Fixing the quantity relation between the row′s and column′s size of the reconstructed image matrix is necessary in order to avoid profile distortion in a Fourier telescope; Specializing the row′s and the column′s size is necessary in order to evaluate the reconstructed results of the Fourier telescope. Based on the Fourier analysis, the unconspicuous relation between the transmitter interval and the size of the matrix is explored. Two equations are acquired by rigorously deducing, which are verified by simulation and experiment to keep image profile with no change and make the recostructed target and original matrixs have the same size.