基于频域变密度减采样的无放大同轴全息图的压缩传感层析重建

Compressive sensing tomographic reconstruction of non-amplifying in-line hologram based on variable density downsampling in frequency domain

  • 摘要: 将频域变密度减采样应用于无放大同轴全息图的压缩传感层析重建当中,旨在于从无放大同轴全息图的频域中提取少量信息,实现全息图频域少量数据的压缩传感层析重建。首先,理论介绍了三种变密度减采样法与全息图压缩传感重建相结合的原理,三种变密度减采样分别是射线分布、螺旋线分布以及指数分布变密度减采样;其次,分别开展了仿真实验和测试实验,分析了与压缩全息相结合的三种变密度减采样方法的重建质量。由实验可知:(1)能够通过三种变密度减采样实现全息图频域少量数据的提取;(2)随着采样率的增大,变密度减采样获得的全息图频域少量数据的压缩传感层析重建质量不断提高;(3)在采样率小于50%的情况下,指数分布减采样具有比另外两种减采样方法获得更高的重建质量(例如低采样率15%,指数分布减采样比另外两种方法的效果更为明显);(4)在采样率大于50%的情况下,三种减采样模式所获得数据的层析重建质量较高且基本相一致。

     

    Abstract: A frequency-domain variable density downsampling method was applied to the reconstruction of compressive sensing tomography for non-amplifying in-line hologram. The purpose was to extract a small amount of information from the frequency-domain of non-amplifying in-line hologram and realize the reconstruction of compressed sensing tomography from a small amount of data in the frequency-domain of the hologram. Here, firstly it introduced the principle of combining three variable density downsampling with compressive sensing tomography reconstruction of hologram. Three kinds of variable density downsampling respectively were radial distribution, spiral distribution and exponential distribution variable density downsampling. Secondly, it carried out simulation and test experiments and analyzed the reconstruction quality of the methods for variable density downsampling combined with compressive holography. By experiments, it could be seen that:(1) three kinds of variable density downsampling could realize the extraction of a small amount of data for hologram in the frequency domain; (2) with the increase of sampling rate, the compression sensing tomography reconstruction quality of a small amount of data obtained by variable density reduction sampling was continuously improved; (3) under the sampling rate of less than 50%, exponential distribution downsampling had higher reconstruction quality than the other two methods (for example, in the case of low downsampling rate of 15%, the reconstruction quality of exponential distribution was more obvious than the other two methods); (4) under the sampling rate of more than 50%, the tomographic reconstruction quality of the three downsampling modes was relatively high and basically consistent.

     

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