Aiming at the problem that the existing single image rain removal algorithms exist obvious rain streaks residual or over-smooth background

a guided single image rain removal algorithm based on fusion sparse model is proposed. Firstly

the fusion analysis and synthesis sparse model are used to learn the background image with partial rain streaks residual and the rain streaks image by iterative method that called the alternating direction method of multipliers. Secondly

the guided filtering with better edge preservation smoothness is used to obtain the final rain-free image. The experimental results show that the proposed algorithm has higher peak signal to noise ratio and structural similarity than the typical comparison algorithm in the past three years. And the proposed algorithm can remove rain streaks effectively and preserve image background detail to a large extent at the same time.