The Fourier transform method (FTM), which can reconstruct a wavefront from a single hologram, is widely used in digital holography (DH) as a reconstruction technique. However, the space-bandwidth product (SBP) is limited because of the frequency filtering required. We propose a wavefront reconstruction algorithm based on compressed sensing that can obtain a high SBP for use instead of the FTM. The proposed method can reconstruct a high-SBP wavefront by solving the hologram recording model with total variation regularization. We demonstrate the proposed method’s effectiveness via simulations and experiments. The method can be applied to conventional off-axis DH without alteration and thus can be applied in various fields.

中文翻译：

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压缩离轴数字全息

可以从单个全息图重建波前的傅里叶变换方法（FTM）在数字全息（DH）中被广泛用作重建技术。但是，由于需要进行频率滤波，因此空间带宽乘积（SBP）受到限制。我们提出了一种基于压缩感知的波前重建算法，该算法可以获取较高的SBP来代替FTM使用。所提出的方法可以通过求解具有总变化正则化的全息记录模型来重建高SBP波前。我们通过仿真和实验证明了该方法的有效性。该方法可以不改变地应用于常规离轴DH，因此可以应用于各种领域。