光学学报, 2018, 38 (4): 0411002, 网络出版: 2018-07-10
基于相位恢复的失配反射层析图像重建算法 
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Misaligned Reflective Tomography Image Reconstruction Algorithm Based on Phase Retrieval
图 & 表
图 1. 投影变换示意图。(a)时域投影;(b)中心频率切片
Fig. 1. Diagram of projection transform. (a) Projection in time domain; (b) center frequency slice
图 3. 坐标系设置示意图。 (a)观察坐标系;(b)目标本体坐标系
Fig. 3. Sketch of coordinates. (a) Observation coordinates; (b) target coordinates
图 4. 圆锥体三维模型示意图。(a) θ=0°; (b) θ=45°; (c) θ=90°; (d) θ=180°
Fig. 4. Diagram of three-dimensional model of a cone. (a) θ=0°; (b) θ=45°; (c) θ=90°; (d) θ=180°
图 5. 反射层析重建图像相位恢复流程图
Fig. 5. Flow chart of phase retrieval of reflective tomography reconstructed images
图 6. 圆锥体投影分布图。(a)关于旋转中心对齐的投影;(b)加入随机偏移量的失配投影
Fig. 6. Distribution of cone projections. (a) Aligned projections according to target rotation center; (b) misaligned projections with random shift
图 7. 不同条件下投影重建图像。(a) Δθ=1°; (b) Δθ=1°时投影平移重建图像; (c) Δθ=5°; (d) Δθ=5°时投影平移重建图像; (e) Δθ=9°; (f) Δθ=9°时投影平移重建图像; (g) Δθ=18°; (h) Δθ=18°时投影平移重建图像
Fig. 7. Images reconstructed from projections under different conditions. (a) Δθ=1°; (b) image of projections translation when Δθ=1°; (c) Δθ=5°; (d) image of projections translation when Δθ=5°; (e) Δθ=9°; (f) image of projections translation when Δθ=9°; (g) Δθ=18°; (h) image of projections translation when Δθ=18°
图 8. 不同条件下投影重建图像的频谱幅度分布。(a) Δθ=1°时配准频谱; (b) Δθ=1°时未配准频谱; (c) Δθ=5°时配准频谱; (d) Δθ=5°时未配准频谱; (e) Δθ=9°时配准频谱; (f) Δθ=9°时未配准频谱; (g) Δθ=18°时配准频谱; (h) Δθ=18°时未配准频谱
Fig. 8. Spectral amplitude distribution of images reconstructed from projections under different conditions. (a) Registered spectrum when Δθ=1°; (b) unregistered spectrum when Δθ=1°; (c) registered spectrum when Δθ=5°; (d) unregistered spectrum when Δθ=5°; (e) registered spectrum when Δθ=9°; (f) unregistered spectrum when Δθ=9°; (g) registered spectrum when Δθ=18°; (h) unregistered spectrum when Δθ=18°
图 9. 不同初始矩阵的相位恢复图像。(a)、(d)、(g)、(j)初始矩阵失配反投影重建图像; (b)、(e)、(h)、(k)范围0~255的随机数矩阵; (c)、(f)、(i)、(l)数值为10的常数矩阵
Fig. 9. Phase retrieval images using different initial matrices. (a),(d),(g),(j) Initial matrix images reconstructed with misalignment;(b),(e),(h),(k) random number matrix between 0 and 255; (c),(f),(i),(l) constant matrix with value 10
表 1不同Δθ值和不同初始矩阵重建图像的MSE
Table1. Reconstructed image MSE of different initial matrixes when Δθ is different
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陈剑彪, 孙华燕, 赵延仲, 单聪淼. 基于相位恢复的失配反射层析图像重建算法[J]. 光学学报, 2018, 38(4): 0411002. Jianbiao Chen, Huayan Sun, Yanzhong Zhao, Congmiao Shan. Misaligned Reflective Tomography Image Reconstruction Algorithm Based on Phase Retrieval[J]. Acta Optica Sinica, 2018, 38(4): 0411002.
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