Abstract The resolution of reconstructed images is significantly limited by the size of captured holograms in digital holography. A multiplane digital holographic algorithm based on extrapolation iterations is proposed herein. Holograms at different axial distances are captured with a shifting imaging sensor and then extrapolated to a larger hologram after padding. Multiple holograms provide multipoint constraints in diffraction calculation. Constraints based on the energy distribution and transmissions of an object are applied to extract the object function from the holograms. The method achieves a higher convergence speed for solving the inverse problem compared with the single-plane extrapolation method. We demonstrate that the reconstruction in multiple planes yields a better resolution than that in one plane.

中文翻译：

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基于外推迭代的多平面数字全息

摘要 数字全息术中捕获的全息图的大小极大地限制了重建图像的分辨率。本文提出了一种基于外推迭代的多平面数字全息算法。不同轴向距离的全息图通过移动成像传感器捕获，然后在填充后外推到更大的全息图。多个全息图在衍射计算中提供多点约束。应用基于对象的能量分布和透射的约束来从全息图中提取对象函数。与单平面外推法相比，该方法在求解逆问题时实现了更高的收敛速度。我们证明了在多个平面上的重建比在一个平面上产生了更好的分辨率。