Tomographic reconstruction of lensless amplification hologram based on compressive sensing

作者：Wu Xiaoyan; Yu Yingjie^*; Zhou Wenjing; Liu Beibei; Wu Xin

来源：Acta Optica Sinica, 2014, 34.

DOI：10.3788/AOS201434.s209002

• Compressive sensing
• Exponential distributions
• Frequency domains
• Quality indices
• Sampling ratios
• Simulation and testing
• Tomographic reconstruction
• Wavelet basis

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.

• 出版日期2014
• 单位上海大学