基于全变差重构算法的数字全息研究

Study on digital holography based on the total variation reconstruction algorithm

为了消除传统算法对数字全息重构过程中会出现0级像、共轭像干扰的问题,将压缩感知理论与数字全息图再现相结合,提出了基于全变差的两步迭代收缩阈值重构算法(TwIST),并应用于数字全息图压缩感知全息图重建。TwIST算法根据重构成分的特点增加正则约束,对相应的形态进行调整,在满足全变差最小的特性的基础上进行重构,提高了重构全息图的质量。结果表明,TwIST算法可以对数字全息图稀疏重建,利用35%的部分全息图数据进行图像重构,重构图像峰值信噪比为36.46dB,且没有0级像和共轭像等干扰。该研究结果对实现计算全息的实时性具有重要的意义。

In order to eliminate the zero-order image and the conjugate image interference problems in the traditional algorithm for reconstruction of digital hologram , a new algorithm based on the total variation of the two-step iterative shrinkage thresholding （ TwIST ） was proposed combining compressive sensing theory with reconstruction of the digital hologram .According to the characteristics of the reconstruction component , the TwIST algorithm based on the total variation improves the quality of the reconstruction of hologram .The simulation results show that the hologram can be reconstructed from a sparse hologram with TwIST reconstruction algorithm a high quality image was reconstructed from 35%of a hologram and the peak signal-to-noise ratio （ PSNR） of the reconstructed image was 36.46dB without zero-order image and conjugate image interference .The study is helpful for implementing real-time computer-generated hologram .