1. A method for recovering a compressed motion picture, comprising the steps of: defining a cost function having a smoothing degree of an image and a reliability with respect to an original image in consideration of the directional characteristics of the pixels which will be recovered and a plurality of pixels near the pixels which will be recovered; obtaining a regularization parameter variable having a weight value of the reliability with respect to the original image based on a cost function; and approximating the regularization parameter variable using the compressed pixel and obtaining a pixel which will be recovered, wherein said regularization parameter variable is a weight value with respect to reliability and is determined based on a difference between the original pixel and the compressed pixel and a difference value between the original pixel and the neighboring pixel.