针对当训练样本量不足或者迭代次数降低时生成图像质量急剧下降的问题，提出了一种基于改进Fisher准则的深度卷积生成对抗网络算法（FDCGAN，Deep Convolutional Generative Adversarial Network algorithm based on improved Fisher's criterion）。该方法在判别模型中添加线性层，用来提取类别信息。在反向传播中采用基于Fisher的约束准则，结合标签和类别信息，在权值的迭代调整时既考虑误差的最小化，又同时让样本保持类内距离小、类间距离大，从而使权值能更加快速地逼近最优值。通过与最新不同的6个网络模型进行对比实验，FDCGAN模型在FID指标上均取得了较好的效果。此外，通过将该方法运用到目前先进模型上进行泛化测试，实验结果均取得较理想的效果。

Advances in vectorial polarization-resolved imaging are bringing new capabilities to applications ranging from fundamental physics through to clinical diagnosis. Imaging polarimetry requires determination of the Mueller matrix (MM) at every point, providing a complete description of an object’s vectorial properties. Despite forming a comprehensive representation, the MM does not usually provide easily interpretable information about the object’s internal structure. Certain simpler vectorial metrics are derived from subsets of the MM elements. These metrics permit extraction of signatures that provide direct indicators of hidden optical properties of complex systems, while featuring an intriguing asymmetry about what information can or cannot be inferred via these metrics. We harness such characteristics to reveal the spin Hall effect of light, infer microscopic structure within laser-written photonic waveguides, and conduct rapid pathological diagnosis through analysis of healthy and cancerous tissue. This provides new insight for the broader usage of such asymmetric inferred vectorial information.

We propose a sub-aperture stitching algorithm based on a frequency domain that can be denoted as a power spectral density (PSD). Our algorithm is verified by the experimental data obtained from measuring a Φ1.23 m mirror at the Changchun Institute of Optics, Fine Mechanics and Physics. Then, we apply it to the Great Steering Science Mirror (GSSM) of the Thirty Meter Telescope (TMT) with the simulated data before the preliminary design phase, and obtain a more objective result on the frequency domain aberrations. Therefore, the sub-aperture stitching-based PSD is expected to be useful for specifying a large aperture mirror surface for mirror vendors.