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为了缓和传统数字全息重建算法在分辨率和计算量之间的相互制约关系,基于欠采样数字解调理论,通过对恢复后的物波场先进行空域或频域减采样,滤除物波中的冗余信息,然后通过补零算法提高有用信息的重建分辨率,从而实现高分辨数字全息的快速重建。分别给出了减采样菲涅尔重建(FR)算法和减采样角谱重建(AS)算法的最大允许采样间隔,推导了两种减采样重建算法所需像素与分辨率提高倍率和减采样倍率之间的定量关系。结果表明,减采样数字全息重建算法非常适合高分辨数字全息的快速重建。通过实验对该算法进行了分析和验证。
In order to mitigate the mutual restraint relationship between the resolution and the computational complexity of the traditional digital holographic reconstruction algorithm, based on the undersampled digital demodulation theory, Then, the reconstruction resolution of useful information is increased by zero-padding algorithm, so that the fast reconstruction of high-resolution digital holography can be achieved. The maximum allowable sampling interval of subtraction-like Fresnel reconstruction (FR) algorithm and subtraction-sampled angular spectrum reconstruction (AS) algorithm are respectively given, and the resolutions of pixel enhancement and downsampling The quantitative relationship between. The results show that the downsampling digital holographic reconstruction algorithm is very suitable for fast reconstruction of high resolution digital holography. The algorithm is analyzed and verified through experiments.