An improved vector extrapolation based on Richardson-Lucy algorithm was designed by embedding the modified exponent into the vector extrapolation. The structural similarity index was used as a criterion to determine the optimum iterations and optimum combinations of two acceleration factors. Experimental results show that total iterations are reduced approximately 78.9% and visually satisfactory restoration results can be obtained without denoising the restored image further. This work provides a reference for the development of the Richardson-Lucy algorithm in the application of real-time wave-front coded imaging.