This paper proposes a new adaptive scheme for stereo image coding . The original left and right images are jointly coded in order to exploit the high correlation between the two images for a lossless coding. Our goal is to design an efficient transform that reduces the existing redundancy in the stereo pair. This approach is inspired by the lifting scheme (LS). First, illumination change compensation has been made. Secondly, the prediction filtering is locally adapted and is based on local horizontal and vertical gradient information. In the sense that small gradient evokes predictability in the same direction. The coefficients of the predictor are then optimized. Experimental results show improvement in term of performance and complexity compared to other proposed methods.