Distributed holographic aperture digital imaging technology is an active imaging technology that uses digital holography to record the complex amplitude information of each sub-aperture, and realizes comprehensive imaging through phase stitching between apertures. In long-distance imaging, the high-order phase error in the subaperture introduced by atmospheric turbulence, the low-order phase error between the subapertures, and the position mismatch error between the apertures will affect the imaging quality. Stochastic parallel gradient descent (SPGD) is an optimal control algorithm without wavefront detection. With the advantages of parallelism, fast convergence, high efficiency and reliability, it can be used to correct high-order and low-cost phase errors within the aperture of the system. However, the SPGD algorithm requires multiple iterations and a huge amount of calculations, which is difficult to meet the real-time requirements. In this paper, parallel acceleration processing was performed based on the GPU platform for both high and low-order phase error correction, and the operation speed is 26.42 and 36.47 times higher than the CPU platform, respectively. In addition, the AKZAE algorithm was used to correct the position mismatch error between the sub-apertures and complete the splicing of the complex amplitudes of the sub-apertures, Finally, distributed four-aperture comprehensive imaging was realized.