To apply Fourier Telescopy (FT) based on T type laser transmitter array to detect remote targets of dim, weak and small in high resolution, a new image reconstruction algorithm is proposed. The image reconstruction algorithm of dot-plane type laser transmitter array is used for reference proposes a concept which is named informal phase closure (IPC). The least mean square (LMS) reconstruction method and weighted noise Wiener filter algorithm (Wiener) are obtained perfect the FT system imaging quality of T-type laser transmitter configuration. The image reconstruction algorithm will lay the technical foundation for the implementation of practical engineering system. By the numerical simulation the overall system under different signal to noise ratios (SNR) of imaging conditions, imaging quality is improved, when the imaging SNR is low, such as SNR is 50, compared to directly inverse Fourier Transform method, the Strehl Ratios (SR) of reconstruction images of using the LMS and Wiener algorithms are respectively increased by 7% and 8.4%. The simulation confirms the feasibility and validity of the LMS and Wiener algorithms.