A new improvement is proposed for stereo matching which gives a solution to disparity map in terms of edge energy.We decompose the stereo matching into three parts:sparse disparity estimation for image-pairs,edge energy model and final disparity refinement.A three-step procedure is proposed to solve them sequentially.At the first step,we perform an initial disparity model using the ordering constraint and interpolation to obtain a more efficient sparse disparity space.At the second step,we apply the energy function by the edge constraints that exist in both images.The last step is a kind of disparity filling.We determine disparity values in target regions based on global optimization.The proposed three-step simple stereo matching procedure yields excellent quantitative and qualitative results with Middlelury data sets in a fast way.