# 基于解卷积透过散射介质大视场成像恢复方法Large Field of View Imaging Restoration Method Based on Deconvolution through Scattering Media

DOI: 10.12677/MP.2020.106013, PDF, HTML, XML, 下载: 124  浏览: 535  国家自然科学基金支持

Abstract: By deconvolution method based on optical memory effect, we can realize the image restoration of objects through thin scattering medium. However, the range of single optical memory effect is lim-ited by the thickness of scattering medium, and the field of view is very narrow, which is not con-ducive to practical application. In this paper, we show two methods to achieve large field of view imaging recovery through scattering media, the decorrelation based on point spread function in different regions and the independent acquisition of speckle in different regions. The experimental results show that both methods are effective for scattering imaging recovery of objects beyond the range of single memory effect.

1. 引言

2. 散斑相关物理基础和解卷积原理

2.1. 光学记忆效应

$C\left(qL\right)={\left[qL/\mathrm{sinh}\left(qL\right)\right]}^{2}$ (1)

$\frac{\Delta x}{u}\approx 2\Delta \theta$ (2)

$\Delta x\le u\frac{\lambda }{\pi L}$ (3)

Figure 1. Schematic diagram of the range of optical memory effects

2.2. 解卷积法原理

$I\left({x}_{i},{y}_{i}\right)=F\left({x}_{i},{y}_{i}\right)\iint PSF\left({x}_{i},{y}_{i};{x}_{o},{y}_{o}\right)O\left({x}_{o},{y}_{o}\right)\text{d}{x}_{o}\text{d}{y}_{o}$ (4)

$I=F\cdot \left(O\ast PSF\right)$ (5)

$F\left\{O\right\}=\frac{F{\left\{PSF\right\}}^{*}}{{|F\left\{PSF\right\}|}^{2}+\frac{{S}_{N}}{{S}_{O}}}F\left\{I\right\}$ (6)

3. 基于解卷积的大视场成像方法原理

3.1. 不同区域PSF的去相关性

$I=\underset{m}{\sum }{I}_{m}=\underset{m}{\sum }{O}_{m}\ast PS{F}_{m}$ (7)

$PS{F}_{m}\star PS{F}_{n}\approx \left\{\begin{array}{l}0\text{}m\ne n\\ \delta \text{}m=n\end{array}$ (8)

$I\star PS{F}_{n}=\underset{m}{\sum }\left({O}_{m}*PS{F}_{m}\right)\star PS{F}_{n}=\underset{m\ne n}{\sum }\left({O}_{m}*PS{F}_{m}\right)\star PS{F}_{n}+\left({O}_{n}*PS{F}_{n}\right)\star PS{F}_{n}$ (9)

$I\star PS{F}_{n}\approx {O}_{n}+C$ (10)

${O}_{n}=deconv\left(I,PS{F}_{n}\right)$ (11)

3.2. 不同区域散斑的独立获取

$O=\underset{n}{\sum }{O}_{n}=\underset{n}{\sum }deconv\left({I}_{n},PSF\right)$ (12)

4. 实验系统和实验结果

Figure 2. Experimental system diagrams for different PSFs

Figure 3. Experimental system diagram of target speckle in different regions

Figure 4. Block diagram of the method of decoherence based on PSF in different regions

Figure 5. Central PSF image recovery results

Figure 6. Reconstruction results of decoherent large field of view imaging based on PSFs of different regions

Figure 7. Frame map of speckle independent acquisition in different regions

Figure 8. Image restoration results of speckle independent acquisition in different regions

5. 结论

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