haiqing YuZhi ChenHeye ZhangKelvin Kian Loong WongYunmei ChenHuafeng LiuThis paper presents a total variation (TV) regularized reconstruction algorithm for 3D positron emission tomography (PET). The proposed method first employs the Fourier rebinning algorithm (FORE), rebinning the 3D data into a stack of ordinary 2D data sets as sinogram data. Then, the resulted 2D sinogram are ready to be reconstructed by conventional 2D reconstruction algorithms. Given the locally piece-wise constant nature of PET images, we introduce the total variation (TV) based reconstruction schemes. More specifically, we formulate the 2D PET reconstruction problem as an optimization problem, whose objective function consists of TV norm of the reconstructed image and the data fidelity term measuring the consistency between the reconstructed image and sinogram. To solve the resulting minimization problem, we apply an efficient methods called the Bregman operator splitting algorithm with variable step size (BOSVS). Experiments based on Monte Carlo simulated data and real data are conducted as validations. The experiment results show that the proposed method produces higher accuracy than conventional direct Fourier (DF) (bias in BOSVS is 70% of ones in DF, variance of BOSVS is 80% of ones in DF).https://doi.org/10.1371/journal.pone.0138483 |
| spellingShingle | Haiqing Yu Zhi Chen Heye Zhang Kelvin Kian Loong Wong Yunmei Chen Huafeng Liu Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. PLoS ONE |
| title | Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. |
| title_full | Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. |
| title_fullStr | Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. |
| title_full_unstemmed | Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. |
| title_short | Reconstruction for 3D PET Based on Total Variation Constrained Direct Fourier Method. |
| title_sort | reconstruction for 3d pet based on total variation constrained direct fourier method |
| url | https://doi.org/10.1371/journal.pone.0138483 |
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