三维复杂场景的菲涅耳全息图频域压缩重建

发布时间：2018-03-20 12:47

本文选题：全息　切入点：压缩感知　出处：《光学学报》2017年07期 　论文类型：期刊论文

【摘要】：针对三维物体计算机产生全息图信息的相似性和冗余性问题,提出了一种基于三维总变分稀疏模型复杂三维场景的菲涅耳全息图频域压缩重建方法。首先通过计算获得了三维物体的菲涅耳全息图,然后利用概率密度函数服从指数分布的非相干变密度频域下采样模式对菲涅耳全息图的频域进行频域下采样操作,最后利用压缩感知重构算法对下采样后的全息图频域信息进行频域压缩重建。模拟实验验证了该方法的可行性,相比于传统的利用高斯随机测量矩阵对全息图空域的下采样模式,所提方法能够显著提高重构图像的峰值信噪比,这方法尤其适用于低采样率情况下。
[Abstract]:Aiming at the problem of similarity and redundancy of hologram information generated by 3D object computer, A Fresnel hologram frequency domain compression reconstruction method based on 3D total variational sparse model and complex 3D scene is proposed. Firstly, Fresnel holograms of 3D objects are obtained by calculation. Then the frequency domain sampling operation of Fresnel hologram is carried out by using the probability density function under sampling mode in frequency domain from the incoherent variable density frequency domain of exponential distribution. Finally, the frequency domain compression reconstruction of the downsampled hologram frequency domain information is performed using the compression perception reconstruction algorithm. The simulation results show that the proposed method is feasible. Compared with the traditional down-sampling method using Gao Si random measurement matrix, the proposed method can significantly improve the peak signal-to-noise ratio (PSNR) of reconstructed images, especially in the case of low sampling rate.
【作者单位】：安徽大学计算智能与信号处理教育部重点实验室;
【基金】：国家自然科学基金(61377006,61501001,61301296,61605002) 安徽省自然科学基金(1508085 MF121,1608085QF161) 安徽省高等学校自然科学研究项目(1508085 MF121,1608085QF161);安徽省高等学校自然科学研究项目(KJ2015A114,KJ2016A029) NSFC-广东联合基金项目(U1201255)
【分类号】：O438.1;TP391.41

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