为避免傅里叶望远镜重建图像压缩变形,依据激光发射孔径间距,提出了重建图像时矩阵行、列数间应满足的关系;为评价仿真或实验的成像效果,依据发射孔径间距和原目标图像矩阵大小,确定重建图像矩阵规模的具体大小。严格推导逆离散傅里叶变换在傅里叶望远镜中实现图像重建的过程,分析了其中所隐含的发射孔径间距和重建图像矩阵规模间的数量关系,得出两个限定关系公式。仿真和实验结果表明这两个公式可分别保证图像轮廓不产生畸变、重建目标矩阵与原始目标矩阵规模相同。 In order to avoid the reconstruction of image compression deformation by Fourier Telescope, according to the distance between laser emission apertures, the relationship between rows and columns of the matrix should be satisfied when reconstructing the image. To evaluate the imaging performance of simulation or experiment, The size of the matrix, to determine the size of the reconstruction image matrix size. Strict deduction of inverse discrete Fourier transform in the Fourier Telescope to achieve the image reconstruction process, which analyzes the implied emission aperture spacing and reconstructed image matrix size between the number of relations obtained two formulas. Simulation and experimental results show that these two formulas can ensure that the image contour does not distort respectively, and the reconstructed target matrix has the same size as the original target matrix.