压缩感知重建离轴菲涅耳全息图

摘要

Based on the classical numerical reconstruction method, the reconstructed image according to different depth section of the three-dimensional object would be disturbed by the twin image and out-of-focus section image. Therefore, a numerical reconstruction method according to compressive sensing theory for a single off-axis Fresnel hologram is proposed to achieve tomographic imaging. First, the adaptive filtering method is applied to the hologram to eliminate the twin image. And then, based on the compressive sensing theory, different depth section images can be reconstructed with the background out-of-focus object inhibited. The numerical simulation and digital holography experiment employing test targets are performed to demonstrate the feasibility and validity of the method.%针对基于传统数字全息重建算法对待测物体的不同纵向深度截面进行聚焦重构时，聚焦面物体会受到共轭像及背景离焦物体的干扰，本文提出基于压缩感知理论，构建单幅离轴菲涅耳数字全息图层析成像的算法框架。该方法通过自适应空间滤波技术对全息图进行处理，基于压缩感知理论重构不同纵向深度截面图像，并有效抑制背景离焦物体的干扰，最终达到层析成像的目标。计算机数值模拟以及三维待测物体实验结果表明该方法的有效性和可行性。