论文标题
高像素分辨率的单像素成像
Single pixel imaging at high pixel resolutions
论文作者
论文摘要
通常报道的单像素成像（SPI）的像素分辨率在$ 32 \ times 32 $和$ 256 \ times 256 $ 256 $的像素之间变化远低于经典方法的成像标准。低分辨率是由于可接受的压缩比，有限的DMD调制频率和合理的重建时间之间的权衡而产生的，并且在对SPI的深入研究的十年中，没有显着改善。在本文中，我们表明，DMD的完整分辨率的图像测量仅持续一秒钟，对于稀疏图像或视野有限但先验未知的情况是可能的。我们提出了采样和重建策略，使我们能够在$ 0.3〜 $ s的时间内以$ 1024 \ times 768 $的分辨率重建稀疏图像。重建了非SPARSE图像的细节更少。压缩比为$ 0.4 \％$的订单，对应于$ 7〜 $ Hz的采集频率。采样是差异，二进制和非自适应的，其中包括有关图像的多重分区的信息，后来我们可以确定视图的实际视野。重建基于差分傅立叶域正则倒置（D-FDRI）。所提出的SPI框架是自适应SPI的替代方法，这是实时实施的具有挑战性，并且是经典的压缩感测图像恢复方法，在高分辨率下，它们非常慢。
The usually reported pixel resolution of single pixel imaging (SPI) varies between $32 \times 32$ and $256 \times 256$ pixels falling far below imaging standards with classical methods. Low resolution results from the trade-off between the acceptable compression ratio, the limited DMD modulation frequency, and reasonable reconstruction time, and has not improved significantly during the decade of intensive research on SPI. In this paper we show that image measurement at the full resolution of the DMD, which lasts only a fraction of a second, is possible for sparse images or in a situation when the field of view is limited but is a priori unknown. We propose the sampling and reconstruction strategies that enable us to reconstruct sparse images at the resolution of $1024 \times 768$ within the time of $0.3~$s. Non-sparse images are reconstructed with less details. The compression ratio is on the order of $0.4 \%$ which corresponds to an acquisition frequency of $7~$Hz. Sampling is differential, binary, and non-adaptive, and includes information on multiple partitioning of the image which later allows us to determine the actual field of view. Reconstruction is based on the differential Fourier domain regularized inversion (D-FDRI). The proposed SPI framework is an alternative to both adaptive SPI, which is challenging to implement in real time, and to classical compressive sensing image recovery methods, which are very slow at high resolutions.
