Meng Qi, Lai Wenchang, Lei Guozhong, Liu Hao, Cui Wenda, Shi Dongfeng, Wang Yan, Han Kai
Opt Express. 2023 Oct 9;31(21):34527-34541. doi: 10.1364/OE.501142.
Limited by the number of illumination fields and the speed of a spatial light modulator, single-pixel imaging (SPI) cannot realize real-time imaging and fast classification of an object. In this paper, we proposed the circular harmonic Fourier single-pixel imaging (CHF-SPI) for the first time to realize fast imaging and classification of objects. The light field distribution satisfies the circular harmonic Fourier formula, and the light intensity values of the single-pixel detector are equivalent to the circular harmonic Fourier moments. Then the target can be reconstructed under low sampling ratio by inverse transformation. Through simulation and experimental verification, clear imaging can be performed at a sampling ratio of 0.9%. In addition, circular harmonic Fourier moments are used to construct multi-distortion invariant to classify objects with rotation and scale change. The scale change multiples of objects can be calculated and the objects can be classified by using 10 light fields. It is of great significance to classify objects quickly without imaging.
受照明场数量和空间光调制器速度的限制，单像素成像（SPI）无法实现对物体的实时成像和快速分类。在本文中，我们首次提出了圆谐波傅里叶单像素成像（CHF-SPI）以实现对物体的快速成像和分类。光场分布满足圆谐波傅里叶公式，单像素探测器的光强值等同于圆谐波傅里叶矩。然后通过逆变换可在低采样率下重建目标。通过仿真和实验验证，在0.9%的采样率下即可进行清晰成像。此外，利用圆谐波傅里叶矩构建多畸变不变量以对具有旋转和尺度变化的物体进行分类。通过使用10个光场可计算物体的尺度变化倍数并对物体进行分类。在无需成像的情况下快速对物体进行分类具有重要意义。
