A system of linear equations is in general solved to approximate discretely the illumination function in radiosity computation. To improve the radiosity solution, a method that performs shooting and gathering in an interleaving manner is proposed in the paper.Besides, a criterion has been set up and tested for choosing object elements used in the gathering operation, and a criterion is established to quantify the solution errors by taking into account more reasonably of the human perception of the radiosity solution. Experimental results show that the method proposed has nice performance in improving the radiosity solution.