Based on LabVIEW software, the imaging process of Abbe 4F system is designed at all the parts. Object image is generated by two-dimensional grating, and the frequency spectrum is obtained by Fourier transform.  After the frequency spectrum is processed by different filters,  an image plane image is produced by inverse Fourier transform. In the design and simulation of the generated two-dimensional grating and different two-dimensional filters, it is convenient to operate and control the type and size of the grating and the filters. This program plays an active role in understanding the correspondence between frequency spectrum and spatial image.