Abstract: Image deformation denotes a way to deform the image based on the position of the input control handles.This paper introduces an optimization-driven image deformation technique based on line handles.The goal of the optimization is that the Laplacian coordinates of the boundary vertices and the mean-value coordinates of the interior vertices are preserved,while satisfying the deformation constraints specified by the user.To get a realistic similar transformation,the length of an edge is scaled based on the length of the control lines.Experimental results demonstrate the effectiveness and performance of the proposed method.