We consider lossy image coding methods using integer wavelet transforms and describe new applications of lossless JPEG2000 coding for re-encoding without the use of any coding parameters, such as the target rate. The relationship between lossless and lossy coding based on JPEG2000 is discussed and an efficient lossless coding method for lossy images is proposed. The proposed method is useful for the dubbing and editing of images and video sequences. By providing the result of some simulations, we demonstrate the effectiveness of the proposed method.