University of Warsaw, Faculty of Physics, Warsaw, 02-093, Poland.
Sci Rep. 2018 Jan 11;8(1):466. doi: 10.1038/s41598-017-18968-6.
Single-pixel imaging is an indirect imaging technique which utilizes simplified optical hardware and advanced computational methods. It offers novel solutions for hyper-spectral imaging, polarimetric imaging, three-dimensional imaging, holographic imaging, optical encryption and imaging through scattering media. The main limitations for its use come from relatively high measurement and reconstruction times. In this paper we propose to reduce the required signal acquisition time by using a novel sampling scheme based on a random selection of Morlet wavelets convolved with white noise. While such functions exhibit random properties, they are locally determined by Morlet wavelet parameters. The proposed method is equivalent to random sampling of the properly selected part of the feature space, which maps the measured images accurately both in the spatial and spatial frequency domains. We compare both numerically and experimentally the image quality obtained with our sampling protocol against widely-used sampling with Walsh-Hadamard or noiselet functions. The results show considerable improvement over the former methods, enabling single-pixel imaging at low compression rates on the order of a few percent.
单像素成像技术是一种间接成像技术，它利用简化的光学硬件和先进的计算方法。它为超光谱成像、偏振成像、三维成像、全息成像、光学加密和散射介质成像提供了新的解决方案。其使用的主要限制来自于相对较高的测量和重建时间。在本文中，我们提出了一种新的基于随机选择的 Morlet 小波与白噪声卷积的采样方案，以减少所需的信号采集时间。虽然这些函数具有随机特性，但它们是由 Morlet 小波参数局部确定的。所提出的方法等效于对特征空间中适当选择部分的随机采样，该方法在空间域和空间频率域中都能准确地映射测量图像。我们在数值和实验上比较了我们的采样方案与广泛使用的 Walsh-Hadamard 或噪声函数采样获得的图像质量。结果表明，与前几种方法相比，该方法有了相当大的改进，能够以百分之几的低压缩率进行单像素成像。
