为了研究数字全息中孔径合成问题,采用理论分析与实验验证的方法,通过介绍合成孔径数字全息记录和再现的基本原理,指出在合成孔径数字全息系统中,准确拼接合成子全息图是系统获得高分辨率的重要因素。提出了一种基于图像灰度分布相关的算法用以解决子全息图的准确拼接以实现孔径合成,介绍了该算法的原理,分析了该算法精度并进行了相应的实验验证,得到了预期成果。结果表明,该算法能较好地解决子全息图的拼接合成问题,在合成孔径数字全息系统中具有较好的适用性。

In order to study the problem of aperture synthesizing in digital holography,the method of theoretical analysis and experimental verification was adopted.The fundamental principle of recording and numerical reconstruction of the synthetic aperture digital holography was introduced.It was proved that the most important factor was synthesizing all the sub-holograms precisely to get the high resolution.A new method based on gray correlation algorithm for solving the problem on how to synthesize sub-holograms precisely was proposed.The principle of the algorithm was introduced and the precision was analyzed.The experiment results show the feasibility of the algorithm.