低采样率下的高质量鬼成像（GI）对于科学研究和实际应用具有重要意义，为了在低采样率条件下重建高质量图像，提出了一种高质量的被动式压缩鬼成像重构算法（PCGI-LRC）。基于图像的非局域相似块堆叠而成的矩阵具有低秩和稀疏奇异值的假设，从理论和实验上证明了一种对最小二乘问题与非局域相似块低秩近似问题进行联合迭代求解的方法，能够在低采样率（6.25%~50%）条件下实现高质量鬼成像。实验结果表明：与基于稀疏基约束的GI（GI-SBC）和基于全变分约束的GI（GI-TVC）相比，PCGI-LRC在峰值信噪比、结构相似性系数和视觉观测等方面均更优，在抑制重构噪声的同时保持了目标的细节信息，其中PSNR提升效果优于1.1 dB，SSIM提升效果优于0.04。

High resolution imaging is achieved using increasingly larger apertures and successively shorter wavelengths. Optical aperture synthesis is an important high-resolution imaging technology used in astronomy. Conventional long baseline amplitude interferometry is susceptible to uncontrollable phase fluctuations, and the technical difficulty increases rapidly as the wavelength decreases. The intensity interferometry inspired by HBT experiment is essentially insensitive to phase fluctuations, but suffers from a narrow spectral bandwidth which results in a lack of effective photons. In this study, we propose optical synthetic aperture imaging based on spatial intensity interferometry. This not only realizes diffraction-limited optical aperture synthesis in a single shot, but also enables imaging with a wide spectral bandwidth, which greatly improves the optical energy efficiency of intensity interferometry. And this method is insensitive to the optical path difference between the sub-apertures. Simulations and experiments present optical aperture synthesis diffraction-limited imaging through spatial intensity interferometry in a 100 nm spectral width of visible light, whose maximum optical path difference between the sub-apertures reaches 69λ. This technique is expected to provide a solution for optical aperture synthesis over kilometer-long baselines at optical wavelengths.

光谱成像系统受色差影响会导致图谱混叠，本文将单像素成像以及计算关联成像分别与光谱成像系统相结合，并在系统中引入900~1 700 nm适用的消色差透镜来校正色差。首先计算出不同胶合消色差透镜的色差大小并以此选取透镜，所选消色差透镜相较其它透镜对色差校正可以提高一个量级。其次分析了色差对光谱成像系统的影响以及单像素成像和计算关联成像的差异。最后仿真和试验分析单像素光谱成像和计算关联光谱成像特点。试验结果表明对于900~1 700 nm的近红外光谱成像，基于消色差透镜的单像素光谱成像系统取得了更好的图像重构结果，其峰值信噪比（Peak Signal to Noise Ratio，PSNR）提高了3.93 dB，结构相似度（Structural Similarity, SSIM）提高了0.96%。消色差透镜的单像素光谱成像系统在近红外光谱成像中重构图像效果优于无消色差透镜的计算关联光谱成像。

In this study, we propose an underwater ghost-imaging scheme using a modulation pattern combining offset-position pseudo-Bessel-ring (OPBR) and random binary (RB) speckle pattern illumination. We design the experiments based on modulation rules to order the OPBR speckle patterns. We retrieve ghost images by OPBR beam with different modulation speckle sizes. The obtained ghost images have a better contrast-to-noise rate compared to RB beam ghost imaging under the same conditions. We verify the results both in the experiment and simulation. In addition, we also check the image quality at different turbidities. Furthermore, we demonstrate that the OPBR speckle pattern also provides better image quality in other objects. The proposed method promises wide applications in highly scattering media, atmosphere, turbid water, etc.