光学学报, 2014, 34 (s2): s209002, 网络出版: 2014-12-02  

压缩传感无透镜放大全息层析重建

Tomographic Reconstruction of Lensless Amplification Hologram Based on Compressive Sensing
作者单位
上海大学精密机械工程系, 上海 200072
摘要
采用关键基对为傅里叶小波基的压缩传感无透镜放大全息技术,研究全息层析重建问题。论述了压缩传感无透镜放大全息重建技术的基本原理;采用概率密度函数服从指数分布的采样模式,进行全息图的频域减采样,并且利用l1范数最小化开展物体重建工作;通过模拟实验和测试实验分析压缩传感无透镜放大全息技术。仿真结果显示,对于频域减采样25%的全息图,多层切平面的压缩传感重建比反衍射重建的平均质量指标提高了3倍。对两层透明样本的测试实验同样表明,压缩传感无透镜放大全息技术对频域减采样全息图重建的有效性。
Abstract
Compressive sensing lensless amplification holography is proposed to resolve the tomographic reconstruction of hologram, by using the Fourier-wavelet basis as the key basis pair of compressive sensing. The principle of compressive sensing lensless amplification holography is introduced in detail. Frequency domain of hologram is down-sampled by using of the sampling pattern, the probability density function of which obeys exponential distribution; and the reconstruction of object is implemented by l1-norm minimization. Compressive sensing lensless amplification holography is analyzed by making use of simulation and testing experiments. The simulating results show that the average quality index of reconstructing multilayer slices is increased three times by compressive sensing than back-propagating method, for hologram down-sampled with sampling ratio of 25% in frequency domain. The testing experiment for two-layer transparent sample also indicates the feasibility of this method for reconstructing hologram, which is down-sampled in frequency domain.

伍小燕, 于瀛洁, 周文静, 刘贝贝, 武欣. 压缩传感无透镜放大全息层析重建[J]. 光学学报, 2014, 34(s2): s209002. Wu Xiaoyan, Yu Yingjie, Zhou Wenjing, Liu Beibei, Wu Xin. Tomographic Reconstruction of Lensless Amplification Hologram Based on Compressive Sensing[J]. Acta Optica Sinica, 2014, 34(s2): s209002.

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