Decomposition and Reconstruction Method provide directional information in decomposition levels and contain unique information at different resolution. The idea behind the concept of image fusion is to improve the image content by fusing two images like MRI and CT images to provide useful and precise information for doctor for their clinical treatment in one image. Discrete Ripplet Transform is a higher directionality and localization of the transform such edges. Discrete Wavelet Transform suffer from discontinuity of the image. So, use combination of DWT and DRT method has better image than DWT. So in future the ripplet transform can solve the discontinuity in the image. So for improving the image the combination of DWT and DRT can be use.