光学学报, 2020, 40 (1): 0111025, 网络出版: 2020-01-06
宽视场偏振调制成像的变指数正则化重构方法 
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Reconstruction of Variable Exponential Regularization for Wide-Field Polarization-Modulated Imaging
图 & 表
图 1. 宽视场偏振调制成像系统的实验光路
Fig. 1. Experimental optical path of wide-field polarization-modulated imaging system
图 2. 偏振调制成像阶段获得的PSF模型
Fig. 2. Model of PSF obtained during polarization-modulated imaging stage
图 4. 原图与偏振成像图对比。(a)原图;(b) sin δ成像图;(c) φ成像图
Fig. 4. Comparison of original and polarimetric images. (a) Original image; (b) sin δ image; (c) φ image
图 5. 原图与偏振成像图对比。(a)(d) 原图;(b)(e) sin δ成像图;(c)(f) φ成像图
Fig. 5. Comparison of original and polarimetric images. (a)(d) Original images; (b)(e) sin δ images; (c)(f) φ images
图 6. 偏振成像图与FDTD仿真图对比。(a) sin δ成像图;(b) φ成像图;(c)仿真sin δ成像图;(d)仿真φ成像图
Fig. 6. Comparison of polarimetric and FDTD-simulated images. (a) sin δ image; (b) φ image; (c) simulated sin δ image; (d) simulated φ image
图 7. 粒子沿切线方向的光强剖面图。(a)原图;(b)偏振成像图;(c)原图所有像素点光强变化曲线;(d)偏振成像图所有像素点光强变化曲线;(e)原图粒子光强变化曲线;(f)偏振成像图粒子光强变化曲线
Fig. 7. Light-intensity profiles of particle along tangent direction. (a) Original image; (b) polarimetric image; (c) light-intensity change of all pixel points in origin image; (d) light-intensity change of all pixel points in polarimetric image; (e) light-intensity change of particle pixel points in origin image; (f) light-intensity change of particle pixel points in polarimetric image
图 8. Stokes参数图像。(a)~(d)参数 S0、S1、S2、S3的图像;(e)~(h)从参数S0、S1、S2、S3图像中相同位置提取的一个粒子;(i)~(l) FDTD仿真的参数S0、S1、S2、S3图像
Fig. 8. Images of Stokes parameters. (a)--(d) Images of S0, S1, S2, and S3 parameters; (e)--(h) one particle extracted from images of S0, S1, S2, and S3 parameters at same place; (i)--(l) images of S0, S1, S2, and S3 parameters obtained from FDTD simulations
图 9. 偏振调制成像结果的PSF。(a)~(c)未优化的待测样本成像图、sin δ成像图和φ成像图的PSF模型;(d)~(f)优化后的原图、sin δ成像图、φ成像图的PSF模型
Fig. 9. PSF models of polarization-modulated imaging results. (a)--(c) Non-optimized PSF models of original image of sample to be tested, sin δ image, and φ image; (d)--(f) optimized PSF models of original image, sin δ image, and φ image
图 10. 利用所提方法对sin δ成像图进行重建的效果比较。(a)(d)(f) sin δ成像图原图;(b)(e)(g)本文算法优化结果;(c)图10 (a)和(b)图像差值
Fig. 10. Comparison of reconstruction effects of sin δ images by proposed method. (a)(d)(f) Original sin δ images; (b)(e)(g) optimized results by proposed method; (c) image difference between Fig. 10 (a) and Fig. 10 (b)
图 11. 本文算法对φ成像图进行优化的成像效果比较。(a)(d)(f) φ成像图原图;(b)(e)(g)变指数优化结果;(c)图11 (a)和(b)图像差值
Fig. 11. Comparison of reconstruction effects of φ images by proposed method. (a)(d)(f) Original φ images; (b)(e)(g) results of variable exponential optimization; (c) image difference between Fig. 11 (a) and Fig. 11 (b)
图 12. 本文算法、TV正则化和Tikhonov正则化的成像效果比较
Fig. 12. Comparison of imaging effects among proposed method, TV regularization, and Tikhonov regularization
图 13. 聚苯乙烯球偏振调制成像结果的PSF模型。(a)未优化的待测样本sin δ成像图PSF模型;(b)未优化的待测样本φ成像图PSF模型;(c)优化后的sin δ成像图PSF模型;(d)优化后的φ成像图PSF模型
Fig. 13. PSF models of polarization-modulated imaging results of polyethylene spheres. (a) PSF model of non-optimized sin δ image of sample to be tested; (b) PSF model of non-optimized φ image of sample to be tested; (c) PSF model of optimized sin δ image; (d) PSF model of optimized φ image
图 14. 利用所提方法对sin δ成像图重建的效果。(a)(c)(e) sin δ成像图原图;(b)(d)(f)本文算法优化结果
Fig. 14. Reconstruction effects of sin δ image by proposed method. (a)(c)(e) Original sin δ image; (b)(d)(f) optimized results by proposed method
图 15. 利用所提方法对φ成像图重建的效果。(a)(c)(e) φ成像图原图;(b)(d)(f)本文算法优化结果
Fig. 15. Reconstruction effects of φ image by proposed method. (a)(c)(e) Original φ images; (b)(d)(f) optimized results by proposed method
表 1通过三种算法优化所得图像的客观评价指标
Table1. Objectiveevaluation indexes of sin δ and φ images optimized by three methods
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表 2通过三种算法优化所得图像的客观评价指标
Table2. Objectiveevaluation indexes of sin δ and φ images optimized by three methods
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吴穹, 高昆, 张震洲, 豆泽阳, 刘卫平, 熊吉川. 宽视场偏振调制成像的变指数正则化重构方法[J]. 光学学报, 2020, 40(1): 0111025. Qiong Wu, Kun Gan, Zhenzhou Zhang, Zeyang Dou, Weiping Liu, Jichuan Xiong. Reconstruction of Variable Exponential Regularization for Wide-Field Polarization-Modulated Imaging[J]. Acta Optica Sinica, 2020, 40(1): 0111025.
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