Modern holography is dealing mainly with speckle noise and computational complexity. A compromise is required between computational complexity (computing time) and quality of obtained images. This leads to a need to obtain a simple method of noise suppression with low computation complexity. An improved efficient projection of color images is presented. It uses time averaging of intensity patterns reconstructed from the same Fourier hologram with lateral shifting in x and y direction. We try to establish the optimal step of shifting the Fourier spectra in both directions for each of the primary colors.