光子集成干涉成像图像重构熵先验.docx
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2023-02-23
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摘要
光子集成干涉成像方法是近年来发展起来的一种以高质量成像和系统扁平化为目标的远场
成像方法,有望在同等分辨率下系统的能耗、体积和质量均减小至 1/10~1/100。但是现有
系统对于高频信号的采样具有稀疏特性,当使用傅里叶逆变换(IFT)求解物体强度分布时,复
原的观测目标在锐边处出现 Gibbs 振铃伪影,从而影响成像质量。为了抑制伪影,提出熵先
验并研究熵惩罚特性,利用熵先验并结合光子集成干涉成像的特点设计最大熵方法。为了验
证方法的性能,采用性能较好的多层分级孔径排布结构进行仿真模拟,使用峰值信噪比
(PSNR)、结构相似性系数(SSIM)和均方误差(MSE)作为像质评价手段。仿真结果表明,最
大熵方法可以消除由高频稀疏采样带来的伪影,对于受振铃影响明显的图像,MSE 和 SSIM
有 50%以上的提升,PSNR 提升 10%以上。
Abstract
Photonics integrated interference imaging method is a far-field imaging method
developed in recent years, which aims at high quality imaging and system flattening. It is
expected to reduce the energy consumption, volume, and weight of the system can be
reduced to 1/10~1/100 under the same resolution. However, the existing systems have
sparse characteristics for high-frequency signal sampling. When inverse Fourier
transform (IFT) is used to solve the object intensity distribution, Gibbs ringing artifact
appears in the sharp edge of the restored observation target, thus affecting the image
quality. In order to suppress artifacts, entropy prior is proposed and the entropy penalty
characteristics are studied. The maximum entropy algorithm is designed by using entropy
prior and combining with the characteristics of photonics integrated interference imaging.
In order to verify the performance of the method, a multi-layer hierarchical aperture
arrangement structure with better performance is used for simulation, and peak signal-to-
noise ratio (PSNR), structural similarity coefficient (SSIM), and mean square error (MSE)
are used as image quality evaluation methods. Simulation results show that the
maximum entropy algorithm can eliminate the artifacts caused by high-frequency sparse
sampling. For the images obviously affected by ringing, MSE and SSIM can be improved
by more than 50%, and PSNR can be improved by more than 10%.
1 引言
传统衍射受限光学系统的角分辨率与系统口径成正比。随着深空探测技术及对地遥感技术
的发展,衍射系统对望远镜分辨率的要求越来越高,这会导致传统光学系统的尺寸、质量和
功率(SWaP)急剧增大,同时军事和民用光学领域对系统的集成化和小型化也提出了迫切需
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