Abstract Digital holography enables the digitization processing of holograms. The resolution of the reconstructed image is greatly limited by the pixelated imaging detectors. To improve the resolution, a bicubic interpolation and extrapolation iteration (BIPEPI) method is proposed to compensate the limited size of the digital holograms. Based on the prior knowledge of the model of Fresnel zone plate with circular diffraction gratings, the pixel density is increased by the bicubic interpolation (BIP) method inside the hologram to enhance the low-frequency terms of the object. With extrapolation iterations (EPI) method, more high order fringes outside the hologram are generated to enhance the high-frequency terms of the object. The resolution of the reconstructed image can be effectively improved by combining this predicted low- and high-frequency terms. Numerical simulations and optical experiments are presented and the feasibility of the proposed method is quantitatively evaluated.

中文翻译：

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高分辨率数字全息重建的双三次插值和外推迭代方法

摘要 数字全息实现了全息图的数字化处理。重建图像的分辨率受到像素化成像检测器的极大限制。为了提高分辨率，提出了一种双三次插值和外推迭代（BIPEPI）方法来补偿数字全息图的有限尺寸。基于圆形衍射光栅菲涅耳波带片模型的先验知识，在全息图内部通过双三次插值（BIP）方法增加像素密度，增强物体的低频项。通过外推迭代（EPI）方法，在全息图外产生更多的高阶条纹，以增强物体的高频项。通过结合这些预测的低频和高频项，可以有效地提高重建图像的分辨率。给出了数值模拟和光学实验，并定量评估了所提出方法的可行性。