自干涉非相干数字全息的压缩感知重建

Self-Interference Incoherent Digital Holography by Compressive Sensing

自干涉非相干数字全息可记录和再现非相干光源照明下物光场信息。但基于目前理论的重建算法对待测光场的不同纵向深度层面进行聚焦重构时,聚焦面信息会受到离焦层面光场信息的干扰。基于压缩感知理论,根据自干涉非相干数字全息的光学记录与再现过程,建立与该物理过程相适应的传感矩阵,从理论上构建实现光场分层重构的数值重建算法框架。基于自干涉非相干数字全息光路,以多个不同纵向深度的LED点光源构建物光场,分别进行计算机数值模拟及实验研究,并且深入讨论光场层面再现距离与各实验参数之间的关系,指出增大各光场层面再现距离间差距的方法。理论及实验研究结果表明该方法可重构不同纵向深度层面的三维物光场,并有效抑制离焦层面光场信息的干扰。

Self-interference incoherent digital holography （SIDH） retrieves the object information from the digital hologram illuminated by the incoherent light. However, the reconstructed image according to different sections will be disturbed by the out-of-focus sectional image by employing the traditional numerical reconstruction method. Therefore, a numerical reconstruction method for SIDH by employing compressive sensing （CS） is proposed to achieve the reconstruction of three-dimensional （3D） sectional image.Firstly, according to CS, the sensing operator is built up based on the physical mechanism of SIDH. And then,the recovery algorithm is employed for the image restoration. Numerical simulation and experimental research on SIDH employing several LEDs at different positions are performed to demonstrate the feasibility and validity of the method. In addition, the relationship of the reconstructed distance according to different sectional images and the experimental parameters is discussed. The analysis result shows that different sectional images can be reconstructed with the out-of-focus section information inhibited.