López-García Lourdes, Cruz-Santos William, García-Arellano Anmi, Filio-Aguilar Pedro, Cisneros-Martínez José A, Ramos-García Rubén
Opt Express. 2022 Apr 11;30(8):13714-13732. doi: 10.1364/OE.451656.
Single-pixel imaging is a technique that can reconstruct an image of a scene by projecting a series of spatial patterns on an object and capturing the reflected light by a single photodetector. Since the introduction of the compressed sensing method, it has been possible to use random spatial patterns and reduce its number below the Nyquist-Shannon limit to form a good quality image but with lower spatial resolution. On the other hand, Hadamard pattern based methods can reconstruct large images by increasing the acquisition measurement time. Here, we propose an efficient strategy to order the Hadamard basis patterns from higher to lower relevance, and then to reconstruct an image at very low sampling rates of at least 8%. Our proposal is based on the construction of generalized basis vectors in two dimensions and then ordering in zigzag fashion. Simulation and experimental results show that the sampling rate, image quality and computational complexity of our method are competitive to the state of the art methods.
单像素成像是一种通过将一系列空间图案投射到物体上，并由单个光电探测器捕获反射光来重建场景图像的技术。自从引入压缩传感方法以来，就可以使用随机空间图案，并将其数量减少到奈奎斯特 - 香农极限以下，以形成质量良好但空间分辨率较低的图像。另一方面，基于哈达玛图案的方法可以通过增加采集测量时间来重建大图像。在此，我们提出一种有效的策略，将哈达玛基图案按相关性从高到低排序，然后以至少8%的极低采样率重建图像。我们的提议基于二维广义基向量的构建，然后以之字形方式排序。仿真和实验结果表明，我们方法的采样率、图像质量和计算复杂度与现有方法相比具有竞争力。
