激光与光电子学进展, 2018, 55 (11): 111103, 网络出版: 2019-08-14
基于改进广义全变分的稀疏图像重建算法 
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Sparse Image Reconstruction Based on Improved Total Generalized Variation
图 & 表
图 2. 测试用的图像数据。(a) Sheep-Logan 图像;(b) Forbild-Head 图像;(c) Forbild-Abdomen 图像
Fig. 2. Image data used in the test. (a) Sheep-Logan image; (b) Forbild-Head image; (c) Forbild-Abdomen image
图 3. 测试图像设置的ROI区。(a) Sheep-Logan图像;(b) Forbild-Head图像;(c) Forbild-Abdomen图像
Fig. 3. ROI regions of the test images. (a) Sheep-Logan image; (b) Forbild-Head image; (c) Forbild-Abdomen image
图 4. 有限角度各算法重建图像及ROI对比(Sheep-Logan)。(a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM 算法;(f)本文算法
Fig. 4. Reconstructed image and ROI comparison of different algorithms in finite angle (Sheep-Logan). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
图 5. 有限角度各算法重建图像及ROI对比(Forbild-Head)。 (a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM 算法;(f)本文算法
Fig. 5. Reconstructed image and ROI comparison of different algorithms in finite angle (Forbild-Head). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
图 6. 有限角度各算法重建图像及ROI对比(Forbild-Abdomen)。 (a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM 算法;(f)本文算法
Fig. 6. Reconstructed image and ROI comparison of different algorithms in finite angle (Forbild-Abdomen). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
图 7. 稀疏角度各算法重建图像及ROI对比(Sheep-Logan)。 (a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM算法;(f)本文算法
Fig. 7. Reconstructed image and ROI comparison of different algorithms in sparse angle (Sheep-Logan). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
图 8. 稀疏角度各算法重建图像及ROI对比(Forbild-Head)。 (a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM算法;(f)本文算法
Fig. 8. Reconstructed image and ROI comparison of different algorithms in sparse angle (Forbild-Head). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
图 9. 稀疏角度各算法重建图像及ROI对比(Forbild-Abdomen)。 (a)原始图像;(b) L1-Bregman 算法;(c) TV-ADM 算法;(d) TVAL3 算法;(e) TGV-ADM算法;(f)本文算法
Fig. 9. Reconstructed image and ROI comparison of different algorithms in sparse angle (Forbild-Abdomen). (a) Original image; (b) L1-Bregman algorithm; (c) TV-ADM algorithm; (d) TVAL3 algorithm; (e) TGV-ADM algorithm; (f) proposed algorithm
表 2有限投影角度下各算法重建图像的客观评价参数对比
Table2. Comparison of objective evaluation parameters of reconstructed images of various algorithms under finite projection angle
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表 3稀疏投影角度下各算法重建图像的客观评价参数对比
Table3. Comparison of objective evaluation parameters of reconstructed images of various algorithms under sparse projection angle
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班晓征, 李志华, 李贝贝, 徐敏达. 基于改进广义全变分的稀疏图像重建算法[J]. 激光与光电子学进展, 2018, 55(11): 111103. Xiaozheng Ban, Zhihua Li, Beibei Li, Minda Xu. Sparse Image Reconstruction Based on Improved Total Generalized Variation[J]. Laser & Optoelectronics Progress, 2018, 55(11): 111103.
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